4 papers
Gamma function solutions to the star-triangle equation
Ege Eren, Ilmar Gahramanov, Shahriyar Jafarzade +1
In the paper, we clarify some relations between solutions to the star-triangle equation via the gauge/YBE correspondence. We consider two solutions to the star-triangle relation in…
Pentagon identities arising in supersymmetric gauge theory computations
Deniz N. Bozkurt, Ilmar Gahramanov
The partition functions of three-dimensional N=2 supersymmetric gauge theories on different manifolds can be expressed as q-hypergeometric integrals. By comparing the partition fun…
Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity
Ilmar Gahramanov, Shahriyar Jafarzade
We present a multi-spin solution to the Yang-Baxter equation. The solution corresponds to the integrable lattice spin model of statistical mechanics with positive Boltzmann weights…
Integrability properties of Motzkin polynomials
Ilmar Gahramanov, Edvard T. Musaev
We consider a Hamiltonian system which has its origin in a generalization of exact renormalization group flow of matrix scalar field theory and describes a non-linear generalizatio…