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Monopoles, Duality, and String Theory
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Dirac showed that the existence of magnetic monopoles would imply quantization of electric charge. I discuss the converse, and propose two `principles of completeness' which I illustrate with various examples.
Forward citations
Cited by 19 Pith papers
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de Sitter Vacua & pUniverses
The p-Schwinger model on de Sitter space supports p distinct de Sitter-invariant vacua that are Hadamard, and coupling a multi-flavor version to gravity yields a semiclassical de Sitter saddle at large N_f.
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The absence of global anomalies of CP symmetry
Gauged CP symmetry in four dimensions introduces no new global anomalies for connected, simply-connected gauge groups; the standard model matter content is anomaly-free under a gauged CP.
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Global anomalies in $6D$ gauged supergravities
New anomaly-free six-dimensional R-symmetry gauged supergravities are presented, and global anomaly freedom is shown to impose the constraints n_V ≡ 8 mod 12 (U(1)_R) and n_V = 60 (Sp(1)_R).
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Dyon Loops and Abelian Instantons
Abelian instantons generated by dyon loops carry full instanton charge in the Georgi-Glashow model and form a continuous deformation of small BPST instantons.
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Cobordism Utopia: U-Dualities, Bordisms, and the Swampland
For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.
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Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture
All infinite distance limits in 5d N=1 supergravity vector moduli space are either unique-vector limits (6d decompactification) or unique-tensor limits (emergent string), under a weak BPS completeness assumption.
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Higher Gauging and Non-invertible Condensation Defects
Higher gauging of 1-form symmetries on surfaces in 2+1d QFT yields condensation defects whose fusion rules involve 1+1d TQFTs and realizes every 0-form symmetry in TQFTs.
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Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space fact...
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Non-invertible symmetries in the axiverse, and the imaginary wormholes
Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.
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On BPS Branes
The paper defines cones C_BPS-B and C_BPS-BB for BPS branes in supergravity and conjectures that states in C_BPS-BB are realized as BPS states with C_BPS-B as their electric-magnetic dual when moduli-independent.
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String probes, simple currents, and the no global symmetries conjecture
Chiral simple current extensions on the worldsheet reproduce and generalize obstructions to gauging center one-form symmetries in 6d and 8d string compactifications while clarifying BPS particle requirements upon circ...
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Non-supersymmetric branes and discrete topological terms
A direct computation from the tentative NS5-brane spectrum gives the opposite Z3 topological term (1/3 vs 2/3) from Tachikawa-Zhang, so the spectrum or the inflow interpretation must change.
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Machine Learning the 6d Supergravity Landscape
An autoencoder and two neural classifiers, trained only on anomaly Gram matrices, provide automated clustering, outlier detection, and consistency predictions for millions of 6d supergravity building blocks.
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Relative Quantum Gravity: Localized Gravity and the Swampland
Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.
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Anomaly Inflow and Gauge Group Topology in the 10d Sugimoto String Theory
Anomaly inflow on Sugimoto model branes supports the conclusion that the 10d gauge group is Sp(16)/Z2, and the same inflow matching rules out most alternative chiral spectra.
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How to Falsify String Theory at a Collider
Detection of an isolated SU(2)_L n-plet with n≥5 would falsify known string constructions; current LHC limits exclude such states up to 400-735 GeV depending on n.
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Black $p$-Branes in Heterotic String Theory
Numerical black brane solutions for the 0-brane and 4-brane of heterotic string theory are constructed, connecting linear-dilaton throats to asymptotically flat space, with the known 6-brane solution reproduced as a check.
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New analytic solutions of non-SUSY black branes in $10$-D heterotic supergravity and the phase transition
New exact non-SUSY black brane solutions in 10D heterotic supergravity with two gauge charges show a spontaneous symmetry breaking and dynamical instability at low temperature that predicts additional black hole solutions.
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Exploring String Theory Solutions: Black hole thermodynamics with $\alpha'$ corrections and type II compactifications
A doctoral thesis restating published results on α'-corrected black holes in heterotic string theory and on type II flux compactifications, with no new standalone results.
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