M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems

被引：0
作者：
Meng-Chwan Tan
机构：
[1] National University of Singapore,Department of Physics
来源：
Journal of High Energy Physics | / 2013卷
关键词：
Differential and Algebraic Geometry; Conformal and W Symmetry; M-Theory; String Duality;
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摘要：
In part I, we extend our analysis in [arXiv:0807.1107], and show that a mathematically conjectured geometric Langlands duality for complex surfaces in [1], and its generalizations — which relate some cohomology of the moduli space of certain (“ramified”) G-instantons to the integrable representations of the Langlands dual of certain affine (sub) G-algebras, where G is any compact Lie group — can be derived, purely physically, from the principle that the spacetime BPS spectra of string-dual M-theory compactifications ought to be equivalent.
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