Exact ABJM Partition Function from TBA
High Energy Physics - Theory
2012-10-31 v3
Abstract
We report on the exact computation of the S^3 partition function of U(N)_k\times U(N)_{-k} ABJM theory for k=1, N=1,...,19. The result is a polynomial in \pi^{-1} with rational coefficients. As an application of our results we numerically determine the coefficient of the membrane 1-instanton correction to the partition function.
Cite
@article{arxiv.1207.5066,
title = {Exact ABJM Partition Function from TBA},
author = {Pavel Putrov and Masahito Yamazaki},
journal= {arXiv preprint arXiv:1207.5066},
year = {2012}
}
Comments
8 pages, 2 figures. v3: introduction expanded, section about numerical applications added