1998/08/31 by Steven S. Gubser, Igor R. Klebanov · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Conifold #Cosmology and Gravitation Theories #F-theory #Gauge group #Gauge theory #M-theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #String theory #Supergravity #Superpotential #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.58.125025
published as Phys. Rev. D 58, 125025 (1998) · 14 pages, latex; v2: discussion at the end of section 3 modified, the version to appear in Physical Review D
arxiv created 1998/09/21 · openalex publication_date 1998/11/20 · arxiv updated 2016/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Coincident D3-branes placed at a conical singularity are related to string theory on AdS5\ifmmode×\else\texttimes\fiX5, for a suitable five-dimensional Einstein manifold X5. For the example of the conifold, which leads to X5=T1,1=[SU(2)\ifmmode×\else\texttimes\fiSU(2)]/U(1), the infrared limit of the theory on N D3-branes was constructed recently. This is an N=1 supersymmetric SU(N)\ifmmode×\else\texttimes\fiSU(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 T1,1 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 T1,1, which acts as a domain wall in AdS5. We argue that upon crossing it the gauge group changes to SU(N)\ifmmode×\else\texttimes\fiSU(N+1). This suggests a construction of supergravity duals of N=1 supersymmetric SU(N1)\ifmmode×\else\texttimes\fiSU(N2) gauge theories.