Built on

N. Seiberg and E. Witten, Monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory , Nucl. Phys. B426
1994
Earlier work this paper cites.
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD , Nucl. Phys. B431
1994
Earlier work this paper cites.
I. Antoniadis, E. Gava, K. Narain, and T. Taylor, Topological amplitudes in string theory , Nucl.Phys. B413
1994
Earlier work this paper cites.
M. Matone, Instantons and recursion relations in N=2 SUSY gauge theory , Phys. Lett. B357
1995
Earlier work this paper cites.
E. Witten, Solutions of four-dimensional field theories via M theory , Nucl.Phys. B500
1997
Earlier work this paper cites.
A. Buchel, A. W. Peet, and J. Polchinski, Gauge dual and noncommutative extension of an N=2 supergravity solution , Phys.Rev. D63
2001
Earlier work this paper cites.
K. Pilch and N. P. Warner, N=2 supersymmetric RG flows and the IIB dilaton , Nucl.Phys. B594
2001
Earlier work this paper cites.
M. Bertolini, P. Di Vecchia, M. Frau, I. Pesando, A. Lerda, and R. Marotta, Fractional D-branes and their gauge duals , JHEP 02
2001
Earlier work this paper cites.
J. Polchinski, N=2 Gauge / gravity duals , Int.J.Mod.Phys. A16
2001
Earlier work this paper cites.
M. Billo, L. Gallot, and A. Liccardo, Classical geometry and gauge duals for fractional branes on ALE orbifolds , Nucl. Phys. B614
2001
Earlier work this paper cites.
U. Bruzzo, F. Fucito, J. F. Morales, and A. Tanzini, Multi-instanton calculus and equivariant cohomology , JHEP 05
2003
Earlier work this paper cites.
N. Nekrasov, Seiberg-Witten prepotential from instanton counting , Adv. Theor. Math. Phys. 7
2004
Earlier work this paper cites.
N. Nekrasov and S. Shadchin, ABCD of instantons , Commun.Math.Phys. 252
2004
Earlier work this paper cites.
F. Fucito, J. F. Morales, and R. Poghossian, Instantons on quivers and orientifolds , JHEP 0410
2004
Earlier work this paper cites.
H. Ooguri, A. Strominger, and C. Vafa, Black hole attractors and the topological string , Phys.Rev. D70
2004
Earlier work this paper cites.
M. Billo, M. Frau, F. Fucito, and A. Lerda, Instanton calculus in R-R background and the topological string , JHEP 11
2006
Earlier work this paper cites.
T. W. Grimm, A. Klemm, M. Marino, and M. Weiss, Direct Integration of the Topological String , JHEP 0708
2007
Earlier work this paper cites.
K. Ito, H. Nakajima, and S. Sasaki, Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory , JHEP 0812
Original
2008
Earlier work this paper cites.
V. Z. Enolskii and P. Richter, Periods of hyperelliptic integrals expressed in terms of θ \theta -constants by means of Thomae formulae , Phil. Trans. R. Soc. A 366
2008
Earlier work this paper cites.

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2015

Non-perturbative studies of N=2 conformal quiver gauge theories

Ashok, S. K., Billó, M., Dell'Aquila, E. et al.

Understand

We study N=2 super-conformal field theories in four dimensions that correspond to mass-deformed linear quivers with n gauge groups and (bi-)fundamental matter.

We describe them using Seiberg-Witten curves obtained from an M-theory construction and via the AGT correspondence.
We take particular care in obtaining the detailed relation between the parameters appearing in these descriptions and the physical quantities of the quiver gauge theories.
This precise map allows us to efficiently reconstruct the non-perturbative prepotential that encodes the effective IR properties of these theories.

Built on

N. Seiberg and E. Witten, Monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory , Nucl. Phys. B426
1994
Earlier work this paper cites.
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD , Nucl. Phys. B431
1994
Earlier work this paper cites.
I. Antoniadis, E. Gava, K. Narain, and T. Taylor, Topological amplitudes in string theory , Nucl.Phys. B413
1994
Earlier work this paper cites.
M. Matone, Instantons and recursion relations in N=2 SUSY gauge theory , Phys. Lett. B357
1995
Earlier work this paper cites.
E. Witten, Solutions of four-dimensional field theories via M theory , Nucl.Phys. B500
1997
Earlier work this paper cites.
A. Buchel, A. W. Peet, and J. Polchinski, Gauge dual and noncommutative extension of an N=2 supergravity solution , Phys.Rev. D63
2001
Earlier work this paper cites.
K. Pilch and N. P. Warner, N=2 supersymmetric RG flows and the IIB dilaton , Nucl.Phys. B594
2001
Earlier work this paper cites.
M. Bertolini, P. Di Vecchia, M. Frau, I. Pesando, A. Lerda, and R. Marotta, Fractional D-branes and their gauge duals , JHEP 02
2001
Earlier work this paper cites.
J. Polchinski, N=2 Gauge / gravity duals , Int.J.Mod.Phys. A16
2001
Earlier work this paper cites.
M. Billo, L. Gallot, and A. Liccardo, Classical geometry and gauge duals for fractional branes on ALE orbifolds , Nucl. Phys. B614
2001
Earlier work this paper cites.
U. Bruzzo, F. Fucito, J. F. Morales, and A. Tanzini, Multi-instanton calculus and equivariant cohomology , JHEP 05
2003
Earlier work this paper cites.
N. Nekrasov, Seiberg-Witten prepotential from instanton counting , Adv. Theor. Math. Phys. 7
2004
Earlier work this paper cites.
N. Nekrasov and S. Shadchin, ABCD of instantons , Commun.Math.Phys. 252
2004
Earlier work this paper cites.
F. Fucito, J. F. Morales, and R. Poghossian, Instantons on quivers and orientifolds , JHEP 0410
2004
Earlier work this paper cites.
H. Ooguri, A. Strominger, and C. Vafa, Black hole attractors and the topological string , Phys.Rev. D70
2004
Earlier work this paper cites.
M. Billo, M. Frau, F. Fucito, and A. Lerda, Instanton calculus in R-R background and the topological string , JHEP 11
2006
Earlier work this paper cites.
T. W. Grimm, A. Klemm, M. Marino, and M. Weiss, Direct Integration of the Topological String , JHEP 0708
2007
Earlier work this paper cites.
K. Ito, H. Nakajima, and S. Sasaki, Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory , JHEP 0812
Original
2008
Earlier work this paper cites.
V. Z. Enolskii and P. Richter, Periods of hyperelliptic integrals expressed in terms of θ \theta -constants by means of Thomae formulae , Phil. Trans. R. Soc. A 366
2008
Earlier work this paper cites.