2d SCFTs from M2-branes

Abstract

We consider the low-energy limit of the two-dimensional theory on k M2-branes suspended between a straight M5-brane and a curved M5-brane. We argue that it is described by an N=(2,2) supersymmetric gauge theory with no matter fields but with a non-trivial twisted superpotential, and also by an N=(2,2) supersymmetric Landau-Ginzburg model, such that the (twisted) superpotentials are determined by the shape of the M5-branes. We find particular cases realize Kazama-Suzuki models. Evidence is provided by the study of ground states, chiral rings, BPS spectra and S^2 partition functions of the systems.

27 pages, 48 color figures; v2: several minor changes

References in corpus (3)

• Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
• Superconformal Vortex Strings
• Exact results for boundaries and domain walls in 2d supersymmetric theories

Cited by in corpus (14)

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• ADE Spectral Networks and Decoupling Limits of Surface Defects
• Surface Operators from M-strings
• Spectral networks and Fenchel-Nielsen coordinates
• An infrared bootstrap of the Schur index with surface defects
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs