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EXACT ABJM PARTITION FUNCTION FROM TBA

PAVEL PUTROV

Département de Physique Théorique et Section de Mathématiques, Université de Genève, Genève, CH-1211, Switzerland

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and

MASAHITO YAMAZAKI

Princeton Center for Theoretical Science, Princeton University, NJ 08544, USA

Corresponding author

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https://doi.org/10.1142/S0217732312502008Cited by:69 (Source: Crossref)

Abstract

We report on the exact computation of the S³ partition function of U(N)_k × U(N)_-k ABJM theory for k = 1, N = 1, …, 19. The result is a polynomial in π^-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.

Keywords:

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