No chiral truncation of quantum log gravity?

Details No chiral truncation of quantum log gravity? No chiral truncation of quantum log gravity?

2009-09-03

arxiv.org/abs/0909.0727v2

JHEP 1003:029,2010

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figures, references added

Scientific paper

10.1007/JHEP03(2010)029

At the classical level, chiral gravity may be constructed as a consistent truncation of a larger theory called log gravity by requiring that left-moving charges vanish. In turn, log gravity is the limit of topologically massive gravity (TMG) at a special value of the coupling (the chiral point). We study the situation at the level of linearized quantum fields, focussing on a unitary quantization. While the TMG Hilbert space is continuous at the chiral point, the left-moving Virasoro generators become ill-defined and cannot be used to define a chiral truncation. In a sense, the left-moving asymptotic symmetries are spontaneously broken at the chiral point. In contrast, in a non-unitary quantization of TMG, both the Hilbert space and charges are continuous at the chiral point and define a unitary theory of chiral gravity at the linearized level.

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