Large N Expansion of q-Deformed Two-Dimensional Yang-Mills Theory and Hecke Algebras

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dc.creatorde Haro, Sebastian
dc.creatorRamgoolam, Sanjaye
dc.creatorTorrielli, Alessandro
dc.date2006-03-07
dc.date2006-09-22
dc.date.accessioned2026-07-07T10:46:09Z
dc.date.available2026-07-07T10:46:09Z
dc.descriptionWe 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.
dc.description38 pages, Latex, 1 figure, minor typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0603056
dc.identifierhttp://arxiv.org/abs/hep-th/0603056
dc.identifierCommun.Math.Phys.273:317-355,2007
dc.identifierdoi:10.1007/s00220-007-0232-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183139
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleLarge N Expansion of q-Deformed Two-Dimensional Yang-Mills Theory and Hecke Algebras
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