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arxiv: 1207.5066 · v3 · submitted 2012-07-20 · ✦ hep-th

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Exact ABJM Partition Function from TBA

Pavel Putrov , Masahito Yamazaki
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classification ✦ hep-th
keywords functionpartitionabjmexactapplicationcoefficientcoefficientscomputation
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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.

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  1. Bootstrapping ABJM theory

    hep-th 2026-02 unverdicted novelty 7.0

    A bootstrap approach applied to ABJM theory yields analytic derivations of instanton corrections to the free energy and to 1/2 and 1/6 BPS Wilson loops, confirming relations previously known only conjecturally.