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N=1 Superpotentials from Multi-Instanton Calculus

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arxiv hep-th/0510173 v2 pith:CVJ75CAC submitted 2005-10-20 hep-th

classification hep-th
keywords computemulti-instantonadjointagreementcalculuscheckchiralcomputation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper we compute gaugino and scalar condensates in N=1 supersymmetric gauge theories with and without massive adjoint matter, using localization formulae over the multi--instanton moduli space. Furthermore we compute the chiral ring relations among the correlators of the $N=1^*$ theory and check this result against the multi-instanton computation finding agreement.

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  1. Blowing-up the edge: connection formulae and stability chart of the Lam\'e equation

    hep-th 2025-07 conditional novelty 7.0 of 10

    The paper derives the resummed Nekrasov-Shatashvili free energy from blow-up equations and uses it to compute the band-gap structure, connection formulas, and stability chart of the Lamé equation.

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