Ising 100: review of solutions
We present several known solutions to the two-dimensional Ising model. This review originated from the ``Ising 100'' seminar series held at Boğaziçi University, Istanbul, in 2024.
math-ph↗
arXiv subjects
Ali Mert T. Yetkin
Publications and source records attributed to Ali Mert T. Yetkin.
Ordinary limits of the hyperbolic hypergeometric integral identities
The computation of the partition function of supersymmetric gauge theories on compact manifolds can be reduced to matrix integrals by using the supersymmetric localization technique. Such matrix integrals in the case of three-dimensional supersymmetric gauge theories on lens space can be expressed in terms of hyperbolic hypergeometric integrals. By studying partition functions of supersymmetric dual theories, one can obtain new complicated identities for this type of special function. We derive new ordinary hypergeometric identities from the reduction of certain hyperbolic hypergeometric integral identities obtained via supersymmetric infrared dualities.
hep-th↗