Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
A line of CFTs: from generalized free fields to SYK
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abstract
We point out that there is a simple variant of the SYK model, which we call cSYK, that is $SL(2,R)$ invariant for all values of the coupling. The modification consists of replacing the UV part of the SYK action with a quadratic bilocal term. The corresponding bulk dual is a non-gravitational theory in a rigid AdS$_2$ background. At weak coupling cSYK is a generalized free field theory; at strong coupling, it approaches the infrared of SYK. The existence of this line of fixed points explains the previously found connection between the three-point function of bilinears in these two theories at large $q$.
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Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.
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Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant
Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
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Notes on Tensor Models and Tensor Field Theories
Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.