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

Fuente: arXiv
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Main Authors: Liu, James T., Zhang, Xiuyuan
Format: Preprint
Published: 2020
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author Liu, James T.
Zhang, Xiuyuan
author_facet Liu, James T.
Zhang, Xiuyuan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2008_09642
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle The large-N partition function for non-parity-invariant Chern-Simons-matter theories
Liu, James T.
Zhang, Xiuyuan
High Energy Physics - Theory
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.
title The large-N partition function for non-parity-invariant Chern-Simons-matter theories
topic High Energy Physics - Theory
url https://arxiv.org/abs/2008.09642