Please use this identifier to cite or link to this item: https://doi.org/10.1088/1126-6708/2008/09/074
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dc.titleGauging spacetime symmetries on the worldsheet and the geometric Langlands program - II
dc.contributor.authorTan, M.-C.
dc.date.accessioned2014-10-16T09:26:26Z
dc.date.available2014-10-16T09:26:26Z
dc.date.issued2008-09-01
dc.identifier.citationTan, M.-C. (2008-09-01). Gauging spacetime symmetries on the worldsheet and the geometric Langlands program - II. Journal of High Energy Physics 2008 (9) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1126-6708/2008/09/074
dc.identifier.issn11266708
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96693
dc.description.abstractWe generalise the analysis carried out in [1], and find that our previous results can be extended beyond the case of SL (N,C). In particular, we show that an equivalence - at the level of the holomorphic chiral algebra - between a bosonic string on a smooth coset manifold G/B and a B-gauged version of itself on G, will imply an isomorphism of classical W-algebras and a level relation which underlie a geometric Langlands correspondence for the simply-laced, complex ADE-groups. In addition, as opposed to line operators and branes of an open topological sigma-model, the Hecke operators and Hecke eigensheaves, can, instead, be physically interpreted in terms of the correlation functions of local operators in the holomorphic chiral algebra of a closed, quasi-topological sigma-model. Our present results thus serve as an alternative physical interpretation - to that of an electric-magnetic duality of four-dimensional gauge theory demonstrated earlier by Kapustin and Witten in [2] - of the geometric Langlands correspondence for complex ADE-groups. The cases with tame and mild ''ramifications'' are also discussed. © 2008 SISSA.
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.doi10.1088/1126-6708/2008/09/074
dc.description.sourcetitleJournal of High Energy Physics
dc.description.volume2008
dc.description.issue9
dc.description.page-
dc.identifier.isiut000259699700063
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