Mohammed Mia, Fang Chen, Keshav Dasgupta, Paul Franche, Sachindeo Vaidya
Non-extremal solution with warped resolved-deformed conifold background is
important to study the infrared limit of large N thermal QCD. Earlier works in
this direction have not taken into account all the back-reactions on the
geometry, namely from the branes, fluxes, and black-hole carefully. In the
present work we make some progress in this direction by solving explicitly the
supergravity equations of motions in the presence of the backreaction from the
black-hole. The backreactions from the branes and the fluxes on the other hand
and to the order that we study, are comparatively suppressed. Our analysis
reveal, among other things, how the resolution parameter would depend on the
horizon radius and how the RG flows of the coupling constants should be
understood in these scenarios, including their effects on the background
three-form fluxes. We also study the effect of switching on a chemical
potential in the background and, in a particularly simplified scenario, compute
the actual value of the chemical potential for our case.
View original:
http://arxiv.org/abs/1202.5321
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