Matrix Description of Intersecting M5 Branes

Abstract

Novel 3+1 dimensional N=2 superconformal field theories (with tensionless BPS string solitons) are believed to arise when two sets of M5 branes intersect over a 3+1 dimensional hyperplane. We derive a DLCQ description of these theories as supersymmetric quantum mechanics on the Higgs branch of suitable 4d N=1 supersymmetric gauge theories. Our formulation allows us to determine the scaling dimensions of certain chiral primary operators in the conformal field theories. We also discuss general criteria for quantum mechanical DLCQ descriptions of supersymmetric field theories (and the resulting multiplicities and scaling dimensions of chiral primary operators).

24 pages, 2 figures, latex 2.09

References in corpus (4)

• Why is the Matrix Model Correct?
• Compactification in the Lightlike Limit
• New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries
• E_8 x E_8 Small Instantons in Matrix Theory

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