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  1. Pubblicazioni

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

Articolo
Data di Pubblicazione:
2014
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.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
1/N Expansion; D-branes; Extended Supersymmetry; Supersymmetric gauge theory
Elenco autori:
M. Billo; M. Frau; F. Fucito; A. Lerda; J. F. Morales; R. Poghossian; D. Ricci Pacifici
Autori di Ateneo:
BILLO' Marco
FRAU Marialuisa
Link alla scheda completa:
https://iris.unito.it/handle/2318/157789
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/157789/28403/art%253A10.1007%252FJHEP10%25282014%2529131.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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