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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 11 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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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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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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