3 problems

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The defect-group exact sequence conjecture for class $\mathcal{S}$ theories
Let $\Sigma_{g,p}$ be a genus- $g$ surface with $p$ punctures, let $\Gamma$ be the charge lattice, and let…
Conjectureopencharge-lattices class-s-theories defect-groupsarXiv posted 2 days ago
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The charge-lattice completeness conjecture
Let a consistent theory of quantum gravity have a gauge-charge lattice, and let states be charged under this gauge symmetry. Charge-lattice completeness conjecture. A consistent th…
Conjectureopencharge-lattices gauge-symmetry quantum-gravityarXiv posted 2 days ago
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Quadratic-refinement conjecture for four-dimensional BPS states
In four-dimensional ${\cal N}=2$ gauge theory, let $R$ be the R-charge, $j_3$ the spatial rotation generator, and let the BPS states carry charges in a charge lattice equipped with…
Conjectureopencharge-lattices supersymmetric-gauge-theory wall-crossingarXiv posted 2 days ago

The defect-group exact sequence conjecture for class S\mathcal{S}S theories