Finite Temperature Effects in the Supergravity Dual of the N=1* Gauge Theory

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  • 31 July 2000
Abstract
We consider the supergravity dual of the N=1* theory at finite temperature by applying the Polchinski-Strassler construction to the black D3 brane solution of Type IIB supergravity. At finite temperature the 5-brane probe action is minimized when the probe falls to the horizon, although metastable minima with r>>r_H persist for a range of temperatures. Thermal effects on the 3-form source for the hypermultiplet mass m and its order m^2 back reaction on the other fields of the IIB theory are computed. We find unique solutions which are regular at the horizon and have the correct behavior on the boundary. For fixed temperature T, the horizon shrinks for increasing m^2 suggesting that there is a critical temperature separating the system into high and low temperature phases. In the high temperature phase 5-branes are unnnecessary since there are no naked singularities. Using the order m^2 correction to the horizon area we calculate the entropy change to be \Delta S=-.6854m^2T, which is 91% of the free field result.

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