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Exact results in a N = 2 superconformal gauge theory at strong coupling

Articolo
Data di Pubblicazione:
2021
Abstract:
We consider the N= 2 SYM theory with gauge group SU(N) and a matter content consisting of one multiplet in the symmetric and one in the anti-symmetric representation. This conformal theory admits a large-N ’t Hooft expansion and is dual to a particular orientifold of AdS5 × S5. We analyze this gauge theory relying on the matrix model provided by localization à la Pestun. Even though this matrix model has very non-trivial interactions, by exploiting the full Lie algebra approach to the matrix integration, we show that a large class of observables can be expressed in a closed form in terms of an infinite matrix depending on the ’t Hooft coupling λ. These exact expressions can be used to generate the perturbative expansions at high orders in a very efficient way, and also to study analytically the leading behavior at strong coupling. We successfully compare these predictions to a direct Monte Carlo numerical evaluation of the matrix integral and to the Padé resummations derived from very long perturbative series, that turn out to be extremely stable beyond the convergence disk |λ| < π2 of the latter.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
1/N Expansion, Extended Supersymmetry, Supersymmetric Gauge Theory, Matrix Models
Elenco autori:
Matteo Beccaria, Marco Billo', Marialuisa Frau, Alberto Lerda, Alessandro Pini
Autori di Ateneo:
BILLO' Marco
FRAU Marialuisa
Link alla scheda completa:
https://iris.unito.it/handle/2318/1840983
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/1840983/938741/Beccaria2021_Article_ExactResultsInANMathcalN2Super.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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URL

https://link.springer.com/article/10.1007/JHEP07(2021)185
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