Letters in High Energy Physics (Sep 2021)

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

  • Muhammad Nouman Muteeb

DOI
https://doi.org/10.31526/lhep.2021.202
Journal volume & issue
Vol. 2021, no. 1

Abstract

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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.

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