Supervisor’s research interests

Theory of modern special functions emerging in exact computations of partition functions in 2, 3, 4, 5, 6 dimensional supersymmetric field theories, corresponding superconformal indices and Seiberg dualities. Exactly solvable 2d lattice models of Ising type, 2d conformal field theories, star-triangle relation and Yang-Baxter equation. Theory of elliptic hypergeometric functions and elliptic integrable systems.

Research highlights

The research requires mathematically minded approach in the Dirac style: physics suggests the mathematical objects for investigation, and exact formulas derived via mathematical logic help to understand the physics behind.

Successful students may get additional financial support from research grants.

Main publications

• V.P. Spiridonov, G.S. Vartanov, Elliptic hypergeometry of supersymmetric dualities, Commun. Math. Phys. 304 (2011) 797
• S.E. Derkachov, V.P. Spiridonov, Yang-Baxter equation, parameter permutations, and the elliptic beta integral, Russian Math. Surveys 68 (2013) 1027
• V. P. Spiridonov, Essays on the theory of elliptic hypergeometric functions, Russian Math. Surveys 63 (2008) 405
• V.P. Spiridonov, Universal superpositions of coherent states and self-similar potentials, Phys. Rev. A 52 (1995) 1909
• G.A. Sarkissian, V.P. Spiridonov, The endless beta integrals, arXiv:2005.01059 [math-ph]