A local induced action for the noncritical string

Details A local induced action for the noncritical string A local induced action for the noncritical string

2011-06-07

arxiv.org/abs/1106.1460v2

Class. Quantum Grav. 29 (2012) 095021

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures, as published

Scientific paper

10.1088/0264-9381/29/9/095021

We present an alternative to Polyakov's induced action for the noncritical string. Our Yang-Mills like action is both local and invariant under coordinate transformations. It defines a teleparallel theory of gravity with interesting links to Horava-Lifshitz and Einstein-aether theories. It is of Liouville type in the conformal gauge while, remarkably, in the proper-time gauge it gives an effective action familiar from the Causal Dynamical Triangulation (CDT) approach to 2d quantum gravity. In the latter gauge the effective action is especially interesting since its quantization is known to reduce to a quantum mechanical model.

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