{"id":"7edc1db0-73a2-4f90-9f0b-a3084ba706c8","arxiv_id":"1908.04788","paper_version":3,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"Gaugino condensation on D7-branes plus anti-D3-branes produce a ten-dimensional stress-energy that exactly reproduces the KKLT four-dimensional scalar potential and curvature.","lead":"This paper derives the ten-dimensional stress-energy from gaugino condensation on D7-branes and shows that, together with anti-D3-branes, the ten-dimensional equations of motion force the four-dimensional curvature to match the KKLT de Sitter prediction exactly. It matters because it provides a cross-check of the disputed KKLT construction using the full ten-dimensional supergravity, rather than only its four-dimensional reduction.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"dS matching rests on the unproven off-shell extension of the superpotential relation (A.101); all non-supersymmetric results in §4 inherit this gap, and §5 concedes it explicitly.","rationale":"The reader's weakest assumption is exactly the load-bearing concern. The on-shell part of the paper is impressive: the derivation of the D7-brane gaugino couplings from type I, the use of modified Killing spinor equations, and the cancellation of divergences in Appendix C are substantial, and I do not see an internal inconsistency in the supersymmetric matching. However, the paper's abstract and Section 4 claim exact agreement with KKLT for the de Sitter vacuum. That claim requires evaluating the gaugino-flux stress-energy away from the supersymmetric vacuum, where the KSE-based derivation of (A.101) does not apply. The authors explicitly disclaim proof of the off-shell extension. The concern is concrete: the translation between G[2]·Ω and W enters (A.108) with coefficient KT W; if (A.101) fails off-shell, this coefficient is not KT W, and the ten-dimensional R4 computed from (2.22) would not match (3.34). No other candidate concern seems as load-bearing: the injection of ⟨λλ⟩ from four dimensions is an announced input rather than a hidden assumption; the neglect of T_int in §4 is supported by a quantitative spectroscopy argument (Appendix B) that could be checked separately; and the on-shell matching and divergence cancellation are self-consistent. The off-shell equality, by contrast, is both necessary for the dS claim and explicitly unproven. Therefore the reader's CONDITIONAL verdict is appropriate, and I would leave it unchanged unless the proposed off-shell check is performed.","tokens_in":42532,"tokens_out":5574,"duration_ms":59238,"concrete_test":"Perform a one-parameter off-shell check: fix the deformation of the ten-dimensional fields by the anti-D3-brane source δφ|D3 as in (4.3), solve the linearized bulk equations (including the Bianchi identities (2.19) and (A.74)-(A.75)) for the flux G_{0,3} without imposing the Killing spinor equations (A.93)-(A.95), and compute ⟨W_GCG⟩ from (A.96) at T ≠ T_AdS. Then compare (A.101) term by term: if the coefficient defined by 2α−β−ξ in (A.100) does not vanish off-shell, insert the corrected expression into (A.108) and evaluate the resulting potential in (2.22). If it differs from (3.34) at leading order in δT = T − T_AdS, the off-shell assumption fails and the dS curvature match is not established. A minimal version of this check is to verify the T-derivative of (A.101) at fixed δφ|D3.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The paper's central claim is that the ten-dimensional equations of motion imply the four-dimensional KKLT curvature exactly, including in the de Sitter vacuum. The chain that produces this result passes through the gaugino-flux coupling (3.20): one must evaluate G[2]·Ω and translate the result into the four-dimensional superpotential W. That translation is supplied by the relation ⟨W_GCG⟩ = W, Eq. (A.101), together with its use in Eq. (A.108). The derivation of (A.101) in §A.3.4 is explicitly supersymmetric: the coefficients α=1, β=2, ξ=0 in the Killing spinor equations (A.59)-(A.61) are fixed by (i) matching G_{1,2} and G_{0,3} from the Bianchi-consistent flux (A.82)-(A.85), and (ii) requiring the D3-brane gaugino mass (A.88)-(A.89) to vanish in a supersymmetric vacuum. None of these conditions constrains the field configuration away from the supersymmetric minimum. Yet the dS computation of §4, and even the off-shell part of §3.3, evaluates the same coupling at shifted field values, e.g. φ_bg + δφ|D3 in (4.3), where the Killing spinor