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TMF, 2018, Volume 196, Number 3, Pages 390–403 (Mi tmf9485)  

Chiral trace relations in $\mathcal N=2^*$ supersymmetric gauge theories

A. Fachechiab, G. Macoriniab, M. Beccariaab

a Dipartimento di Matematica e Fisica, Università del Salento, Lecce, Italy
b Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Lecce, Italy

Abstract: We analyze the chiral ring in $\Omega$-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.

Keywords: supersymmetric gauge theory, nonperturbative effect, integrability.

DOI: https://doi.org/10.4213/tmf9485

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English version:
Theoretical and Mathematical Physics, 2018, 196:3, 1282–1293

Bibliographic databases:

Received: 12.10.2017
Revised: 22.12.2017

Citation: A. Fachechi, G. Macorini, M. Beccaria, “Chiral trace relations in $\mathcal N=2^*$ supersymmetric gauge theories”, TMF, 196:3 (2018), 390–403; Theoret. and Math. Phys., 196:3 (2018), 1282–1293

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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