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

James Liu (Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI, 48109-1040, USA) ; Xiuyuan Zhang (Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI, 48109-1040, USA)

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.

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Published on:
01 December 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 12
Pages 1-19
DOI:
https://doi.org/10.1007/JHEP12(2020)007
arXiv:
2008.09642
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: