English

Thermal Correlators and Bosonization Dualities in Large $N$ Chern Simons Matter Theories

High Energy Physics - Theory 2022-08-05 v2

Abstract

We consider 33-dimensional conformal field theories with U(N)κU(N)_{\kappa} Chern Simons gauge fields coupled to bosonic and fermionic matter fields transforming in the fundamental representation of the gauge group. In these CFTs, we compute in the t'Hooft large NN limit and to all orders in the t'Hooft coupling λ=N/κ\lambda= N/ \kappa, the thermal two-point correlation functions of the spin s=0s=0, s=1s=1 and s=2s=2 gauge invariant conformal primary operators. These are the lowest dimension single trace scalar, the U(1)U(1) current and the stress tensor operators respectively. Our results furnish additional tests of the conjectured bosonization dualities in these theories at finite temperature.

Keywords

Cite

@article{arxiv.1912.06589,
  title  = {Thermal Correlators and Bosonization Dualities in Large $N$ Chern Simons Matter Theories},
  author = {Sudip Ghosh and Subhajit Mazumdar},
  journal= {arXiv preprint arXiv:1912.06589},
  year   = {2022}
}

Comments

64 Pages, 13 Figures, reference added, minor changes