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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.