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Higher AGT correspondences, $\mathcal{W}$-algebras, and higher quantum geometric Langlands duality from M-theory

Higher AGT correspondences, $\mathcal{W}$-algebras, and higher quantum geometric Langlands duality from M-theory

We further explore the implications of our framework in [arXiv:1301.1977, arXiv:1309.4775], and physically derive, from the principle that the spacetime BPS spectra of string-dual M-theory compactifications ought to be equivalent, (i) a 5d AGT correspondence for any compact Lie group, (ii) a 5d and 6d AGT correspondence on ALE space …