Asymptotically free = 2 theories and irregular conformal blocks

By D. Gaiotto. 2009

326 citations recorded by the source corpus.

A surprising connection between N = 2 gauge theory instanton partition functions and conformal blocks has been recently proposed. We illustrate through simple examples the generalization to asymptotically free N = 2 gauge theories.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dce27544c154e2bd391c7c65f4cf2fe5dbdd0efb

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In Nuclear and High Energy Physics

Citations in the corpus

General Argyres-Douglas theory (2012, background): “The AGT conjecture for asymptotical free theories constructed from A1 theory is also studied [60] and it is also interesting to extend that construction to all the asymptotical free theories constructed in this paper.”
S-duality and 2d topological QFT (2009, background): “of the 4d theory. A striking correspondence between the Nekrasov’s instanton partition function [4] of the 4d theory and Liouville ﬁeld theory on Σ has been conjectured in [5] and further explored in [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]. Relations to string/M theory have been discussed in [1”
How instanton combinatorics solves Painlevé VI, V and IIIs (2013, background): “ling process this scale should transform in the appropriate way: N f !1, t N f !0, t N f 1 = N f t N f xed [16, 52]. The corresponding Nekrasov functions are related to irregular conformal blocks [25, 26, 39]. Conformal blocks relevant to Painleve VI equation [27] are characterized by the central ”
Gauge theory loop operators and Liouville theory (2009, methodology): “(14)The correspondence between the instanton partition in gauge theory and Liouville theory has been extended to a class of asymptotically free theories in [35].”
Vortex Counting and Lagrangian 3-Manifolds (2010, unknown): “perconformal SU(2) theory. However, we should emphasize that all constructions and relations can be extended to non-conformal theories, with dierent matter contents, by using (e.g.) the formalism of [57]. { 56 { The momenta iof the four insertions V iare related to bare fundamental masses m 1;m 2 a”
Cherednik algebras, W-algebras and the equivariant cohomology of the moduli space of instantons on A2 (2012, unknown): “gebra of Gon the equivariant intersection cohomology of the moduli space of GL-instantons on R4 satisfying some extra properties (relating the fundamental class and the Whittaker vector), see [7] and [22]. Here G,GL are a pair of complex reductive groups which are dual to each other in the sense of ”