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Finite temperature effects in the supergravity dual of the N = 1* gauge theory

2000/07/31 by Daniel Z. Freedman, Daniel Z Freedman, Joseph A. Minahan +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/01/036

published as JHEP 0101:036,2001 · 32 pages, revtex 3.0; v2, references added, factors of 2 corrected, including an overall factor of 4 in the entropy computation

arxiv created 2000/08/21 · openalex publication_date 2001/01/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

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>>rH persist for a range of temperatures. Thermal effects on the 3-form source for the hypermultiplet mass m and its order m2 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 m2 suggesting that there is a critical temperature separating the system into high and low temperature phases. In the high temperature phase 5-branes are unnecessary since there are no naked singularities. Using the order m2 correction to the horizon area we calculate the correction to the entropy to be ΔS =-0.1714N2m2T, which is less than the free field result.

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