Exact ABJM Partition Function from TBA

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.

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