Marginal deformations \& rotating horizons

DOI10.1007/JHEP12(2017)095zbMATH Open1383.81175arXiv1707.03380WikidataQ112153931 ScholiaQ112153931MaRDI QIDQ1707753

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Publication date: 3 April 2018

Published in: (Search for Journal in Brave)

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 $SL(2,mathbbR)$ 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.

Full work available at URL: https://arxiv.org/abs/1707.03380

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