Elliptic beta integrals and solvable models of statistical mechanics - High Energy Physics - TheoryReport as inadecuate




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Abstract: The univariate elliptic beta integral was discovered by the author in 2000.Recently Bazhanov and Sergeev have interpreted it as a star-triangle relationSTR. This important observation is discussed in more detail in connection toauthor-s previous work on the elliptic modular double and supersymmetricdualities. We describe also a new Faddeev-Volkov type solution of STR,connections with the star-star relation, and higher-dimensional analogues ofsuch relations. In this picture, Seiberg dualities are described by symmetriesof the elliptic hypergeometric integrals interpreted as superconformalindices which, in turn, represent STR and Kramers-Wannier type dualitytransformations for elementary partition functions in solvable models ofstatistical mechanics.



Author: V. P. Spiridonov

Source: https://arxiv.org/







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