44 citations · 281 across the 35 of their papers we have counts for
20 papers · 1 filter
New Beta Integral from Supersymmetric Gauge Theory on Projective Space
Ilmar Gahramanov, Tuğba Hırlı, R. Semih Kanber +1
We derive a new beta-type basic hypergeometric integral identity from the equality of supersymmetric partition functions on . Unlike previously…
Lens Hyperbolic Modular Double
Yağmur Bülbül, Ilmar Gahramanov, Ali Mert Yetkin +1
We construct the lens hyperbolic modular double, a new algebraic structure whose intertwining operator produces a lens hyperbolic hypergeometric solution of the Yang--Baxter equati…
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…
On Analytical Solutions in Witten's Cubic Open String Field Theory
Ilmar Gahramanov
This short review is based on the lecture given by the author at the Feza Gürsey Physics Days School 2024. Here we briefly review analytic solutions (in particular, the Erler-Schna…
Comments on flavor symmetry breaking and three-dimensional superconformal index
Ilmar Gahramanov
We investigate the superconformal index of a three-dimensional supersymmetric QCD with flavors. This theory confines with the breaking of a global…
Notes on the lens integral pentagon identity
H. Kübra Bag, Osman Ergec, Ilmar Gahramanov
We obtain the lens integral pentagon identity for three-dimensional mirror dual theories in terms of hyperbolic hypergeometric functions via reduction of equality for $\mathcal N=2…
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 …
Integrability from supersymmetric duality: a short review
Ilmar Gahramanov
Integrable models of statistical mechanics play a prominent role in modern mathematical physics, especially in conformal field theory, knot theory, combinatorics, topology, etc. In…
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…
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…
A resurgence analysis for cubic and quartic anharmonic potentials
Ilmar Gahramanov, Kemal Tezgin
In this work we explicitly show resurgence relations between perturbative and one instanton sectors of the resonance energy levels for cubic and quartic anharmonic potentials in on…
Basic hypergeometry of supersymmetric dualities
Ilmar Gahramanov, Hjalmar Rosengren
We introduce several new identities combining basic hypergeometric sums and integrals. Such identities appear in the context of superconformal index computations for three-dimensio…
Remark on the Dunne-Unsal relation in exact semi-classics
Ilmar Gahramanov, Kemal Tezgin
Recently, it is realized that non-perturbative instanton effects can be generated to all orders by perturbation theory around a degenerate minima via Dunne-Unsal relation in severa…
Integral pentagon relations for 3d superconformal indices
Ilmar Gahramanov, Hjalmar Rosengren
The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories,…
Superconformal indices and partition functions for supersymmetric field theories
Ilmar Gahramanov, Grigory Vartanov
Recently there was a substantial progress in understanding of supersymmetric theories (in particular, their BPS spectrum) in space-times of different dimensions due to the exact co…
A new pentagon identity for the tetrahedron index
Ilmar Gahramanov, Hjalmar Rosengren
Recently Kashaev, Luo and Vartanov, using the reduction from a four-dimensional superconformal index to a three-dimensional partition function, found a pentagon identity for a spec…
Extended global symmetries for 4d N=1 SQCD theories
Ilmar Gahramanov, Grigory Vartanov
In arXiv:0811.1909 Spiridonov and Vartanov, using the superconformal index technique, found that 4-dimensional N=1 SQCD theory with SU(2) gauge group and four flavors has 72 dual r…
Anisotropic hydrodynamics, holography and the chiral magnetic effect
Ilmar Gahramanov, Tigran Kalaydzhyan, Ingo Kirsch
We discuss a possible dependence of the chiral magnetic effect (CME) on the elliptic flow coefficient v2. We first study this in a hydrodynamic model for a static anisotropic plasm…
Hints on integrability in the Wilsonian/holographic renormalization group
E. T. Akhmedov, I. B. Gahramanov, E. T. Musaev
The Polchinski equations for the Wilsonian renormalization group in the --dimensional matrix scalar field theory can be written at large in a Hamiltonian form. The Hamiltoni…