Built on

V. P. Spiridonov and G. S. Vartanov, “Superconformal indices for N = 1 theories with multiple duals,” Nucl. Phys. B 824
Original
1909
Earlier work this paper cites.
E. Witten, “Constraints on Supersymmetry Breaking,” Nucl. Phys. B 202
1982
Earlier work this paper cites.
N. Seiberg, “Electric - magnetic duality in supersymmetric nonAbelian gauge theories,” Nucl. Phys. B 435
1995
Earlier work this paper cites.
K. A. Intriligator and P. Pouliot, “Exact superpotentials, quantum vacua and duality in supersymmetric SP(N(c)) gauge theories,” Phys. Lett. B 353
1995
Earlier work this paper cites.
C. Csaki, M. Schmaltz, W. Skiba and J. Terning, “Selfdual N=1 SUSY gauge theories,” Phys. Rev. D 56
1997
Earlier work this paper cites.
V. P. Spiridonov, “On the elliptic beta function”, Uspekhi Mat. Nauk 56
2001
Earlier work this paper cites.
V. P. Spiridonov, “Theta hypergeometric integrals,” Algebra i Analiz 15
2003
Earlier work this paper cites.
C. Romelsberger, “Counting chiral primaries in N = 1, d=4 superconformal field theories,” Nucl. Phys. B 747
2006
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla and S. Raju, “An Index for 4 dimensional super conformal theories,” Commun. Math. Phys. 275
2007
Earlier work this paper cites.
B. Feng, A. Hanany and Y. -H. He, “Counting gauge invariants: The Plethystic program,” JHEP 0703
2007
Earlier work this paper cites.

Similar

V. P. Spiridonov, “Essays on the theory of elliptic hypergeometric functions”, Uspekhi Mat. Nauk, 63:3(381) (2008), 372
2008
Cited alongside, same era.
F. A. Dolan and H. Osborn, “Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories,” Nucl. Phys. B 818
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2009
Cited alongside, same era.
A. Gadde, E. Pomoni, L. Rastelli and S. S. Razamat, “S-duality and 2d Topological QFT,” JHEP 1003
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Cited alongside, same era.
A. Khmelnitsky, “Interpreting multiple dualities conjectured from superconformal index identities,” JHEP 1003
Original
2010
Cited alongside, same era.
V. P. Spiridonov and G. S. Vartanov, “Elliptic Hypergeometry of Supersymmetric Dualities,” Commun. Math. Phys. 304

Then

Y. Imamura and S. Yokoyama, “Index for three dimensional superconformal field theories with general R-charge assignments,” JHEP 1104
Original
2011
Later among the works it cites.
C. Krattenthaler, V. P. Spiridonov and G. S. Vartanov, “Superconformal indices of three-dimensional theories related by mirror symmetry,” JHEP 1106
Original
2011
Later among the works it cites.
V. P. Spiridonov and G. S. Vartanov, “Superconformal indices of 𝒩 = 4 {\mathcal{N}}=4 SYM field theories,” Lett. Math. Phys. 100
Original
2012
Later among the works it cites.
M. Sudano, “The Romelsberger Index, Berkooz Deconfinement, and Infinite Families of Seiberg Duals,” JHEP 1205
Original
2012
Later among the works it cites.
T. Dimofte and D. Gaiotto, “An E7 Surprise,” JHEP 1210

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2013

Extended global symmetries for 4d N=1 SQCD theories

Gahramanov, Ilmar, Vartanov, Grigory

Understand

In arXiv:0811.1909 Spiridonov and Vartanov, using the superconformal index technique, found that 4-dimensional N=1 SQCD theory with SU(2) gauge group and four flavors has 72 dual representations.

Recently in arXiv:1209.1404 the authors showed that these dual theories, when coupled to 5d hypermultiplets with specific boundary conditions have an extended E_7 global symmetry.
In this work we find that for a reduced theory with 3 flavors the explicit SU(6) global symmetry is enhanced to an E_6 symmetry in the presence of 5d hypermultiplets.
We also show connections between indices of different theories in 3 and 4 dimensions.

Built on

V. P. Spiridonov and G. S. Vartanov, “Superconformal indices for N = 1 theories with multiple duals,” Nucl. Phys. B 824
Original
1909
Earlier work this paper cites.
E. Witten, “Constraints on Supersymmetry Breaking,” Nucl. Phys. B 202
1982
Earlier work this paper cites.
N. Seiberg, “Electric - magnetic duality in supersymmetric nonAbelian gauge theories,” Nucl. Phys. B 435
1995
Earlier work this paper cites.
K. A. Intriligator and P. Pouliot, “Exact superpotentials, quantum vacua and duality in supersymmetric SP(N(c)) gauge theories,” Phys. Lett. B 353
1995
Earlier work this paper cites.
C. Csaki, M. Schmaltz, W. Skiba and J. Terning, “Selfdual N=1 SUSY gauge theories,” Phys. Rev. D 56
1997
Earlier work this paper cites.
V. P. Spiridonov, “On the elliptic beta function”, Uspekhi Mat. Nauk 56
2001
Earlier work this paper cites.
V. P. Spiridonov, “Theta hypergeometric integrals,” Algebra i Analiz 15
2003
Earlier work this paper cites.
C. Romelsberger, “Counting chiral primaries in N = 1, d=4 superconformal field theories,” Nucl. Phys. B 747
2006
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla and S. Raju, “An Index for 4 dimensional super conformal theories,” Commun. Math. Phys. 275
2007
Earlier work this paper cites.
B. Feng, A. Hanany and Y. -H. He, “Counting gauge invariants: The Plethystic program,” JHEP 0703
2007
Earlier work this paper cites.