2009/08/31 by Changhyun Ahn, Kyungsung Woo
Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Field theory (psychology) #Gauge (firearms) #Gauge theory #Lift (data mining) #Orbifold #Product (mathematics) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Supergravity #Superpotential #hep-th
paper · pdf · doi:10.1088/0264-9381/27/3/035009
published as Class.Quant.Grav.27:035009,2010 · 32pp; Some parts of section 2 moved to a new Appendix A, the arguments of supergravity fields in section 3 removed, one sentence after (2.15) added,the acknowledgments added and to appear in CQG
arxiv created 2009/12/16 · openalex publication_date 2010/01/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Corrado, Pilch and Warner found in 2001 the second 11-dimensional solution where the deformed geometry of S 7 in the lift contains S 2 × S 2 . We identify the gauge dual of this background with the theory described by Franco, Klebanov and Rodriguez-Gomez recently. It is the U ( N ) × U ( N ) × U ( N ) gauge theory with two SU (2) doublet chiral fields B 1 transforming in the , B 2 transforming in the , C 1 in the and C 2 in the as well as an adjoint field Φ in the ( 1 , adj , 1 ) representation. By adding the mass term for adjoint field Φ, the detailed correspondence between fields of AdS 4 supergravity and composite operators of the IR field theory is determined. Moreover, we compute the spin-2 KK modes around a warped product of AdS 4 and a squashed and stretched seven-manifold. This background with global SU (2) × SU (2) × U (1) R symmetry is related to a U ( N ) × U ( N ) × U ( N ) superconformal Chern–Simons matter theory with eighth-order superpotential and Chern–Simons level (1, 1, −2). The mass-squared in AdS 4 depends on SU (2) × SU (2) × U (1) R quantum numbers and the KK excitation number. The dimensions of spin-2 operators are found.