PlumX Metrics
Embed PlumX Metrics

On half-BPS states of the ABJM theory

Journal of High Energy Physics, ISSN: 1126-6708, Vol: 2009, Issue: 8, Page: 073-073
2009
  • 26
    Citations
  • 0
    Usage
  • 11
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    26
    • Citation Indexes
      26
  • Captures
    11

Article Description

We analyze SU(2) invariant half-BPS states of the 3d, = 8 or = 6 SCFT within the radial quantization of the ABJM theory [1], the theory proposed to describe N M2-branes in the R × /Z 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 limit, arise from the plane-wave (BMN) Matrix theory as well as the 11 dimensional LLM bubbling geometries [2], providing supportive evidence for the ABJM theory and/or the Matrix model. © SISSA 2009.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know