ISTRINGY

Istanbul Integrability and Stringy Topics Initiative

RESEARCH OUTPUT

Ideas developed through collaboration

Publications by ISTRINGY members and collaborators across string theory, quantum gravity, integrability and mathematical physics.

2026

Inverse scattering method for nonlinear negative first order coupled Klein-Gordon equation

Cihan Sabaz, Ilmar Gahramanov, Mansur I. Ismailov

arXiv:2609.02844

Arithmetic selection rules in dispersionless Hamiltonian systems

Fatma Aydogmus, Mustafa Mullahasanoglu

arXiv:2608.11179

On conformal symmetry in large-N quiver mechanics

Andrea De Marco, Mustafa Mullahasanoglu, Joris Raeymaekers, Paolo Rossi, Gizem Şengör

arXiv:2607.15348

New Beta Integral from Supersymmetric Gauge Theory on Projective Space

Ilmar Gahramanov, Tuğba Hırlı, R. Semih Kanber, Hjalmar Rosengren

arXiv:2606.29409

Hamiltonian formulation of the supersymmetric KdV equation

Ali Pazarci, Nadir Ghazanfari, Ilmar Gahramanov

arXiv:2605.08065

2025

Lens Hyperbolic Modular Double

Yağmur Bülbül, Ilmar Gahramanov, Ali Mert Yetkin, Reyhan Yumuşak

arXiv: 2511.06400

From dual gauge theories to dual spin models

Mustafa Mullahasanoglu

arXiv: 2510.26535

Bailey Pairs for the Tetrahedron Index

Ilmar Gahramanov, Sinan Ulaş Öztürk, Uveys Turhan

arXiv: 2510.20999

Bailey chain approach to 2d N=(0,2) dualities

Zehra Akbulut, Ilmar Gahramanov, Anıl Kahraman, Mustafa Mullahasanoglu, Yaren Yıldırım

arXiv: 2510.19713

More solutions to the decoration transformation

Erdal Catak, Mustafa Mullahasanoglu

J.Phys.Conf.Ser. 3152 (2025) 1, 012021, arXiv:2509.11842

Flipping relation as a reduced star-star relation

Erdal Catak, Mustafa Mullahasanoglu

Eur.Phys.J.C 85 (2025) 10, 1176, arXiv: 2508.19941

Ising 100: review of solutions

O. A. Ağırbaş, A. Ata, E. Demirci, I. Gahramanov, T. Hırlı, R. S. Kanber, A. B. Kavruk, M. Mullahasanoglu, Z. Özcan, C. Özdemir, I. Özgüç, S. U. Öztürk, U. Turhan, A. M. T. Yetkin, Y. E. Yıldırım, R. Yumuşak

arXiv:2504.09661

Displacement memory effect from supersymmetry

E.Catak, M. Mullahasanoglu

M. Elbistan, , Eur.Phys.J.Plus 140 (2025) 6, 540, arXiv:2504.05043

2024

Ordinary limits of the hyperbolic hypergeometric integral identities

M. Mullahasanoglu, A.M.T. Yetkin, R. Yumusak

arXiv:2412.21108

On Analytical Solutions in Witten’s Cubic Open String Field Theory

Ilmar Gahramanov

arXiv:2412.20981

Decorating the gauge/YBE correspondence

E.Catak, M. Mullahasanoglu

Eur.Phys.J.C 84 (2024) 9, 962, arXiv:2403.14485

2023

The star-square relation and the generalized star-triangle relation from 3d supersymmetric dualities I

M. Mullahasanoglu

Eur.Phys.J.Plus 139 (2024) 7, 643, arXiv:2306.13581

Algebraic Structures Behind the Yang-Baxterization Process

C. Özdemir, I. Gahramanov

arXiv:2305.03011

Liouville integrable binomial Hamiltonian system

M. Mullahasanoglu

J.Phys.Conf.Ser. 2667 (2023) 1, 012041, arXiv:2304.04500

Comments on flavor symmetry breaking and three-dimensional superconformal index

I. Gahramanov

arXiv:2303.00482

2022

A remark on the q-Hypergeometric Integral Bailey Pair and the Solution to the Star-Triangle Equation

E. Catak

Phys.Part.Nucl.Lett. 20 (2023) 6, 1357-1360, arXiv:2212.13528

Notes on the lens integral pentagon identity

H. K. Bag, O. Ergec, I. Gahramanov

arXiv:2212.06110

On Bailey pairs for N = 2 supersymmetric gauge theories on S3/Zr

I. Gahramanov, B. Keskin, D. Kosva, M. Mullahasanoglu

JHEP 03 (2023) 169 , arXiv:2210.11455

The Gross-Pitaevskii equation from the Heisenberg spin chain

O. E. Kaluc, I. Gahramanov

arXiv:2208.06387

A comment on the solutions of the generalized Faddeev-Volkov model

M. Dede

Int.J.Mod.Phys.B 38 (2024) 23, 2450311, arXiv:2206.14271

Hamiltonian formalism for nonlinear Schrödinger equations

A. Pazarci, I. Gahramanov

U. C. Turhan, N. Ghazanfari, , Commun.Nonlinear Sci.Numer.Simul. 121 (2023) 107191, arXiv:2205.14721

Integrability from supersymmetric duality: a short review

I. Gahramanov

arXiv:2201.00351

2021

Lens Partition Functions and Integrability Properties

M.Mullahasanoglu

N. Tas, arXiv: 2112.15161

Variational symmetries of Lagrangian systems with higher-order derivatives

E. Coban, I. Gahramanov, D. Kosva

Eur.Phys.J.Plus 138 (2023) 7, 605, arXiv:2112.13440

Bailey pairs for the q-hypergeometric integral pentagon identity

I. Gahramanov, O. E. Kaluc

Eur.Phys.J.C 83 (2023) 11, 1007, arXiv: 2111.14793

Hyperbolic and trigonometric hypergeometric solutions to the star-star equation

E. Catak, I. Gahramanov, M. Mullahasanoglu

Eur.Phys.J.C 82 (2022) 9, 789, arXiv: 2107.06880

2020

Lens partition functions, pentagon identity, and star-triangle relation

D. N. Bozkurt, I. Gahramanov, M. Mullahasanoglu

Phys.Rev.D 103 (2021) 12, arXiv: 2009.14198

Selected figures

From the archive

Figure from Ising 100: review of solutions

Ising 100 · 2025

Star-star relation diagram from Hyperbolic and trigonometric hypergeometric solutions to the star-star equation

Star-star relation · 2021

Kagome lattice diagram from Decorating the gauge/YBE correspondence

Gauge/YBE correspondence · 2024

Yang-Baxter diagram derived from the star-star relation

Yang–Baxter diagram · 2021

IRF-type lattice diagram from Decorating the gauge/YBE correspondence

IRF-type lattice · 2024

Matrix representation figure from Ising 100: review of solutions

Ising transfer matrix · 2025

Diagram from Ising 100: review of solutions

Ising lattice diagram · 2025

Equations for the flipping relation as a reduced star-star relation

Flipping relation · 2025

Coloured star-star relation diagram

Coloured star–star relation · 2021

IRF-type lattice diagram used in the flipping relation

IRF flipping lattice · 2024

Open the figures to read the full paper on arXiv.