Tensor models for black hole probes
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The infrared dynamics of the SYK model, as well as its associated tensor models, exhibit some of the non trivial features expected of a holographic dual of near extremal black holes. These include developing certain symmetries of the near horizon geometry and exhibiting maximal chaos. In this paper we present a generalization of these tensor models to include fields with fewer tensor indices and which can be thought of as describing probes in a black hole background. In large N limit, dynamics of the original model remain unaffected by the probe fields and some of the four point functions involving probe fields exhibit maximal chaos, a non trivial feature expected of a black hole probe.
Keywords1/N Expansion Black Holes in String Theory Conformal Field Theory AdSCFT Correspondence
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- A. Kitaev, KITP strings seminar and Entanglement 2015 program, http://online.kitp.ucsb.edu/online/entangled15/.