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Orthosymplectic Chern-Simons matrix model and chirality projection

2016/01/31 by Sanefumi Moriyama, Takao Suyama
Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Black Holes and Theoretical Physics #Chern–Simons theory #Diagonal #Diagonal matrix #Geometry #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Projection (relational algebra) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1007/jhep04(2016)132

20 pages, 1 figure, v2: minor changes

arxiv created 2016/02/05 · openalex publication_date 2016/04/01 · arxiv updated 2016/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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