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  Light-Front Bootstrap for Chern-Simons Matter Theories

Skvortsov, E. (in preparation). Light-Front Bootstrap for Chern-Simons Matter Theories.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-AF5F-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-FA22-E
Genre: Paper

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1811.12333.pdf (Preprint), 302KB
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 Creators:
Skvortsov, Evgeny1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We propose a new approach to solve conformal field theories and apply it to Chern-Simons Matter theories and three-dimensional bosonization duality. All three-point correlation functions of single-trace operators are obtained in the large-$N$ as a simple application. The idea is to construct, as an effective theory, a nonlinear realization of the conformal algebra in terms of physical, gauge-invariant, operators. The efficiency of the method is also in the use of an analog of the light-cone gauge and of the momentum-space on the CFT side. AdS/CFT is used as a convenient regulator and as a source of the canonical bracket. The uniqueness of the nonlinear realization manifests the three-dimensional bosonization duality at this order. We also find two more non-unitary solutions which should be analogous to the fishnet theories. The results can also be viewed as an explicit realization of the slightly-broken higher spin symmetry. As a by-product, the cubic action of the Higher Spin Gravity in $AdS_4$ is constructed. While generic Higher Spin Gravities are obstructed at higher orders by nonlocality, we point out the existence of two especially simple and well-defined theories: chiral and anti-chiral whose three-point functions correspond to the two new solutions. These two theories are supposed to give a quantum complete and local example of gravitational bulk duals.

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 Dates: 2018-11-292018-11-30
 Publication Status: Not specified
 Pages: 25 pages; typos fixed, ref added
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1811.12333
URI: http://arxiv.org/abs/1811.12333
 Degree: -

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