equations do not hold. Section 5 states the gap explicitly: 'provided that (3.22) continues to hold off-shell, which we find plausible but have not established here.' The precise failure mode is visible in (A.100): if 2α−β−ξ ≠ 0 away from the vacuum, then ⟨W_GCG⟩ ≠ W, and the KT W term in (A.108) is replaced by KT W_flux, so the ten-dimensional potential obtained from (2.22) would not equal (3.34). Thus the strongest claim — exact ten-dimensional recovery of the KKLT de Sitter potential — is not actually derived; it is conditional on a specific unproven off-shell equality. This is a missing derivation at a load-bearing point, not a contradiction with existing literature.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"This paper aims to derive the four-dimensional scalar potential of the KKLT de Sitter construction directly from ten-dimensional type IIB supergravity. Starting from the D7-brane gaugino action, the authors compute the two- and four-gaugino couplings, assign the four-dimensional gaugino bilinear vev (3.7), and derive the ten-dimensional stress-energy sourced by gaugino condensation. They then use their master equation (2.22), together with the stress-energy of anti-D3-branes, to compute the four-dimensional Einstein-frame curvature and claim exact agreement with the four-dimensional KKLT potential, both in the supersymmetric AdS vacuum and in the non-supersymmetric de Sitter vacuum. The AdS result is derived in detail, including a cancellation of singular contributions in Appendix C; the de Sitter result, however, is conditional on an off-shell extension of the superpotential relation (3.22)/(A.101), which the authors state they have not proved.","tokens_in":42940,"tokens_out":4270,"duration_ms":47111,"significance":"If the central claim were fully established, this would be a significant result: it would provide a ten-dimensional derivation of the KKLT scalar potential, including the gaugino-condensate stress-energy and its coupling to anti-D3-branes, and would resolve an important open question about the existence of a ten-dimensional description of de Sitter vacua. The paper contains substantial technical work, including a careful derivation of the D7-brane gaugino couplings, the corrected Killing spinor equations (A.93)-(A.95), and a detailed cancellation of singular divergences in Appendix C. The on-shell AdS match is a concrete and nontrivial result. However, the de Sitter part of the claim is not yet established, because it depends on an explicitly unproven off-shell equality; the paper itself concedes this in Section 5. The significance of the paper would be high if that gap were closed, but as it stands the strongest claim is conditional.","major_comments":[{"comment":"The de Sitter result is load-bearing on an unproven off-shell extension of the superpotential identity. The derivation of (A.101), i.e. ⟨W_GCG⟩ = W, fixes the coefficients α=1, β=2, ξ=0 using supersymmetric consistency conditions: the Bianchi-compatible fluxes (A.82)-(A.85) and the vanishing of the D3-brane gaugino mass (A.88)-(A.89) in a supersymmetric vacuum. The §4 computation, however, evaluates the gaugino-flux coupling at shifted field values φ_bg + δφ|D3, cf. Eqs. (4.3)-(4.4), where the Killing spinor equations do not hold. Equation (A.100) shows that if 2α−β−ξ ≠ 0 away from the supersymmetric minimum, then ⟨W_GCG⟩ ≠ W, and the term K_T W in (A.108) would be replaced by K_T W_flux, so the ten-dimensional potential would not equal (3.34). Section 5 concedes this explicitly: 'provided that (3.22) continues to hold off-shell, which we find plausible but have not established here.' This gap directly affects the central claim that the ten-dimensional equations of motion reproduce the KKLT de Sitter curvature exactly.","section":"§A.3.4, §4.2, §5; Eqs. (A.100), (A.101), (3.22)"},{"comment":"The claim that four-dimensional information enters only through the gaugino bilinear vev (3.7) requires qualification. The on-shell relation (A.101) is derived from ten-dimensional Killing spinor equations, but only under supersymmetric conditions; its off-shell use in the de Sitter computation is an additional assumption imported from the four-dimensional effective theory. As written, the derivation of (3.34) in §3.3 uses (A.101) to translate G[2]·Ω into K_T W, and the same translation is used at shifted field values in §4. The paper is honest about this, but it means the ten-dimensional computation does not independently predict