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Title: Gauging spacetime symmetries on the worldsheet and the geometric Langlands program - II
Authors: Tan, M.-C. 
Keywords: BRST quantization
Conformal and W symmetry
Differential and algebraic geometry
Topological field theories
Issue Date: 1-Sep-2008
Citation: Tan, 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.
Abstract: We 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.
Source Title: Journal of High Energy Physics
ISSN: 11266708
DOI: 10.1088/1126-6708/2008/09/074
Appears in Collections:Staff Publications

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