Topologically Massive Gravity at the Chiral Point is Not Unitary

Details Topologically Massive Gravity at the Chiral Point is Not Unitary Topologically Massive Gravity at the Chiral Point is Not Unitary

2008-07-29

arxiv.org/abs/0807.4703v2

JHEP 0810:045,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. v2 equations corrected, discussion added

Scientific paper

10.1088/1126-6708/2008/10/045

A recent paper [arXiv:0801.4566] claims that topologically massive gravity contains only chiral boundary excitations at a particular value of the Chern-Simons coupling. On the other hand, propagating bulk degrees of freedom were found even at the chiral point in [arXiv:0803.3998]. The two references use very different methods, making comparison of their respective claims difficult. In this letter, we use the method of [arXiv:0801.4566] to construct a tower of propagating bulk states satisfying standard AdS boundary conditions. Our states have finite norm, with sign opposite to that of right-moving boundary excitations. Our results thus agree with [arXiv:0803.3998] and disagree with [arXiv:0801.4566].

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