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arXiv · 1707.03380

Marginal Deformations and Rotating Horizons

Dionysios Anninos·Tarek Anous·Raffaele Tito D'Agnolo
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Abstract

Motivated by the near-horizon geometry of four-dimensional extremal black holes, we study a disordered quantum mechanical system invariant under a global $SU(2)$ symmetry. As in the Sachdev-Ye-Kitaev model, this system exhibits an approximate $SL(2,\mathbb{R})$ symmetry at low energies, but also allows for a continuous family of $SU(2)$ breaking marginal deformations. Beyond a certain critical value for the marginal coupling, the model exhibits a quantum phase transition from the gapless phase to a gapped one and we calculate the critical exponents of this transition. We also show that charged, rotating extremal black holes exhibit a transition when the angular velocity of the horizon is tuned to a certain critical value. Where possible we draw parallels between the disordered quantum mechanics and charged, rotating black holes.

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Dionysios Anninos, Tarek Anous, Raffaele Tito D'Agnolo. 2017-07-11. Marginal Deformations and Rotating Horizons. https://doi.org/10.1007/jhep12(2017)095

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