Friday, April 1 2022
11:30 - 13:00

IMSc Webinar

A Hilbert space for large N Chern-Simons matter theories

Naveen Prabhakar


Chern-Simons theories in three dimensions coupled to vector-like matter are exactly solvable in the large N limit. This led to the discovery of `bosonisation' in three dimensions wherein a Chern-Simons gauged fermion is dual to a Chern-Simons gauged boson with levels and ranks interchanged. The coupling of Chern-Simons gauge theory to bosons and fermions modifies the spin and the statistics of the matter excitations.

Recently, the occupation number distribution of such Chern-Simons coupled matter was computed in the large N limit and was found to be a one-parameter interpolation between Fermi-Dirac and Bose-Einstein statistics. Subsequently, this modification of the statistics was understood in terms of an exclusion principle for bosons that arises due to the coupling to Chern-Simons gauge theory. We shall begin with a pedagogical introduction to quantization of Chern-Simons theory and the relation to chiral WZW models, and briefly discuss the recent developments in Chern-Simons matter theories described above.

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