Speaker
Dr
Evgeny Skvortsov
(AEI, Potsdam)
Description
Three-dimensional bosonization duality is one of the remarkable dualities discovered recently in three-dimensional conformal field theories. At least in the large-N limit the duality is tightly linked to higher spin symmetries and, therefore, to Higher Spin Gravities that are AdS/CFT dual to these CFT's.
We propose a new approach to solve conformal field theories and apply it to the 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. 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 recently discovered fishnet theories. The gravitational dual description of these non-unitary CFT's is explicitly constructed - chiral Higher Spin Gravities. The latter theories are UV complete and give the first example of quantum consistent Higher Spin Gravities.
Primary author
Dr
Evgeny Skvortsov
(AEI, Potsdam)
