We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: A gravity/spin-model correspondence

Presented by Umut Gursoy, CERN

25 November 2010 13:00 in CM101 (note: non-standard day!)

We propose a general correspondence between gravity and spin models, inspired by the well-known IR equivalence between lattice gauge theories and the spin models. This suggests a connection between continuous type Hawking-phase transitions in gravity and the continuous order-disorder transitions in
ferromagnets. The black-hole phase corresponds to the ordered and the graviton gas corresponds to the disordered phases respectively. A
simple set-up based on Einstein-dilaton gravity indicates that the
vicinity of the phase transition is governed by a linear-dilaton CFT.
Employing this CFT we calculate scaling of observables near T_c, and obtain mean-field scaling in a semi-classical approximation. In case of the XY model the Goldstone mode is identified with the zero mode of the NS-NS two-form. One can show that the second speed of sound vanishes at the transition also with the mean field exponent.

Contact or for more information