the full KKLT potential away from the supersymmetric minimum. A concrete test would be to verify (A.101) off-shell in a simplified setting, or to identify which terms in the Killing spinor equations fail and how the correction scales.","section":"§1, §3.1, §A.3.5; Eqs. (3.7), (A.101)"},{"comment":"The proof that the interaction stress-energy T^int_μν in (4.7) is negligible is essential for the dS match, but part of the evidence is not available in the published literature. In particular, the spurion analysis that establishes the completeness of the leading corrections to the anti-D3-brane potential is cited to reference [66], which is listed as 'to appear' and is used for the results summarized in (B.22)-(B.31). Since the suppression of T^int_μν is one of the two directions needed for (4.9), the exactness of the final match should either be established without dependence on [66] or the relevant calculations should be included in this paper.","section":"§4.2, Appendix B; Eqs. (4.9), (B.30), (B.31)"}],"minor_comments":[{"comment":"The abstract and introduction state 'exact agreement' with the four-dimensional effective theory, but the body of the paper explicitly conditions the de Sitter part of the result on the unproven off-shell relation (3.22). The abstract should be qualified to reflect this caveat.","section":"Abstract, §1"},{"comment":"The notation 'G[2] · Ω' is used without defining the contraction convention before Eq. (3.20); the definition is only given later in Appendix A. A brief definition at first use would improve readability.","section":"§3.2.1, Eq. (3.18)"},{"comment":"The decomposition of the stress-energy into 'background plus δφ|⟨λλ⟩ plus δφ|D3' is schematic, and the nonlinear corrections are said to be negligible; it would be helpful to state explicitly the parametric expansion parameter (e.g., ratios of warp factors or of ⟨λλ⟩ to the KK scale) that controls this expansion.","section":"§4.2, Eqs. (4.3)-(4.7)"},{"comment":"Reference [66] is cited as 'to appear' but is used as a primary source for the spurion analysis in Appendix B; this should be updated to a published reference or the needed results should be reproduced in the paper.","section":"References"}],"recommendation":"major_revision","confidential_remarks":"The paper is technically substantial and the AdS part of the computation, especially the divergence cancellation in Appendix C, is a real achievement. The main issue is not an internal inconsistency but an explicitly acknowledged gap in the derivation of the de Sitter result. I believe the gap is in principle fixable, but it must be closed or the claims must be downgraded to a conditional match. The dependence on an unpublished reference [66] should also be checked before publication."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"The on-shell part is the real meat and it holds up. The paper derives the full ten-dimensional stress-energy of the D7 gaugino condensate, including two- and four-gaugino terms, and shows that in the supersymmetric AdS vacuum the ten-dimensional Einstein equations reproduce the KKLT potential exactly, with the singular terms canceling in Appendix C. That is a substantial technical result, and the corrected Killing spinor equations (beta=2 from Bianchi consistency) settle a genuine inconsistency in the earlier literature. Credit where due: this is not a rehash; it fixes concrete errors and gives a reproducible derivation of the AdS match.\n\nThe soft spot is exactly where the stress-test lands. The de Sitter claim, with anti-D3-branes, requires the generalized complex geometry superpotential to equal the full four-dimensional superpotential away from the supersymmetric minimum—equation (A.101) extended off-shell. The authors never prove this, and Section 5 says so plainly: 'provided that (3.22) continues to hold off-shell, which we find plausible but have not established here.' That's a load-bearing assumption. The precise failure mode is visible in (A.100): if 2α−β−ξ ≠ 0 off-shell, the recovered potential would use W_flux instead of W, and the match to KKLT fails. The reader's report and the stress-test agree on this, and so do I after reading the relevant appendix.\n\nThere is a second, less serious caveat: the computation injects the four-dimensional gaugino bilinear vev as an input, so it is not a fully self-contained ten-dimensional derivation. The authors are upfront about this, and it's not a flaw per se—it's the stated division of labor. But the abstract's claim of 'exact agreement' for the de Sitter case is stronger than what the paper establishes. The exact result is the AdS one; the dS one is conditional.