Orientifold ABJM Matrix Model: Chiral Projections and Worldsheet Instantons

Abstract

We study the partition function of the orientifold ABJM theory, which is a superconformal Chern-Simons theory associated with the orthosymplectic supergroup. We find that the partition function associated with any orthosymplectic supergroup can be realized as the partition function of a Fermi gas system whose density matrix is identical to that associated with the corresponding unitary supergroup with a projection to the even or odd chirality. Furthermore we propose an identity which gives directly all of the Gopakumar-Vafa invariants for the worldsheet instanton effects in the chirally projected theories.

arXiv comment20 pages, 2 figures; v2: minor changes; v3: typos corrected, a reference added

References in corpus (33)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Fivebranes, Membranes and Non-Perturbative String Theory
• Fractional M2-branes
• From weak to strong coupling in ABJM theory
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• ABJM theory as a Fermi gas
• Non-perturbative effects and the refined topological string
• Nonperturbative aspects of ABJM theory
• Exact Results in ABJM Theory from Topological Strings
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Instanton Effects in ABJM Theory from Fermi Gas Approach
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Instanton Bound States in ABJM Theory
• Membrane instantons from a semiclassical TBA
• Exact Results on the ABJM Fermi Gas
• Exact results on ABJ theory and the refined topological string
• Three-sphere free energy for classical gauge groups
• Direct derivation of "mirror" ABJ partition function
• ABJ Fractional Brane from ABJM Wilson Loop
• Exact ABJM Partition Function from TBA
• ABJM Wilson Loops in Arbitrary Representations
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• Instanton Effects in Orbifold ABJM Theory
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• The ABCDEF's of Matrix Models for Supersymmetric Chern-Simons Theories
• Instanton Effects in Orientifold ABJM Theory
• Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas
• Orientifolding of the ABJ Fermi gas
• Orthosymplectic Chern-Simons Matrix Model and Chirality Projection
• Probing non-perturbative effects in M-theory on orientifolds

Cited by in corpus (21)

• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• Giambelli Identity in Super Chern-Simons Matrix Model
• ABJ Quadrality
• Spectral Theories and Topological Strings on del Pezzo Geometries
• Dualities in ABJM Matrix Model from Closed String Viewpoint
• Hanany-Witten Transition in Quantum Curves
• Exact results for ABJ Wilson loops and open-closed duality
• Fermi gas approach to general rank theories and quantum curves
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
• Two-Point Functions in ABJM Matrix Model
• Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• 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
• Topological phase, spin Chern-Simons theory and level rank duality on lens space