MS Seminar (Mathematics - String Theory)

Speaker: Mitsutoshi Fujita (IPMU)
Title: Geometric entropy and confinement/deconfinement transition in d=4 QCD like theories
Date: Tue, Apr 19, 2011, 13:15 - 14:45
Place: Seminar Room A
Related File: 452.pdf
Abstract: It has recently been proposed that the entanglement entropy can be an order parameter of confinement/deconfinement transitions. To find a clear evidence, we introduce a new quantity called the geometric entropy, which is related to the entanglement entropy via a double Wick rotation. We analyze the geometric entropy and manifestly show that its value becomes discontinuous at the Hagedorn temperature both in the free d=4 N =4 super Yang-Mills on S1 x S3 and in its supergravity dual. We also analyze the phase structure of the free d=4 N=2 SYM theory with flavor on S1 x S3 by using geometric entropy as an order parameter.