AGT correspondence



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The AGT correspondence (AGT) is a relation between the partition function of SU(2) n+3g3SU(2)^{n+3g-3}-N=2 D=4 super Yang-Mills theory and Liouville theory on an nn-punctured Riemann surface C g,nC_{g,n} of genus gg

(from which the super Yang-Mills theory is obtained by compactifying the M5-brane 6d (2,0)-supersymmetric QFT on it, see at N=2 D=4 super Yang-Mills theory, the section Construction by compactification).


The original article is

See also

  • A. A. Belavin, M. A. Bershtein, B. L. Feigin, A. V. Litvinov, G. M. Tarnopolsky, Instanton moduli spaces and bases in coset conformal field theory,

  • Volker Schomerus, Paulina Suchanek, Liouville’s imaginary shadow, arxiv/1210.1856

  • A.Mironov, A.Morozov, The power of Nekrasov functions, arxiv/0908.2190

  • D. Galakhov, A. Mironov, A. Morozov, S-duality as a beta-deformed Fourier transform, arxiv/1205.4998

  • A. Mironov, Spectral duality in integrable systems from AGT conjecture, arxiv/1204.0913

  • A. Belavin, V. Belavin, AGT conjecture and integrable structure of conformal field theory for c=1c=1, Nucl.Phys.B850:199-213 (2011) arxiv/1102.0343

  • A. Belavin, V. Belavin, M. Bershtein, Instantons and 2d Superconformal field theory, arxiv/1106.4001

  • Kazunobu Maruyoshi, Quantum integrable systems, matrix models, and AGT correspondence, seminar slides

  • Giulio Bonelli, Alessandro Tanzini, Hitchin systems, N=2 gauge theories and W-gravity, arxiv/0909.4031

  • Giulio Bonelli, Kazunobu Maruyoshi, Alessandro Tanzini, Quantum Hitchin systems via beta-deformed matrix models, arxiv/1104.4016

The AGT correspondence is treated with the help of a Riemann-Hilbert problem in

  • G. Vartanov, J. Teschner, Supersymmetric gauge theories, quantization of moduli spaces of flat connections, and conformal field theory, arxiv/1302.3778

Revised on June 28, 2013 11:21:44 by Urs Schreiber (