Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory

Steven S. Gubser; Igor R. Klebanov

doi:10.1103/PhysRevD.58.125025

paper

Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory

arXiv:hep-th/9808075 · doi:10.1103/PhysRevD.58.125025

Abstract

Coincident D3-branes placed at a conical singularity are related to string theory on $A d S_{5} \times X_{5}$ , for a suitable five-dimensional Einstein manifold $X_{5}$ . For the example of the conifold, which leads to $X_{5} = T^{1, 1} = (S U (2) \times S U (2)) / U (1)$ , the infrared limit of the theory on $N$ D3-branes was constructed recently. This is $N = 1$ supersymmetric $S U (N) \times S U (N)$ gauge theory coupled to four bifundamental chiral superfields and supplemented by a quartic superpotential which becomes marginal in the infrared. In this paper we consider D3-branes wrapped over the 3-cycles of $T^{1, 1}$ and identify them with baryon-like chiral operators built out of products of $N$ chiral superfields. The supergravity calculation of the dimensions of such operators agrees with field theory. We also study the D5-brane wrapped over a 2-cycle of $T^{1, 1}$ , which acts as a domain wall in $A d S_{5}$ . We argue that upon crossing it the gauge group changes to $S U (N) \times S U (N + 1)$ . This suggests a construction of supergravity duals of $N = 1$ supersymmetric $S U (N_{1}) \times S U (N_{2})$ gauge theories.

14 pages, latex; v2: discussion at the end of section 3 modified, the version to appear in Physical Review D

Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory

Abstract

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