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Journal of High Energy Physics Volume 2008 JHEP06(2008) Create an alert RSS this journal

Yusuke Kimura and Sanjaye Ramgoolam JHEP06(2008)015 doi:10.1088/1126-6708/2008/06/015

Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills

Yusuke Kimura and Sanjaye Ramgoolam

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Abstract References Cited By
We give a description of the complete 1/N expansion of SU(N) 2D Yang Mills theory in terms of the moduli space of holomorphic maps from non-singular worldsheets. This is related to the Gross-Taylor coupled 1/N expansion through a map from Brauer algebras to symmetric groups. These results point to an equality between Euler characters of moduli spaces of holomorphic maps from non-singular worldsheets with a target Riemann surface equipped with markings on the one hand and Euler characters of another moduli space involving worldsheets with double points (nodes).

Keywords

Topological Strings

AdS-CFT and dS-CFT Correspondence

Matrix Models

 

E-print Number: 0802.3662

Cited: by |

Refers: to

PACS

11.30.Ly Other internal and higher symmetries

11.15.Pg Expansions for large numbers of components (e.g., 1/Nc expansions)

11.25.-w Strings and branes

11.30.Rd Chiral symmetries

Subjects

Particle physics and field theory

Dates

Issue 06 (June 2008)

Received 31 March 2008, accepted for publication 19 May 2008

Published 4 June 2008



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