The large N limit of M2-branes on Lens spaces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-10

AUTHORS

Luis F. Alday, Martin Fluder, James Sparks

ABSTRACT

We study the matrix model for N M2-branes wrapping a Lens space . This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over flat connections and a potential that depends non-trivially on p. We study the matrix model both numerically and analytically in the large N limit, finding that a certain family of p flat connections give an equal dominant contribution. At large N we find the same eigenvalue distribution for all p, and show that the free energy is simply 1/p times the free energy on a three-sphere, in agreement with gravity dual expectations. More... »

PAGES

57

References to SciGraph publications

  • 2011-09. From Weak to Strong Coupling in ABJM Theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2010-03. Exact results for Wilson loops in superconformal Chern-Simons theories with matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-07. Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2008-10-23. 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-03. Notes on SUSY gauge theories on three-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-08. Cohomological localization of Chern-Simons theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05. SUSY gauge theories on squashed three-spheres in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05. The exact superconformal R-symmetry extremizes Z in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep10(2012)057

    DOI

    http://dx.doi.org/10.1007/jhep10(2012)057

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