TWO-DIMENSIONAL YANG-MILLS THEORY AND MODULI SPACES OF HOLOMORPHIC DIFFERENTIALS

Seminara, Domenico; Szabo, R.; Griguolo, L.

doi:10.1016/j.physletb.2004.09.010

We describe and solve a double scaling limit of large N Yang–Mills theory on a two-dimensional torus. We find the exact strong-coupling expansion in this limit and describe its relation to the conventional Gross–Taylor series. The limit retains only the chiral sector of the full gauge theory and the coefficients of the expansion determine the asymptotic Hurwitz numbers, in the limit of infinite winding number, for simple branched coverings of a torus. These numbers are computed exactly from the gauge theory vacuum amplitude and shown to coincide with the volumes of the principal moduli spaces of holomorphic differentials. The string theory interpretation of the double scaling limit is also described.

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Titolo:	TWO-DIMENSIONAL YANG-MILLS THEORY AND MODULI SPACES OF HOLOMORPHIC DIFFERENTIALS
Autori di Ateneo:	SEMINARA, DOMENICO R. SZABO L. GRIGUOLO mostra contributor esterni nascondi contributor esterni
Autori:	SEMINARA, DOMENICO; R. SZABO; L. GRIGUOLO
Data di pubblicazione:	2004
Rivista:	PHYSICS LETTERS. SECTION B
Volume:	600
Pagina iniziale:	275
Pagina finale:	286
Abstract:	We describe and solve a double scaling limit of large N Yang–Mills theory on a two-dimensional torus. We find the exact strong-coupling expansion in this limit and describe its relation to the conventional Gross–Taylor series. The limit retains only the chiral sector of the full gauge theory and the coefficients of the expansion determine the asymptotic Hurwitz numbers, in the limit of infinite winding number, for simple branched coverings of a torus. These numbers are computed exactly from the gauge theory vacuum amplitude and shown to coincide with the volumes of the principal moduli spaces of holomorphic differentials. The string theory interpretation of the double scaling limit is also described.
Handle:	http://hdl.handle.net/2158/12597
Appare nelle tipologie:	1a - Articolo su rivista

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