M-Strings

Abstract

M2 branes suspended between adjacent parallel M5 branes lead to light strings, the `M-strings'. In this paper we compute the elliptic genus of M-strings, twisted by maximally allowed symmetries that preserve 2d (2,0) supersymmetry. In a codimension one subspace of parameters this reduces to the elliptic genus of the (4,4) supersymmetric A_{n-1} quiver theory in 2d. We contrast the elliptic genus of N M-strings with the (4,4) sigma model on the N-fold symmetric product of R^4. For N=1 they are the same, but for N>1 they are close, but not identical. Instead the elliptic genus of (4,4) N M-strings is the same as the elliptic genus of (4,0) sigma models on the N-fold symmetric product of R^4, but where the right-moving fermions couple to a modification of the tangent bundle. This construction arises from a dual A_{n-1} quiver 6d gauge theory with U(1) gauge groups. Moreover we compute the elliptic genus of domain walls which separate different numbers of M2 branes on the two sides of the wall.

75 pages, 16 figures. Minor corrections to the paper, references added

References in corpus (10)

• The Refined Topological Vertex
• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• Small Instantons, Little Strings and Free Fermions
• A Massive Study of M2-brane Proposals
• Extended Holomorphic Anomaly in Gauge Theory
• Instantons on the 5-sphere and M5-branes
• M-theory and a Topological String Duality
• Boundary Conditions for Interacting Membranes
• Superconformal Partition Functions and Non-perturbative Topological Strings
• Refined Chern-Simons Theory and Topological String

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