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Quantum corrections to DGKT and the Weak Gravity Conjecture
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abstract
We study D4 brane domain walls in the scale-separated 4d $\mathcal{N}$=1 AdS$_4$ DGKT scenario. Classically, these are BPS and satisfy a no-force condition since their tension equals their charge. We show that this property is not stable against quantum corrections and that these increase the brane tension-to-charge ratio, rendering the branes self-attractive. As a result, DGKT seems to be in tension with the Weak Gravity Conjecture for membranes. The quantum effects we consider include non-perturbative gaugino condensation on the D4-brane worldvolume and Euclidean D2 brane instantons, which correct the tension-to-charge ratio because the DGKT construction breaks all parity symmetries. Similar results hold in other 4d $\mathcal{N}$=1 setups not protected by parity symmetries.
Forward citations
Cited by 3 Pith papers
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The Lorentzian Geometry of Tunneling in Global de Sitter at Late Time
A late-time Lorentzian Hamiltonian/WKB calculation of bubble nucleation in de Sitter reproduces the CDL decay exponent for all tunneling types, with gravity-dominated bubbles going on-shell at the parent horizon.
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Backtracking AdS flux vacua
Flux backtracking produces candidate brane-probe singularities for AdS flux vacua, including a new strongly coupled massive IIA singularity conjectured to be the brane picture of DGKT.
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Integer dual dimensions in scale-separated AdS$_3$ from massive IIA
Massive IIA flux compactifications on singular and Joyce G2 orbifolds yield scale-separated AdS3 vacua whose dual operator dimensions are integer up to parametrically small corrections.
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