Tensor Models for Black Hole Probes

Abstract

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 the four point functions of the probe fields exhibit maximal chaos, a non trivial feature expected of a black hole probe. Interestingly probe primaries have the same dimensions as primaries of the original fields.

32 pages, 12 figures

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Cited by in corpus (9)

• Three Dimensional View of Arbitrary $q$ SYK models
• 2PI effective action for the SYK model and tensor field theories
• The $1/N$ expansion of the symmetric traceless and the antisymmetric tensor models in rank three
• Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions
• Conformal Symmetry and Composite Operators in the $O(N{)}^3$ Tensor Field Theory
• Complete Solution of a Gauged Tensor Model
• Sextic tensor model in rank $3$ at next-to-leading order
• Sextic tensor field theories in rank $3$ and $5$
• Melonic large $N$ limit of $5$-index irreducible random tensors