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Chiral Trace Relations in \(\mathcal{N}=2^*\) Supersymmetric Gauge Theories


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Abstract

We analyze the chiral ring in Ω-deformed \(\mathcal{N}=2^*\) supersymmetric gauge theories. Applying localization techniques, we derive closed identities for the vacuum expectation values of chiral trace operators. In the SU(2) case, we provide an AGT framework to identify chiral trace operators and the system of local integrals of motion in the related two-dimensional conformal field theory. In this setup, we predict some universal terms appearing in chiral trace identities.

About the authors

A. Fachechi

Dipartimento di Matematica e Fisica; Instituto Nazionale di Fisica Nucleare

Author for correspondence.
Email: alberto.fachechi@le.infn.it
Italy, Lecce; Lecce

G. Macorini

Dipartimento di Matematica e Fisica; Instituto Nazionale di Fisica Nucleare

Email: alberto.fachechi@le.infn.it
Italy, Lecce; Lecce

M. Beccaria

Dipartimento di Matematica e Fisica; Instituto Nazionale di Fisica Nucleare

Email: alberto.fachechi@le.infn.it
Italy, Lecce; Lecce

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