The large-N partition function for non-parity-invariant Chern-Simons-matter theories

Abstract

We extend the Fermi gas approach to a class of ABJM-like necklace quiver theories without parity invariance. The resulting partition function on $S^3$ retains the form of an Airy function, but now includes a phase that scales as $Nk$ in the large-$N$ limit where $k$ is an overall Chern-Simons level. We demonstrate the presence of this phase both analytically and numerically in the case of a three node quiver.

20 pages, 2 figures

References in corpus (6)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Summing Up All Genus Free Energy of ABJM Matrix Model
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity
• Instanton Effects in Orbifold ABJM Theory

Cited by in corpus (1)

• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA