Modular anomaly equations in N = 2* theories and their large-N limit

M. Billó, M. Frau, F. Fucito, A. Lerda, J. F. Morales, R. Poghossian, D. Ricci Pacifici

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

We propose a modular anomaly equation for the prepotential of the N =2* super Yang-Mills theory on ℝ4 with gauge group U(N) in the presence of an Ω-background. We then study the behavior of the prepotential in a large-N limit, in which N goes to infinity with the gauge coupling constant kept fixed. In this regime instantons are not suppressed. We focus on two representative choices of gauge theory vacua, where the vacuum expectation values of the scalar fields are distributed either homogeneously or according to the Wigner semi-circle law. In both cases we derive an all-instanton exact formula for the prepotential. As an application, we show that the gauge theory partition function on S4 at large N localizes around a Wigner distribution for the vacuum expectation values leading to a very simple expression in which the instanton contribution becomes independent of the coupling constant.

Lingua originaleInglese
Numero di articolo131
RivistaJournal of High Energy Physics
Volume2014
Numero di pubblicazione10
DOI
Stato di pubblicazionePubblicato - ott 2014
Pubblicato esternamente

Fingerprint

Entra nei temi di ricerca di 'Modular anomaly equations in N = 2* theories and their large-N limit'. Insieme formano una fingerprint unica.

Cita questo