On AGT conjecture
By V. Fateev, A. Litvinov. 2009
165 citations recorded by the source corpus.
In these notes we consider relation between conformal blocks and the Nekrasov partition function of certain $ \mathcal{N} = 2 $ SYM theories proposed recently by Alday, Gaiotto and Tachikawa. We concentrate on $ \mathcal{N} = {2^*} $ theory, which is the simplest example of AGT relation.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/97f22af4a6fdd32d6cf10a5a8c04ecd3e81881b7
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In Geometry and Topology
In Nuclear and High Energy Physics
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Citations in the corpus
- Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial (2010, methodology): “Note that this degenerate version of the AGT conjecture is proved by the method of Zamolodchikov-type recursive formula in the papers [6] and [10].”
- Instanton counting with a surface operator and the chain-saw quiver (2011, background): “This statement was checked in [8, 10] for the case without the surface operator, and proved for SU(2) in [65, 66, 67, 68].”
- Quantization of the Hitchin moduli spaces, Liouville theory, and the geometric Langlands correspondence I (2010, methodology): “This holds in particular in the case of the N = 2∗-theory discussed in [53] for which the Nekrasov partition function coincides according to [1,15] with the Liouville conformal blocks on the one-punctured torus.”
- Wild quiver gauge theories (2011, background): “5) was proved in [46] by using recursion relations [47, 48, 49, 50].”