Orthosymplectic Chern-Simons Matrix Model and Chirality Projection

Sanefumi Moriyama; Takao Suyama

Orthosymplectic Chern-Simons Matrix Model and Chirality Projection

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arxiv 1601.03846 v2 pith:XOAPQM4L submitted 2016-01-15 hep-th

Sanefumi Moriyama , Takao Suyama This is my paper · ORCID

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keywords matrixchern-simonsdensityorthosymplecticprojectiontheoryabjmbranes

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Recently it was found that the density matrix for a certain orthosymplectic Chern-Simons theory matches with that for the ABJM theory with the odd chiral projection. We prove this fact for a general case with the inclusion of fractional branes. We also identify the first few diagonal Gopakumar-Vafa invariants for the grand potential constructed from the chirally projected density matrix.

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For affine D and E quiver Chern-Simons theories, duality cascades terminate uniquely only under large-rank restrictions because the associated polytope tiles the parameter space with gaps.

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