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Constructing Lifshitz solutions from AdS

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Abstract

Under general assumptions, we show that a gravitational theory in d + 1 dimensions admitting an AdS solution can be reduced to a d-dimensional theory containing a Lifshitz solution with dynamical exponent z = 2. Working in a d = 4, \( \mathcal{N} = 2 \) supergravity setup, we prove that if the AdS background is \( \mathcal{N} = 2 \) supersymmetric, then the Lifshitz geometry preserves 1/4 of the supercharges, and we construct the corresponding Killing spinors. We illustrate these results in examples from supersymmetric consistent truncations of type IIB supergravity, enhancing the class of known 4-dimensional Lifshitz solutions of string theory. As a byproduct, we find a new AdS4 × S 1 × T 1,1 solution of type IIB.

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Authors and Affiliations

  1. Dipartimento di Fisica “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131, Padova, Italy

    Davide Cassani

  2. INFN, Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy

    Anton F. Faedo

Authors
  1. Davide Cassani
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  2. Anton F. Faedo
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Correspondence to Davide Cassani.

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ArXiv ePrint: 1102.5344

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Cassani, D., Faedo, A.F. Constructing Lifshitz solutions from AdS. J. High Energ. Phys. 2011, 13 (2011). https://doi.org/10.1007/JHEP05(2011)013

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