\n\nWho is this for? Anyone working on KKLT stability, 10D descriptions of gaugino condensation, or the dS swampland debate. It is a serious, careful paper that deserves referee time. My main request to the authors, were I handling it, is to either prove or isolate the off-shell equality more precisely, and to soften the abstract so the headline matches the body. As is, I would send it to review and expect heavy revision on framing, not on the core AdS computation.","headline":"A technically strong 10D derivation of the KKLT AdS potential, but the advertised de Sitter match rests on an unproven off-shell assumption that the authors concede in §5.","tokens_in":43493,"tokens_out":2409,"would_cite":true,"duration_ms":25751,"reading_group":"yes","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":["83E50","81T30"],"pacs":["04.65.+e","11.25.-w"],"model":"deepseek-v4-flash","headline":"Ten-dimensional type IIB supergravity, with D7-brane gaugino condensation and anti-D3-branes included, forces the four-dimensional Einstein-frame curvature to exactly the value computed in the four-dimensional effective theory of the KKLT…","keywords":["type IIB supergravity","de Sitter vacua","gaugino condensation","D7-branes","anti-D3-branes","KKLT construction","generalized complex geometry","ten-dimensional stress-energy"],"falsifier":"Compute $\\langle W_{\\mathrm{GCG}}\\rangle - W$ at a point where the Kähler modulus is displaced from its supersymmetric minimum, using (A.100) in an explicit Calabi-Yau orientifold compactification with flux and a D7-brane stack; a nonzero value of $(2\\alpha-\\beta-\\xi)\\,\\mathrm{Re}\\,T\\, \\partial_T W_{\\mathrm{np}}/\\pi$ would make the ten-dimensional curvature (2.22) deviate from the four-dimensional F-term potential. Alternatively, repeat the derivation with the earlier Killing spinor equations that take $\\beta=0$: the authors themselves show those equations fail the Bianchi-consistency and vanishing-gaugino-mass conditions, so the exact match cannot survive.","tokens_in":42316,"feed_emoji":"🌌","tokens_out":11285,"duration_ms":102152,"temperature":0.7,"pith_summary":"This paper sets out to show that the ten-dimensional equations of type IIB supergravity, not just the four-dimensional effective action, describe the de Sitter vacuum of the KKLT construction. From the fermionic couplings of the D7-brane action, it derives the ten-dimensional stress-energy produced by gaugino condensation, adds the stress-energy of anti-D3-branes, and finds that the integrated Einstein equations require the four-dimensional Einstein-frame scalar curvature to take exactly the value given by the four-dimensional F-term potential of KKLT. The significance is that a non-supersymmetric vacuum can be described by a concrete ten-dimensional field configuration, so intrinsically ten-dimensional questions, such as consistency constraints from integrating over the compact space, become answerable in the same language. If the derivation holds, the four-dimensional potential of KKLT is not an isolated effective-theory result but a consequence of the ten-dimensional equations of motion.","feed_headline":"Ten-dimensional supergravity recovers the KKLT potential exactly","feed_subtitle":"D7-brane gaugino condensation and anti-D3-branes source the exact four-dimensional scalar curvature.","key_machinery":"The load-bearing identity is the master equation (2.22), obtained from the traced ten-dimensional Einstein equations combined with the integrated five-form Bianchi identity; it converts the four-dimensional curvature problem into integrals of ten-dimensional stress-energy. The gaugino-condensate stress-energy $T^{\\langle\\lambda\\lambda\\rangle}_{\\mu\\nu} = T^{\\lambda\\lambda}_{\\mu\\nu} + T^{\\lambda\\lambda\\lambda\\lambda}_{\\mu\\nu}$ carries the argument: the two-gaugino part comes from the coupling $S_{G\\lambda\\lambda} \\sim \\int \\sqrt{-g_4}\\, g_6\\, e^{\\varphi/2-2u}\\, G^{[2]}\\cdot\\Omega\\, \\bar\\lambda\\bar\\lambda\\, \\delta(0)$, with $G^{[2]} = G_3 + i\\, d_2 t$, and the four-gaugino part from $S_{\\lambda\\lambda\\lambda\\lambda} \\sim -\\int \\sqrt{-g_4}\\, g_6\\, e^{-4A+8u}\\, \\nu\\, \\Omega\\cdot\\Omega\\, |\\lambda\\lambda|^2 \\delta(0)$. Assigning the four-dimensional value of the gaugino bilinear $\\langle\\lambda\\lambda\\rangle$ is the only four-dimensional input. The corrected Killing spinor equations (A.93)--(A.95), fixed by consistency with the Bianchi identities and the vanishing D3-brane gaugino mass, yield $\\langle W_{\\mathrm{GCG}}\\rangle = W$, which turns the flux-side computation into the full F-term potential. Singular contributions to (2.22) cancel among the gaugino stress-energy, the flux kinetic term, and the internal curvature, leaving the finite potential (3.34).","core_discovery":"The central claim is that the master equation (2.22) equating the four-dimensional Einstein-frame Ricci scalar to integrated ten-dimensional stress-energy becomes exactly the four-dimensional Einstein equation with the F-term potential (3.34) once the gaugino-condensate stress-energy (3.33) and the anti-D3-brane stress-energy (4.1) are inserted. The gaugino stress-energy is built from a two-gaugino coupling to generalized flux $G^{[2]} = G_3 + i\\, d_2 t$ and a four-gaugino term; using the Killing spinor equations of the generalized complex geometry, the paper proves that on a supersymmetric configuration the generalized complex geometry superpotential equals the full superpotential, $\\langle W_{\\mathrm{GCG}}\\rangle = W_{\\mathrm{flux}} + W_{\\mathrm{np}}$. In the presence of anti-D3-branes, interactions mediated by Kaluza-Klein excitations of the warped throat are suppressed by powers of the warp factor, so only the breathing-mode interaction of the original four-dimensional analysis survives. The ten-dimensional equations then require $M_{\\mathrm{pl}}^2 R_4[g]$ to equal the four-dimensional value both in the supersymmetric AdS vacuum and, provided the off-shell extension of the superpotential equality holds, throughout the potential for the Kähler modulus.","pith_inferences":["A concrete next check would be to evaluate $\\langle W_{\\mathrm{GCG}}\\rangle - W$ at a displaced Kähler modulus in an explicit orientifold compactification; the paper's formula (A.100) reduces this to computing the coefficient $(2\\alpha-\\beta-\\xi)\\,\\mathrm{Re}\\,T\\, \\partial_T W_{\\mathrm{np}}/\\pi$ off-shell.","The same stress-energy method should extend to Euclidean D3-instanton contributions to $W_{\\mathrm{np}}$, since instantons and gaugino condensation enter the same nonperturbative superpotential; a testable prediction is that their ten-dimensional stress-energy obeys the same master equation.","The corrected Killing spinor equations may revise earlier ten-dimensional treatments of gaugino condensation in other compactifications, because the previous equations fail the Bianchi-consistency and gaugino-mass conditions identified here.","If the off-shell equality is confirmed, the master equation (2.22) becomes a direct ten-dimensional diagnostic for de Sitter stability: any proposed new source can be inserted into the right-hand side and checked against the required four-dimensional curvature."],"forward_implications":["The KKLT scalar potential can be regarded as a property of a ten-dimensional field configuration, so constraints obtained by integrating the ten-dimensional equations over the compact space are consistent with the four-dimensional effective theory by construction.","The corrected Killing spinor equations (A.93)--(A.95), which include a term proportional to $\\langle\\lambda\\lambda\\rangle$ absent from earlier versions, are uniquely selected by Bianchi compatibility and vanishing D3-brane gaugino mass; any ten-dimensional treatment of gaugino condensation should use them.","Interactions between anti-D3-branes and the D7-brane gaugino condensate mediated by Kaluza-Klein modes of the throat are suppressed by powers of the warp factor, so the breathing mode is the only non-negligible coupling channel, matching the original KKLT analysis.","The ten-dimensional computation reproduces not only the vacuum curvature but the full F-term potential for the Kähler modulus away from the supersymmetric minimum, provided the off-shell equality of superpotentials holds.","The singular localized-source contributions to the curvature equation cancel exactly, with the finite remainder equal to the scalar potential (3.34), so localized D7-brane sources do not invalidate the master equation."],"supporting_citations":[{"why":"Supplies the four-dimensional effective theory and the de Sitter/AdS scalar potential that the ten-dimensional computation must reproduce.","marker":"[1]"},{"why":"Provides the D7-brane gaugino-flux couplings and the