9 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…