2023/07/20 by Minwalla, Shiraz, Nath, Souparna, Tanwar, Nikhil +1
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2307.11020
Most of the computational evidence for the Bose\unicodex2013Fermi duality of fundamental fields coupled to U(N) Chern\unicodex2013Simons theories originates in large-N calculations performed in the light-cone gauge. This gauge is ill-suited to computations in curved spacetimes, like the evaluation of the partition function on Σg× S1 for arbitrary genus g. In this paper, we use another gauge, the 'temporal' gauge, to set up the computation of this partition function. In the large-N limit, and the special case Σg=ℝ2, we take the computation through to the end by setting up and solving the gap equations, generalizing tricks explored in arXiv:1410.0558 to finite temperature. Our final results are in perfect agreement with earlier light-cone gauge results, providing a consistency check of both the formalism developed in this paper as well as previously performed light-cone gauge computations. In a follow-up paper, we will report on using our formalism to explicitly compute the partition function on S2 × S1 for a finite-sized sphere.