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arXiv · 1205.2087

Superconductors for superstrings on AdS_5 x T^{1,1}

Francesco Aprile·Andrea Borghese·Aldo Dector·Diederik Roest·Jorge G. Russo
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Abstract

We construct a one-parameter family of five-dimensional N=2 supergravity Lagrangians with an SU(2,1) / U(2) hypermultiplet. For certain values of the parameter, these are argued to describe the dynamics of scalar modes of superstrings on AdS_5 x T^{1,1}, and therefore to be dual to specific chiral primary operators of Klebanov-Witten superconformal field theory. We demonstrate that, below a critical temperature, the thermodynamics is dominated by charged black holes with hair for the scalars that are dual to the operator of lowest conformal dimension 3/2. The system thus enters into a superconducting phase where condenses.

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Francesco Aprile, Andrea Borghese, Aldo Dector, Diederik Roest, Jorge G. Russo. 2012-05-09. Superconductors for superstrings on AdS_5 x T^{1,1}. https://doi.org/10.1007/jhep08(2012)145

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