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math-ph2017★ 13 cited
Integrable lattice spin models from supersymmetric dualities
Ilmar Gahramanov, Shahriyar Jafarzade
Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mec…
math-ph2017
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…
hep-th2017
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…