Please use this identifier to cite or link to this item: https://doi.org/10.1088/1126-6708/2008/03/033
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dc.titleGauging spacetime symmetries on the worldsheet and the geometric Langlands program
dc.contributor.authorTan, M.-C.
dc.date.accessioned2014-10-16T09:26:26Z
dc.date.available2014-10-16T09:26:26Z
dc.date.issued2008-03-01
dc.identifier.citationTan, M.-C. (2008-03-01). Gauging spacetime symmetries on the worldsheet and the geometric Langlands program. Journal of High Energy Physics 2008 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1126-6708/2008/03/033
dc.identifier.issn11266708
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96692
dc.description.abstractWe study the two-dimensional twisted (0,2) sigma-model on various smooth complex flag manifolds G/B, and explore its relevance to the geometric Langlands program. We find that an equivalence - at the level of the holomorphic chiral algebra - between a bosonic string on G/B and a B-gauged version of itself on G, will imply an isomorphism of classical -algebras and a level relation which underlie a geometric Langlands correspondence for G = SL(N,C). This furnishes an alternative physical interpretation of the geometric Langlands correspondence for G = SL(N,C), to that demonstrated earlier by Kapustin and Witten via an electric-magnetic duality of four-dimensional gauge theory. Likewise, the Hecke operators and Hecke eigensheaves will have an alternative physical interpretation in terms of the correlation functions of local operators in the holomorphic chiral algebra of a quasi-topological sigma-model without boundaries. A forthcoming paper will investigate the interpretation of a ''quantum'' geometric Langlands correspondence for G = SL(N,C) in a similar setting, albeit with fluxes of the sigma-model moduli which induce a ''quantum'' deformation of the relevant classical algebras turned on.
dc.sourceScopus
dc.subjectBRST quantization
dc.subjectConformal and W symmetry
dc.subjectDifferential and algebraic geometry
dc.subjectTopological field theories
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1088/1126-6708/2008/03/033
dc.description.sourcetitleJournal of High Energy Physics
dc.description.volume2008
dc.description.issue3
dc.description.page-
dc.identifier.isiut000254765800043
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