N=2 SCFT and M theory on AdS(4) x Q(1,1,1)

Aug, 1999
14 pages
Published in:
  • Phys.Lett.B 466 (1999) 171-180
e-Print:

Citations per year

19992003200720112014012345
Abstract:
Coincident M2 branes at a conical singularity are related to M theory on AdS_4 x X_7 for an appropriate 7 dimensional Sasaki-Einstein manifold X_7. For X_7=Q^{1,1,1}=(SU(2) x SU(2) x SU(2))/(U(1) x U(1)) which was found sometime ago, the infrared limit of the theory on N M2 branes was constructed recently. It is the SU(N) x SU(N) x SU(N) gauge theories with three series of chiral fields A_i, i=1,2 transforming in the (N, \bar{N},1) representation, B_j, j=1,2 transforming in the (1,N, \bar{N}) representation and C_k, k=1,2 transforming in the (\bar{N},1,N) representation. From the scalar Laplacian of X_7 on the supergravity side, we discuss the spectrum of chiral primary operators of dual N=2 superconformal field theory in 3 dimensions. We study M5 branes wrapped over 5-cycle of X_7 which were identified as (three types of) baryon like operators made out of N chiral fields recently. We consider M5 brane wrapped over 3-cycle of X_7 which plays the role of domain wall in AdS_4. The new aspect arises when baryon like operators(M5 branes wrapped over 5-cycle) cross a domain wall(M5 brane wrapped over 3-cycle), M2 brane between them must be created.
Note:
  • 15 pages, latex, no figures
  • M-theory
  • dimension: 11
  • field theory: anti-de Sitter
  • membrane model
  • field theory: conformal
  • supersymmetry
  • gauge field theory: SU(N)**3
  • coset space: SU(2)**3/U(1)**2
  • domain wall
  • group theory: representation