8 papers
New Beta Integral from Supersymmetric Gauge Theory on Projective Space
Ilmar Gahramanov, TuÄba 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…
Erdal İnönü at 100: From the Sphere to the Plane
Ilmar Gahramanov
On the centennial of Erdal Ä°nönü's birth, this article reflects on his scientific legacy and his role in shaping modern theoretical physics in Türkiye. We briefly discuss his l…
Hamiltonian formulation of the supersymmetric KdV equation
Ali Pazarci, Nadir Ghazanfari, Ilmar Gahramanov
We studied the constrained Hamiltonian formulation of a supersymmetric Korteweg-de Vries (KdV) equation, which is observed to be a constrained system similar to its classical versi…
Lens Hyperbolic Modular Double
YaÄmur 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 Pairs for the Tetrahedron Index
Ilmar Gahramanov, Sinan UlaÅ Ãztürk, Uveys Turhan
In this work, we develop new Bailey pairs for the pentagon identity satisfied by the tetrahedron index, expressible in terms of -series. Since the tetrahedron index underlies to…
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…