Domain walls and M2-branes partition functions: M-theory and ABJM Theory

Abstract

We study the BPS counting functions (free energies) of the M-string configurations. We consider separated M5-branes along with M2-branes stretched between them, with M5-branes acting as domain walls interpolating different configurations of M2-branes. We find recursive structure in the free energies of these configurations. The M-string degrees of freedom on the domain walls are interpreted in terms of a pair of interacting supersymmetric WZW models. We also compute the elliptic genus of the M-string in a toy model of the ABJM theory and compare it with the M-theory computation.

arXiv commentsome clarifications added in sections 1 and 2, more examples of mixed partitions included in subsection 2.3, expanded discussion of gauged WZW model in section 3, eq.47 expressed in terms of the open topological string wavefunctions in eq.61, discussion on boundary conditions added in section 4

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