High Energy Particle/Nuclear Physics Seminars

Physics Department ' ,        U. of Illinois at Chicago

UIC-Physics M/C 273 845W. Taylor St. Rm 2236, Chicago , IL 60607-7059 USA

phone: 312-996-3400 Fax: 312-996-9016

November 9, 2009, Monday 3:30 pm Room 2214 SES. Coffee and Cookies will be served before the talk

Abstract from arXiv:0902.1385

Non-relativistic versions of the AdS/CFT conjecture have recently been investigated in some detail. These have primarily been in the context of the Schrodinger symmetry group. Here we initiate a study based on a different non-relativistic conformal symmetry: one obtained by a parametric contraction of the relativistic conformal group. The resulting Galilean conformal symmetry has the same number of generators as the relativistic symmetry group and thus is different from the Schrodinger group (which has fewer). One of the interesting features of the Galilean Conformal Algebra is that it admits an extension to an {\it infinite} dimensional symmetry algebra (which can potentially be dynamically realised). The latter contains a Virasoro-Kac-Moody subalgebra. We comment on realisations of this extended symmetry in a boundary field theory. We also propose a somewhat unusual geometric structure for the bulk gravity dual to any realisation of this symmetry. This involves taking a Newton-Cartan like limit of Einstein's equations in anti de Sitter space which singles out an AdS₂ comprising of the time and radial direction. The infinite dimensional Virasoro extension is identified with the asymptotic isometries of this AdS₂.

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