Backgrounds from Tensor Models: A Proposal

Abstract

Although tensor models are serious candidates for a theory of quantum gravity, a connection with classical spacetimes have been elusive so far. This paper aims to fill this gap by proposing a neat connection between tensor theory and Euclidean gravity at the classical level. The main departure from the usual approach is the use of Schur invariants (instead of monomial invariants) as manifold partners. Classical spacetime features can be identified naturally on the tensor side in this new setup. A notion of locality is shown to emerge through Ward identities, where proximity between spacetime points translates into vicinity between Young diagram corners.

33 pages

References in corpus (9)

• The 1/N expansion of colored tensor models
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• Complete solution to Gaussian tensor model and its integrable properties
• BPS states, conserved charges and centres of symmetric group algebras
• Generalized cut operation associated with higher order variation in tensor models
• Holography for Tensor models
• The Non-melonic Sector of Tensor Models and Gravity