Large N expansion of q-deformed two-dimensional Yang-Mills theory and Hecke algebras
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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). 317 - 355. ISSN 0010-3616
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Official URL: http://dx.doi.org/10.1007/s00220-007-0232-4
Abstract
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.
| Item Type: | Article |
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| Additional Information: | The original publication is available at http://www.springerlink.com |
| 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 |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| Related URLs: | |
| ID Code: | 72386 |
| Deposited By: | Symplectic Elements |
| Deposited On: | 12 Jan 2012 13:18 |
| Last Modified: | 08 Jun 2013 14:54 |
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