Orthosymplectic Chern-Simons Matrix Model and Chirality Projection

Abstract

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.

20 pages, 1 figure, v2: minor changes

References in corpus (17)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Exact results on ABJ theory and the refined topological string
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• Instanton Effects in Orbifold ABJM Theory
• Instanton Effects in Orientifold ABJM Theory
• TBA-like integral equations from quantized mirror curves
• Exact relations between M2-brane theories with and without Orientifolds
• Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas
• Exact Instanton Expansion of ABJM Partition Function
• Orientifolding of the ABJ Fermi gas
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• ABJ Wilson loops and Seiberg Duality
• Probing non-perturbative effects in M-theory on orientifolds

Cited by in corpus (18)

• Exact relations between M2-brane theories with and without Orientifolds
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• Orientifold ABJM Matrix Model: Chiral Projections and Worldsheet Instantons
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• Dualities in ABJM Matrix Model from Closed String Viewpoint
• ABJ Quadrality
• Giambelli Identity in Super Chern-Simons Matrix Model
• Exact results for ABJ Wilson loops and open-closed duality
• Two-Point Functions in ABJM Matrix Model
• Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
• Brane Transitions from Exceptional Groups
• Duality Cascades and Affine Weyl Groups
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Duality Cascades and Parallelotopes
• Notes on Planar Resolvents of Chern-Simons-matter Matrix Models
• Topological phase, spin Chern-Simons theory and level rank duality on lens space
• Quantum Mirror Map for Del Pezzo Geometries