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Towards a finite-N hologram

Krishnan, Chethan and Kumar, K V Pavan (2017) Towards a finite-N hologram. In: JOURNAL OF HIGH ENERGY PHYSICS (10).

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Official URL: http://doi.org/10.1007/JHEP10(2017)099

Abstract

We suggest that holographic tensor models related to SYK are viable candidates for exactly (ie., non-perturbatively in N) solvable holographic theories. The reason is that in these theories, the Hilbert space is a spinor representation, and the Hamiltonian (at least in some classes) can be arranged to commute with the Clifford level. This makes the theory solvable level by level. We demonstrate this for the specific case of the uncolored O(n)(3) tensor model with arbitrary even n, and reduce the question of determining the spectrum and eigenstates to an algebraic equation relating Young tableaux. Solving this reduced problem is conceptually trivial and amounts to matching the representations on either side, as we demonstrate explicitly at low levels. At high levels, representations become bigger, but should still be tractable. None of our arguments require any supersymmetry.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 03 Nov 2017 10:55
Last Modified: 03 Nov 2017 10:55
URI: http://eprints.iisc.ac.in/id/eprint/58153

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