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J. Kallen and M. Zabzine, “Twisted Supersymmetric 5 D 5D Yang-Mills Theory and Contact Geometry,” JHEP 1205
Original
1956
Earlier work this paper cites.
M. Blau and G. Thompson, “Derivation of the Verlinde Formula from Chern-Simons Theory and the G / G G/G model,” Nucl. Phys. B 408
1993
Earlier work this paper cites.
M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, “On four-dimensional compactifications of F theory,” Nucl. Phys. B 505
1997
Earlier work this paper cites.
M. Aganagic, H. Ooguri, N. Saulina, and C. Vafa, “Black Holes, q q -Deformed 2 d 2d Yang-Mills, and Non-Perturbative Topological Strings,” Nucl. Phys. B 715
2005
Earlier work this paper cites.
A. Gadde, E. Pomoni, L. Rastelli and S. S. Razamat, “S-Duality and 2 d 2d Topological QFT,” JHEP 1003
Original
2010
Earlier work this paper cites.

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2012

5D SYM and 2D q-Deformed YM

Fukuda, Yasutaka, Kawano, Teruhiko, Matsumiya, Nariaki

Understand

We study the AGT-like conjectured relation of a four-dimensional gauge theory on the direct product of a three-sphere and a circle to two-dimensional q-deformed Yang-Mills theory on a Riemann surface by using a five-dimensional N=2 supersymmetric Yang-Mills theory on the direct product of the three-sphere and the Riemann surface, following the conjectured relation of the six-dimensional N=(2,0) theory on the circle to the five-dimensional Yang-Mills theory.

Our results are in perfect agreement with both of the conjectures.

Built on

J. Kallen and M. Zabzine, “Twisted Supersymmetric 5 D 5D Yang-Mills Theory and Contact Geometry,” JHEP 1205
Original
1956
Earlier work this paper cites.
M. Blau and G. Thompson, “Derivation of the Verlinde Formula from Chern-Simons Theory and the G / G G/G model,” Nucl. Phys. B 408
1993
Earlier work this paper cites.
M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, “On four-dimensional compactifications of F theory,” Nucl. Phys. B 505
1997
Earlier work this paper cites.
M. Aganagic, H. Ooguri, N. Saulina, and C. Vafa, “Black Holes, q q -Deformed 2 d 2d Yang-Mills, and Non-Perturbative Topological Strings,” Nucl. Phys. B 715
2005
Earlier work this paper cites.
A. Gadde, E. Pomoni, L. Rastelli and S. S. Razamat, “S-Duality and 2 d 2d Topological QFT,” JHEP 1003
Original
2010
Earlier work this paper cites.