Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-07
JHEP 0810:072,2008
Physics
High Energy Physics
High Energy Physics - Theory
51 pages. v5: New appendix F added on simple scaling properties of thermodynamic quantities
Scientific paper
10.1088/1126-6708/2008/10/072
We consider non-relativistic conformal quantum mechanical theories that arise by doing discrete light cone quantization of field theories. If the field theory has a gravity dual, then the conformal quantum mechanical theory can have a gravity dual description in a suitable finite temperature and finite density regime. Using this we compute the thermodynamic properties of the system. We give an explicit example where we display both the conformal quantum mechanical theory as well as the gravity dual. We also discuss the string theory embedding of certain backgrounds with non-relativistic conformal symmetry that were recently discussed. Using this, we construct finite temperature and finite density solutions, with asymptotic non-relativistic conformal symmetry. In addition, we derive consistent Kaluza-Klein truncations of type IIB supergravity to a five dimensional theory with massive vector fields.
Maldacena Juan
Martelli Dario
Tachikawa Yuji
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