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arXiv · 0802.3662

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

Yusuke Kimura·Sanjaye Ramgoolam
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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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Yusuke Kimura, Sanjaye Ramgoolam. 2008-03-31. Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills. https://doi.org/10.1088/1126-6708%2F2008%2F06%2F015

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