TY - JOUR
T1 - Script N sign = 2 SCFT and M theory on AdS4 ×Q1,1,1
AU - Ahn, Changhyun
PY - 1999
Y1 - 1999
N2 - Coincident M2 branes at a conical singularity are related to M theory on AdS4 × X7 for an appropriate 7 dimensional Sasaki-Einstein manifold X7. For X7 = Q1,1,1 = (SU(2) × SU(2) × SU(2)/(U(1) × 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) × SU(N) × SU(N) gauge theories with three series of chiral fields Ai,i = 1,2 transforming in the (N,N̄,1) representation, Bj,J = 1,2 transforming in the (1,N,N̄) representation and Ck,k = 1,2 transforming in the (1,N,N̄) representation. From the scalar Laplacian of X7 on the supergravity side, we discuss the spectrum of chiral primary operators of dual script N sign = 2 superconformal field theory in 3 dimensions. We study M5 branes wrapped over 5-cycle of X7 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 X7 which plays the role of domain wall in AdS4. 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.
AB - Coincident M2 branes at a conical singularity are related to M theory on AdS4 × X7 for an appropriate 7 dimensional Sasaki-Einstein manifold X7. For X7 = Q1,1,1 = (SU(2) × SU(2) × SU(2)/(U(1) × 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) × SU(N) × SU(N) gauge theories with three series of chiral fields Ai,i = 1,2 transforming in the (N,N̄,1) representation, Bj,J = 1,2 transforming in the (1,N,N̄) representation and Ck,k = 1,2 transforming in the (1,N,N̄) representation. From the scalar Laplacian of X7 on the supergravity side, we discuss the spectrum of chiral primary operators of dual script N sign = 2 superconformal field theory in 3 dimensions. We study M5 branes wrapped over 5-cycle of X7 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 X7 which plays the role of domain wall in AdS4. 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.
UR - http://www.scopus.com/inward/record.url?scp=0000172664&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(99)01129-6
DO - 10.1016/S0370-2693(99)01129-6
M3 - Article
AN - SCOPUS:0000172664
SN - 0370-2693
VL - 466
SP - 171
EP - 180
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 2-4
ER -