A massive study of M2-brane proposals

Jaume Gomis, Diego Rodríguez-Gómez, Mark Van Raamsdonk, Herman Verlinde

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125 Scopus citations

Abstract

We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes: that there should be a set of discrete vacua in one-to-one correspondence with partitions on N. For the mass-deformed Lorentzian three-algebra theory, we find only a single classical vacuum, casting doubt on its M2-brane interpretation. For the mass-deformed ABJM theory, we do find a discrete set of solutions, but these are more numerous than predicted. We discuss possible resolutions of this puzzling discrepancy. We argue that the classical vacuum solutions of the mass-deformed ABJM theory display properties of fuzzy three-spheres, as expected from their gravitational dual interpretation.

Original languageEnglish (US)
Article number113
JournalJournal of High Energy Physics
Volume2008
Issue number9
DOIs
StatePublished - Sep 1 2008

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Gauge-gravity correspondence
  • Supersymmetric gauge theory

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