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- Title
Coset construction for duals of non-relativistic CFTs.
- Authors
Schäfer-Nameki, Sakura; Yamazaki, Masahito; Yoshida, Kentaroh
- Abstract
We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the Schrödinger 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 Schrödinger 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.
- Publication
Journal of High Energy Physics, 2009, Vol 2009, Issue 5, p038
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1088/1126-6708/2009/05/038