Antisymmetric Wilson loops in N= 4 SYM: from exact results to non-planar corrections
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Fecha
2018-08
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Profesor/a Guía
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Idioma
en
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Springer Verlag
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Licencia CC
Licencia CC
Resumen
We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided. © 2018, The Author(s).
Notas
Indexación: Scopus.
A.C. and A.F. were supported by Fondecyt # 1160282. supported by the I.N.F.N., research initiative STEFI.
A.C. and A.F. were supported by Fondecyt # 1160282. supported by the I.N.F.N., research initiative STEFI.
Palabras clave
1/N Expansion, AdS-CFT Correspondence, Matrix Models, Wilson, ’t Hooft and Polyakov loops
Citación
Journal of High Energy Physics, 2018(8), art. no. 149.