期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2017)095
关键词
AdS-CFT Correspondence; Black Holes in String Theory; D-branes; Matrix Models
资金
- AMIAS
- NSF
- Natural Sciences and Engineering Research Council of Canada
- Simons Foundation [376206]
- Swiss National Science Foundation [200020-169696]
- Sinergia network [CRSII2-160814]
- STFC [ST/P000258/1] Funding Source: UKRI
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, 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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