151 citations · 852 across the 14 of their papers we have counts for
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Vanishing superconformal indices and the chiral symmetry breaking
V. P. Spiridonov, G. S. Vartanov
Superconformal indices of 4d \N=1 SYM theories with SU(N) and SP(2N) gauge groups are investigated for N_f=N and N_f=N+1 flavors, respectively. These indices vanish for generic val…
Superconformal indices and partition functions for supersymmetric field theories
Ilmar Gahramanov, Grigory Vartanov
Recently there was a substantial progress in understanding of supersymmetric theories (in particular, their BPS spectrum) in space-times of different dimensions due to the exact co…
Extended global symmetries for 4d N=1 SQCD theories
Ilmar Gahramanov, Grigory Vartanov
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 r…
Supersymmetric gauge theories, quantization of moduli spaces of flat connections, and conformal field theory
G. Vartanov, J. Teschner
We will propose a derivation of the correspondence between certain gauge theories with N=2 supersymmetry and conformal field theory discovered by Alday, Gaiotto and Tachikawa in th…
Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions
V. P. Spiridonov, G. S. Vartanov
Elliptic hypergeometric integrals describe superconformal indices of 4d supersymmetric field theories. We show that all 't Hooft anomaly matching conditions for Seiberg dual theori…
6j symbols for the modular double, quantum hyperbolic geometry, and supersymmetric gauge theories
J. Teschner, G. S. Vartanov
We revisit the definition of the 6j-symbols from the modular double of U_q(sl(2,R)), referred to as b-6j symbols. Our new results are (i) the identification of particularly natural…
Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices
V. P. Spiridonov, G. S. Vartanov
We consider Seiberg electric-magnetic dualities for 4d SYM theories with SO(N) gauge group. For all such known theories we construct superconformal indices (SCIs) i…
From 4d superconformal indices to 3d partition functions
F. A. H. Dolan, V. P. Spiridonov, G. S. Vartanov
An exact formula for partition functions in 3d field theories was recently suggested by Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed in terms of specific $…
Superconformal indices of three-dimensional theories related by mirror symmetry
C. Krattenthaler, V. P. Spiridonov, G. S. Vartanov
Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equal…
On the ISS model of dynamical SUSY breaking
G. S. Vartanov
In this letter we would like to apply the superconformal index technique to give one more evidence for the theory proposed by Intriligator, Seiberg and Shenker (ISS) as being descr…
Superconformal indices of SYM field theories
V. P. Spiridonov, G. S. Vartanov
Superconformal indices (SCIs) of 4d SYM theories with simple gauge groups are described in terms of elliptic hypergeometric integrals. For gau…
Supersymmetric dualities beyond the conformal window
V. P. Spiridonov, G. S. Vartanov
Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for supersymmetric field theories outside the conformal windows. These theorie…
Elliptic hypergeometry of supersymmetric dualities
V. P. Spiridonov, G. S. Vartanov
We give a full list of known supersymmetric quantum field theories related by the Seiberg electric-magnetic duality conjectures for and gauge…
Superconformal indices for N=1 theories with multiple duals
V. P. Spiridonov, G. S. Vartanov
Following a recent work of Dolan and Osborn, we consider superconformal indices of four dimensional supersymmetric field theories related by an electric-magnetic d…