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Ramond sector of super Liouville theory from instantons on an ALE space

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arxiv 1110.2176 v1 pith:WH4ZAOFV submitted 2011-10-10 hep-th

Yuto Ito This is my paper · ORCID
classification hep-th
keywords ramondsectortheoriesgaugeholonomiesliouvillespacesuper
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We propose that N=2 U(2) gauge theories on the A_1 ALE space, with asymptotic holonomies not in SU(2), correspond to the Ramond sector of super Liouville theory. As evidence, we show that the instanton partition functions for the theories with and without a fundamental hypermultiplet, computed with such holonomies, coincide with the norms or the inner products of the Whittaker vectors in the Ramond sector. This correspondence suggests that S-duality of U(2) gauge theories interchanges the sectors with different boundary conditions.

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  1. Kac-Moody algebras from M5-giants

    hep-th 2025-08 conditional novelty 6.0 of 10

    The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.

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