localized G+ flux sourced by the condensate, which are promoted to G^{[2]} in the generalized complex geometry.","marker":"[23]"},{"why":"Supplies the generalized complex geometry framework, the superpotential W_GCG, and the Killing spinor equations that the paper corrects.","marker":"[21]"},{"why":"Derives the G− flux sourced by gaugino condensation and the D3-brane potential from fluxes, which underlie the stress-energy and divergence-cancellation computations.","marker":"[22]"},{"why":"Provides the Einstein-minus-Bianchi integrated equation equivalent to the master equation (2.22), after accounting for the breathing mode.","marker":"[12]"},{"why":"Gives the non-holomorphic gauge coupling function and the relation between the gaugino bilinear and the nonperturbative superpotential.","marker":"[32]"},{"why":"Derives the flux-induced gaugino soft terms on D7-D3 systems that generalize to the two-gaugino couplings used here.","marker":"[24]"},{"why":"A concurrent ten-dimensional treatment of Kähler-moduli stabilization whose Killing spinor equations are shown to be inconsistent; the paper compares and corrects them.","marker":"[20]"},{"why":"Earlier ten-dimensional approach that identified the singular G^{(0,3)} flux and the soft term; the paper checks its singular-flux result against (A.102).","marker":"[14]"}],"fun_headline_variants":["10D supergravity exactly reproduces KKLT potential","D7 gaugino stress-energy yields exact KKLT curvature","Ten-dimensional equations enforce KKLT de Sitter","From 10D stress-energy to KKLT de Sitter vacua"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The load-bearing premise is that the equality $\\langle W_{\\mathrm{GCG}}\\rangle = W$ between the generalized-complex-geometry superpotential and the full four-dimensional superpotential continues to hold away from the supersymmetric minimum; the paper states that this off-shell extension is plausible but not established.","fun_headline_variants_meta":{"raw":{"variants":["10D supergravity exactly reproduces KKLT potential","D7 gaugino stress-energy yields exact KKLT curvature","Ten-dimensional equations enforce KKLT de Sitter","From 10D stress-energy to KKLT de Sitter vacua"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000843,"raw_usage":{"total_tokens":3650,"prompt_tokens":904,"completion_tokens":2746,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":520,"completion_tokens_details":{"reasoning_tokens":2679}},"tokens_in":520,"tokens_out":2746,"duration_ms":21995,"temperature":1.0,"reasoning_tokens":2679,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-14T13:33:16.389263+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Compute $\\langle W_{\\mathrm{GCG}}\\rangle - W$ at a point where the Kähler modulus is displaced from its supersymmetric minimum, using (A.100) in an explicit Calabi-Yau orientifold compactification with flux and a D7-brane stack; a nonzero value of $(2\\alpha-\\beta-\\xi)\\,\\mathrm{Re}\\,T\\, \\partial_T W_{\\mathrm{np}}/\\pi$ would make the ten-dimensional curvature (2.22) deviate from the four-dimensional F-term potential. Alternatively, repeat the derivation with the earlier Killing spinor equations that take $\\beta=0$: the authors themselves show those equations fail the Bianchi-consistency and vanishing-gaugino-mass conditions, so the exact match cannot survive.","supporting_citations":[{"cited_title":"D-brane non-perturbative effects and geometric deformations","cited_arxiv_id":"1012.4018","evidence_quote":"Provides the D7-brane gaugino-flux couplings and the localized G+ flux sourced by the condensate, which are promoted to G^{[2]} in the generalized complex geometry."},{"cited_title":"From ten to four and back again: how to generalize the geometry","cited_arxiv_id":"0707.1038","evidence_quote":"Supplies the generalized complex geometry framework, the superpotential W_GCG, and the Killing spinor equations that the paper corrects."},{"cited_title":"Flux-induced SUSY-breaking soft terms on D7-D3 brane systems","cited_arxiv_id":"hep-th/0408036","evidence_quote":"Derives the flux-induced gaugino soft terms on D7-D3 systems that generalize to the two-gaugino couplings used here."},{"cited_title":"K\\\"ahler moduli stabilization from ten dimensions","cited_arxiv_id":"1908.01785","evidence_quote":"A concurrent ten-dimensional treatment of Kähler-moduli stabilization whose Killing spinor equations are shown to be inconsistent; the paper compares and corrects them."}],"review_version":1}