Coset Construction for Duals of Non-relativistic CFTs

Details Coset Construction for Duals of Non-relativistic CFTs Coset Construction for Duals of Non-relativistic CFTs

2009-03-25

arxiv.org/abs/0903.4245v2

JHEP 0905:038,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; v2: typos corrected, references added

Scientific paper

10.1088/1126-6708/2009/05/038

We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the Schrodinger group and variants thereof. These cosets G/H are generically non-reductive and we discuss in generality how a metric on such spaces can be determined from a non-degenerate H-invariant symmetric two-form. Applying this to the d=2 Schrodinger algebra, we reproduce the five-dimensional backgrounds proposed as duals of fermions at unitarity, and under reasonable physical assumptions, we demonstrate uniqueness of this background. The proposed gravity dual of the Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into this organizational scheme and uniqueness of this background can also be shown.

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