12 citations · 12 across the 1 of their papers we have counts for
5 papers
From 2d Droplets to 2d Yang-Mills
Arghya Chattopadhyay, Suvankar Dutta, Debangshu Mukherjee +1
We establish a connection between time evolution of free Fermi droplets and partition function of \emph{generalised} \emph{q}-deformed Yang-Mills theories on Riemann surfaces. Clas…
Quantum Mechanics of Plancherel Growth
Arghya Chattopadhyay, Suvankar Dutta, Debangshu Mukherjee +1
Growth of Young diagrams, equipped with Plancherel measure, follows the automodel equation of Kerov. Using the technology of unitary matrix model we show that such growth process i…
Chern-Simons Theory on Seifert Manifold and Matrix Model
Arghya Chattopadhyay, Suvankar Dutta, Neetu
Chern-Simons (CS) theories with rank and level on Seifert manifold are discussed. The partition functions of such theories can be written as a function of modular transform…
Matrix Model for Riemann Zeta via its Local Factors
Arghya Chattopadhyay, Parikshit Dutta, Suvankar Dutta +1
We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is `-iecemeal', in the sense that we cons…
Emergent Phase Space Description of Unitary Matrix Model
Arghya Chattopadhyay, Parikshit Dutta, Suvankar Dutta
We show that large phases of a dimensional generic unitary matrix model (UMM) can be described in terms of topologies of two dimensional droplets on a plane spanned by eige…