2022/12/30 by С. В. Алексеев, Alekseev, Sergey, Mykola Dedushenko +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum Algebra (math.QA) #Quantum Chromodynamics and Particle Interactions #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2301.00038
openalex publication_date 2022/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study chiral algebra in the reduction of 3D N = 2 supersymmetric gauge theories on an interval with the N=(0,2) Dirichlet boundary conditions on both ends. By invoking the 3D ``twisted formalism'' and the 2D βγ-description we explicitly find the perturbative Q+ cohomology of the reduced theory. It is shown that the vertex algebras of boundary operators are enhanced by the line operators. A full non-perturbative result is found in the abelian case, where the chiral algebra is given by the rank two Narain lattice VOA, and two more equivalent descriptions are provided. Conjectures and speculations on the nonperturbative answer in the non-abelian case are also given.