We study chiral trace relations in N = 2 supersymmetric theories. Applying localization formulae for chiral observables, we derive closed chiral trace relations relating the vacuum expectation values of chiral ring elements. In this setting, we discuss how the Omega-background breaks the polynomial nature of such relations. These results are interpreted in the light of AGT duality, thus making contact with the integrable structure of conformal field theories on Riemann surfaces.

Chiral trace relations in Ω-deformed $\mathscr{N}$ = 2 theories / Fachechi, A; Macorini, G; Beccaria, M. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 965:1(2018). (Intervento presentato al convegno The XXV International Conference on Integrable Systems and Quantum Symmetries (ISQS-25) tenutosi a Praga (Repubblica Ceca)) [10.1088/1742-6596/965/1/012013].

Chiral trace relations in Ω-deformed $\mathscr{N}$ = 2 theories

Fachechi, A
;
2018

Abstract

We study chiral trace relations in N = 2 supersymmetric theories. Applying localization formulae for chiral observables, we derive closed chiral trace relations relating the vacuum expectation values of chiral ring elements. In this setting, we discuss how the Omega-background breaks the polynomial nature of such relations. These results are interpreted in the light of AGT duality, thus making contact with the integrable structure of conformal field theories on Riemann surfaces.
2018
The XXV International Conference on Integrable Systems and Quantum Symmetries (ISQS-25)
extended supersymmetry; nonperturbative effects; supersymmetric effective theories
04 Pubblicazione in atti di convegno::04c Atto di convegno in rivista
Chiral trace relations in Ω-deformed $\mathscr{N}$ = 2 theories / Fachechi, A; Macorini, G; Beccaria, M. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 965:1(2018). (Intervento presentato al convegno The XXV International Conference on Integrable Systems and Quantum Symmetries (ISQS-25) tenutosi a Praga (Repubblica Ceca)) [10.1088/1742-6596/965/1/012013].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1709981
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