44 citations · 281 across the 35 of their papers we have counts for
4 papers · 1 filter
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 Pairs for the Tetrahedron Index
Ilmar Gahramanov, Sinan Ulaş Öztürk, 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…
Ising 100: review of solutions
Oğuz Alp Ağırbaş, Anıl Ata, Eren Demirci +13
We present several known solutions to the two-dimensional Ising model. This review originated from the ``Ising 100'' seminar series held at Boğaziçi University, Istanbul, in 2024.