Large N expansion of q-deformed two-dimensional Yang-Mills theory and Hecke algebras
de Haro, S, Ramgoolam, S and Torrielli, A (2007) Large N expansion of q-deformed two-dimensional Yang-Mills theory and Hecke algebras COMMUNICATIONS IN MATHEMATICAL PHYSICS, 273 (2). pp. 317-355.
dHRT.pdf - Accepted version Manuscript
We derive the q-deformation of the chiral Gross-Taylor holomorphic string large N expansion of two dimensional SU(N) Yang-Mills theory. Delta functions on symmetric group algebras are replaced by the corresponding objects (canonical trace functions) for Hecke algebras. The role of the Schur-Weyl duality between unitary groups and symmetric groups is now played by q-deformed Schur-Weyl duality of quantum groups. The appearance of Euler characters of configuration spaces of Riemann surfaces in the expansion persists. We discuss the geometrical meaning of these formulae.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||1 July 2007|
|Identification Number :||https://doi.org/10.1007/s00220-007-0232-4|
|Uncontrolled Keywords :||Science & Technology, Physical Sciences, Physics, Mathematical, Physics, CHERN-SIMONS THEORY, TOPOLOGICAL FIELD-THEORIES, LATTICE GAUGE-THEORY, STRING THEORY, QUANTUM GROUP, WILSON LOOPS, Q-ANALOG, QCD, REPRESENTATIONS, INVARIANTS|
|Related URLs :|
|Additional Information :||The original publication is available at http://www.springerlink.com|
|Depositing User :||Symplectic Elements|
|Date Deposited :||12 Jan 2012 13:18|
|Last Modified :||23 Sep 2013 18:57|
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