On Half-BPS States of the ABJM Theory

M. M. Sheikh-Jabbari, Joan Simon

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze SU(2) invariant half-BPS states of the 3d \cN=8 or \cN=6 SCFT within the radial quantization of the ABJM theory, the theory proposed to describe N M2-branes in the R^3x C^4/Z_k background. After studying the classical moduli space of these configurations, we explicitly construct a set of gauge invariant operators involving 't Hooft monopole operators corresponding to these states. We show there is a one--to--one correspondence between the two sets carrying R-charge J and that they are labeled by Young tableaux of J boxes with a maximum of N rows. Restricting the full path integral to this half-BPS sector of the theory, we show the latter is described in terms of N fermions in a 2d harmonic potential in the sector of vanishing angular momentum. The same classification, though in the N to infinity limit, arise from the plane-wave (BMN) Matrix theory as well as the 11 dimensional LLM bubbling geometries, providing supportive evidence for the ABJM theory and/or the Matrix model.
Original languageEnglish
Number of pages20
JournalJournal of High Energy Physics
Volume2009
Issue number08
DOIs
Publication statusPublished - 29 Apr 2009

Keywords

  • hep-th
  • M-Theory
  • M(atrix) Theories
  • AdS-CFT and dS-CFT Correspondence

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