2022/12/14 by Dedushenko, Mykola, Litvinov, Mikhail
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2212.07455
We study three-dimensional quantum field theories on the interval with symmetry-preserving boundary conditions. The physics and symmetries of the effective 2D theory in the IR are the main subjects of this note. We focus on the (super-)Yang-Mills-Chern-Simons (YM-CS) theories with the Dirichlet boundary conditions on both ends. We warm up with the N=0 and N=1 cases flowing to the bosonic and N=(0,1) WZW models in 2D. Then we study the 3D N=2 YM-CS on the interval with the N=(0,2) Dirichlet boundaries. It flows to a non-compact version of the N=(0,2) WZW. We compute its perturbatively exact two-derivative effective action (i.e., the metric and the B-field), and speculate on the possibility of novel non-perturbative effects. We also construct the 2D Landau-Ginzburg models flowing to the similar sigma models.