Ordinary limits of the hyperbolic hypergeometric integral identities

Authors: Mullahasanoglu, Mustafa, Yetkin, Ali Mert T., Yumusak, Reyhan

Subject Terms: High Energy Physics - Theory, Mathematical Physics

Access URL: http://arxiv.org/abs/2412.21108

Decorating the gauge/YBE correspondence

Authors: Catak, Erdal, Mullahasanoglu, Mustafa

Subject Terms: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems

Access URL: http://arxiv.org/abs/2403.14485

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

Authors: Mullahasanoglu, Mustafa

Subject Terms: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems

Access URL: http://arxiv.org/abs/2306.13581

Liouville integrable binomial Hamiltonian system

Authors: Mullahasanoglu, Mustafa

Subject Terms: Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Mathematical Physics

Access URL: http://arxiv.org/abs/2304.04500

On Bailey pairs for $\mathcal N=2$ supersymmetric gauge theories on $S_b^3/\mathbb{Z}_r$

Authors: Gahramanov, Ilmar, Keskin, Batuhan, Kosva, Dilara, Mullahasanoglu, Mustafa

Source: JHEP 03 (2023) 169

Subject Terms: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems

Access URL: http://arxiv.org/abs/2210.11455

Lens Partition Functions and Integrability Properties

Authors: Mullahasanoglu, Mustafa, Tas, Nuri

Subject Terms: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems

Access URL: http://arxiv.org/abs/2112.15161

Hyperbolic and trigonometric hypergeometric solutions to the star-star equation

Authors: Catak, Erdal, Gahramanov, Ilmar, Mullahasanoglu, Mustafa

Subject Terms: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems

Access URL: http://arxiv.org/abs/2107.06880

Lens partition function, pentagon identity and star-triangle relation

Authors: Bozkurt, Deniz N., Gahramanov, Ilmar, Mullahasanoglu, Mustafa

Source: Phys. Rev. D 103, 126013 (2021)

Subject Terms: High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 16T25, 33Cxx, 33Dxx

Access URL: http://arxiv.org/abs/2009.14198

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On Bailey pairs for N = 2 supersymmetric gauge theories on Sb3/ℤr.

Authors: Gahramanov, Ilmar, Keskin, Batuhan, Kosva, Dilara, Mullahasanoglu, Mustafa

Source: Journal of High Energy Physics; Apr2023, Vol. 2023 Issue 4, p1-24, 24p

Subject Terms: YANG-Baxter equation, PARTITION functions, GAUGE field theory, HYPERGEOMETRIC functions, TRIANGLES

Hyperbolic and trigonometric hypergeometric solutions to the star-star equation.

Authors: Catak, Erdal, Gahramanov, Ilmar, Mullahasanoglu, Mustafa

Source: European Physical Journal C -- Particles & Fields; Sep2022, Vol. 82 Issue 9, p1-8, 8p

Subject Terms: PARTITION functions, HYPERGEOMETRIC functions, STATISTICAL mechanics, EQUATIONS, STATISTICAL models