7 citations · 22 across the 15 of their papers we have counts for
15 papers
Arithmetic selection rules in dispersionless Hamiltonian systems
Fatma Aydogmus, Mustafa Mullahasanoglu
In this work, we derive selection rules imposed by Liouville integrability conditions for monomial charge densities with arbitrary powers. For a certain monomial Hamiltonian system…
On conformal symmetry in large- quiver mechanics
Andrea De Marco, Mustafa Mullahasanoglu, Joris Raeymaekers +2
The microscopic description of extremal supersymmetric black holes in AdS/CFT holography has remained elusive despite recent progress in the statistical description of near…
From dual gauge theories to dual spin models
Mustafa Mullahasanoglu
This brief review surveys recent progress driven by the gauge/Yang-Baxter equation (YBE) correspondence. This connection has proven to be a powerful tool for discovering novel inte…
Bailey chain approach to 2d dualities
Zehra Akbulut, Ilmar Gahramanov, Anıl Kahraman +2
We study a two-dimensional supersymmetric duality and construct novel Bailey pairs for the associated elliptic genera. This framework provides a systematic meth…
More solutions to the decoration transformation
Erdal Catak, Mustafa Mullahasanoglu
In this work, we investigate new solutions to the decoration transformation in terms of various special functions, including the hyperbolic gamma function, the basic hypergeometric…
Flipping relation as a reduced star-star relation
Erdal Catak, Mustafa Mullahasanoglu
In this paper, we consider the lens hyperbolic gamma solution to the star-star relation and the flipping relation from three-dimensional supersymmetric gauge theori…
Displacement Memory Effect from Supersymmetry
Erdal Catak, Mahmut Elbistan, Mustafa Mullahasanoglu
We explain the recent results on the displacement memory effect (DME) of plane gravitational waves using supersymmetric quantum mechanics. This novel approach stems from that both…
Ordinary limits of the hyperbolic hypergeometric integral identities
Mustafa Mullahasanoglu, Ali Mert T. Yetkin, Reyhan Yumusak
The computation of the partition function of supersymmetric gauge theories on compact manifolds can be reduced to matrix integrals by using the supersymmetric localization techniqu…
Decorating the gauge/YBE correspondence
Erdal Catak, Mustafa Mullahasanoglu
In this paper, we aim to study the three-dimensional supersymmetric dual gauge theories on in the context of the gauge/YBE correspondence. We co…
The star-square relation and the generalized star-triangle relation from 3d supersymmetric dualities I
Mustafa Mullahasanoglu
We study duality transformations of the star-square relation and the generalized star-triangle relation for Ising-like integrable lattice spin models. The integrable models are obt…
Liouville integrable binomial Hamiltonian system
Mustafa Mullahasanoglu
In this study we work on a novel Hamiltonian system which is Liouville integrable. In the integrable Hamiltonian model, conserved currents can be represented as Binomial polynomial…
On Bailey pairs for supersymmetric gauge theories on
Ilmar Gahramanov, Batuhan Keskin, Dilara Kosva +1
We study Bailey pairs construction for hyperbolic hypergeometric integral identities acquired via the duality of lens partitions functions for the three-dimensional …
Lens Partition Functions and Integrability Properties
Mustafa Mullahasanoglu, Nuri Tas
We study lens partitions functions for the three-dimensional supersymmetric gauge theories on . We consider an equality as a new hyperbolic hypergeometric solution…
Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
Erdal Catak, Ilmar Gahramanov, Mustafa Mullahasanoglu
We construct the hyperbolic and trigonometric solutions to the star-star relation via the gauge/YBE correspondence by using the three-dimensional lens partition function and superc…
Lens partition function, pentagon identity and star-triangle relation
Deniz N. Bozkurt, Ilmar Gahramanov, Mustafa Mullahasanoglu
We study the three-dimensional lens partition function for supersymmetric gauge dual theories on by using the gauge/YBE correspondence. This corre…