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- W3001483164 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 -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." @default.
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- W3001483164 date "2008-09-16" @default.
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- W3001483164 title "Gauging spacetime symmetries on the worldsheet and the geometric Langlands program — II" @default.
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