A Lagrangian for self-dual strings

Abstract

We propose a Lagrangian for the low-energy theory that resides at the (1+1)-dimensional intersection of N semi-infinite M2-branes ending orthogonally on M M5-branes in ${\mathbb{R}}^{1,2}\times {\mathbb{C}}^4/{\mathbb{Z}}_k$ (for arbitrary positive integers N,M,k). We formulate this theory as a 2d boundary theory with explicit $\mathcal{N}=(1,1)$ supersymmetry that contains two superfields in the bi-fundamental representation of $U(N)\times U(M)$ interacting with the (2+1)-dimensional $U(N{)}_k\times U(N{)}_{-k}$ ABJM Chern-Simons-matter theory in the bulk. We postulate that the boundary theory exhibits in the deep infrared supersymmetry enhancement to $\mathcal{N}=(4,2)$, or $\mathcal{N}=(4,4)$ depending on the value of k. Arguments in favor of the proposal follow from the study of the open string theory of a U-dual type IIB Hanany-Witten setup. To formulate the bulk-boundary interactions special care is taken to incorporate all the expected boundary effects on gauge symmetry, supersymmetry, and other global symmetries.

22 pages, 1 figure

References in corpus (6)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Supersymmetry enhancement by monopole operators
• Boundary Conditions for Interacting Membranes
• Strings ending on branes from supergravity
• Self-dual Strings and 2D SYM
• The black M2-M5 ring intersection spins

Cited by in corpus (4)

• $\mathcal{N}=2$ supersymmetric field theories on 3-manifolds with A-type boundaries
• Topological M-Strings and Supergroup WZW Models
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Mock Modular Index of M2-M5 Brane System