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Lifshitz spacetimes from AdS null and cosmological solutions

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Abstract

We describe solutions of 10-dimensional supergravity comprising null deformations of AdS 5 × S 5 with a scalar field, which have z = 2 Lifshitz symmetries. The bulk Lifshitz geometry in 3 + 1-dimensions arises by dimensional reduction of these solutions. The dual field theory in this case is a deformation of the \( \mathcal{N} = 4 \) super Yang-Mills theory. We discuss the holographic 2-point function of operators dual to bulk scalars. We further describe time-dependent (cosmological) solutions which have anisotropic Lifshitz scaling symmetries. We also discuss deformations of AdS × X in 11-dimensional supergravity, which are somewhat similar to the solutions above. In some cases here, we expect the field theory duals to be deformations of the Chern-Simons theories on M2-branes stacked at singularities.

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Authors and Affiliations

  1. Center for Theoretical Physics, MIT, Cambridge, Massachusetts, 02139, U.S.A.

    Koushik Balasubramanian

  2. Chennai Mathematical Institute, SIPCOT IT Park, Padur PO, Siruseri, 603103, India

    K. Narayan

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  1. Koushik Balasubramanian
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  2. K. Narayan
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Balasubramanian, K., Narayan, K. Lifshitz spacetimes from AdS null and cosmological solutions. J. High Energ. Phys. 2010, 14 (2010). https://doi.org/10.1007/JHEP08(2010)014

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