Computing heavy quark-antiquark potentials within the AdS/CFT correspondence often leads to behaviors that differ from what one expects on general physical grounds and field-theory considerations. To isolate the configurations of physical interest, it is of utmost importance to examine the stability of the string solutions dual to the flux tubes between the quark and antiquark. Here, we formulate and prove several general statements concerning the perturbative stability of such string solutions, relevant for static quark-antiquark pairs in a general class of backgrounds, and we apply the results to N = 4 SYM at finite temperature and at generic points of the Coulomb branch. In all cases, the problematic regions are found to be unstable and hence physically irrelevant.
We conduct a systematic search for anomaly-free six-dimensional N = 1 chiral supergravity theories. Under a certain set of restrictions on the allowed gauge groups and the representations of the hypermultiplets, we enumerate all possible Poincaré and gauged supergravities with one tensor multiplet satisfying the 6D anomaly cancellation criteria.
We present a new anomaly-free gauged N = 1 supergravity model in six dimensions. The gauge group is E7 × G2 × U (1)R, with all hyperinos transforming in the product representation (56, 14). The theory admits monopole compactifications to R 4 × S 2 , leading to D = 4 effective theories with broken supersymmetry and massless fermions.
Following a recent proposal, we employ the AdS/CFT correspondence to compute the jet quenching parameter for N = 4 Yang-Mills theory at nonzero R-charge densities. Using as dual supergravity backgrounds non-extremal rotating branes, we find that the presence of the R-charges generically enhances the jet quenching phenomenon. However, at fixed temperature, this enhancement might or might not be a monotonically increasing function of the R-charge density and depends on the number of independent angular momenta describing the solution. We perform our analysis for the canonical as well as for the grand canonical ensemble which give qualitatively similar results.
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