Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-10-17
JHEP0603:069,2006
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, Latex, 2 figures. v2: References added. v3: small typos corrected, published version
Scientific paper
10.1088/1126-6708/2006/03/069
Supergravity backgrounds dual to a class of exactly marginal deformations of N supersymmetric Yang-Mills can be constructed through an SL(2,R) sequence of T-dualities and coordinate shifts. We apply this transformation to multicenter solutions and derive supergravity backgrounds describing the Coulomb branch of N=1 theories at strong 't Hooft coupling as marginal deformations of N=4 Yang-Mills. For concreteness we concentrate to cases with an SO(4)xSO(2) symmetry preserved by continuous distributions of D3-branes on a disc and on a three-dimensional spherical shell. We compute the expectation value of the Wilson loop operator and confirm the Coulombic behaviour of the heavy quark-antiquark potential in the conformal case. When the vev is turned on we find situations where a complete screening of the potential arises, as well as a confining regime where a linear or a logarithmic potential prevails depending on the ratio of the quark-antiquark separation to the typical vev scale. The spectra of massless excitations on these backgrounds are analyzed by turning the associated differential equations into Schrodinger problems. We find explicit solutions taking into account the entire tower of states related to the reduction of type-IIB supergravity to five dimensions, and hence we go beyond the s-wave approximation that has been considered before for the undeformed case. Arbitrary values of the deformation parameter give rise to the Heun differential equation and the related Inozemtsev integrable system, via a non-standard trigonometric limit as we explicitly demonstrate.
Hernandez Rafael
Sfetsos Konstadinos
Zoakos Dimitrios
No associations
LandOfFree
Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-228922