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

2008/02/29 by Yusuke Kimura, Sanjaye Ramgoolam · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/06/015

published as JHEP 0806:015,2008 · 17 pages + 8 (Appendices) ; 4 figures

arxiv created 2008/03/31 · openalex publication_date 2008/06/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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).

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