Abstract
We show that two-dimensional JT gravity, the holographic dual of the IR fixed point of the SYK model, can be obtained from the consistent Kaluza–Klein reduction of a class of EMD theories in general D dimensions. For D=4, 5, the EMD theories can be themselves embedded in supergravities. These exact embeddings provide the holographic duals in the framework of strings and M-theory. We find that a class of JT gravity solutions can be lifted to become time-dependent charged extremal black holes. They can be further lifted, for example, to describe the D1/D5-branes where the worldsheet is the Milne universe, rather than the typical Minkowski spacetime.
Highlights
The NCFT1 property is related to the fact that the bulk theory can not be Einstein gravity in D = 2 dimensions
We present an alternative exact embedding of Jackiw– Teitelboim (JT) gravity in higher dimensions
We demonstrated that JT gravity in two dimensions could be obtained from the consistent Kaluza-Klein reduction on a class of EMD theories (2.11) in general D dimensions
Summary
The theories consist of the metric, a scalar φ, and two U (1) gauge fields A and A. The EMD theories were inspired by gauged supergravities. In D = 4 and 5, the Lagrangians are the consistent truncations of the bosonic sector of the respective gauged STU models. Their embeddings in M-theory and type IIB strings via Kaluza–Klein sphere reductions were given in [59]. The Lagrangian takes the same form as (2.1), but with V given by. This allows us to set the parameter g1 and g2 to zero independently
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