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Elliptic beta integrals and solvable models of statistical mechanics
V. P. Spiridonov
The univariate elliptic beta integral was discovered by the author in 2000. Recently Bazhanov and Sergeev have interpreted it as a star-triangle relation (STR). This important obse…
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 hypergeometric terms
V. P. Spiridonov
General structure of the multivariate plain and q-hypergeometric terms and univariate elliptic hypergeometric terms is described. Some explicit examples of the totally elliptic hyp…