5 papers
A Unitary Matrix Model for -deformed Plancherel Growth
Suvankar Dutta, Debangshu Mukherjee, Neetu +1
In this paper we construct a unitary matrix model that captures the asymptotic growth of Young diagrams under -deformed Plancherel measure. The matrix model is a analog of G…
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…
New N=2 SuperBMS algebra and Invariant Dual Theory for 3D Supergravity
Nabamita Banerjee, Arindam Bhattacharjee, Neetu +1
We have constructed a two dimensional theory dual to 3D asymptotically flat Supergravity in presence of two supercharges with(out) internal symmetry. The duals in both the case…
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…