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تسجيل مستخدم جديدLarge N Analysis of $Tbar{T}$-deformation and Unavoidable Negative-norm States
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We study non-perturbative quantum aspects of $Tbar{T}$-deformation of a free $O(N)$ vector model by employing the large $N$ limit. It is shown that bound states of the original field appear and inevitably become negative-norm states. In particular, the bound states can be regarded as the states of the conformal mode in a gravitational theory, where the Liouville action is induced with the coefficient proportional to the minus of central charge. To make the theory positive-definite, some modification is required so as to preserve diffeomorphism invariance due to the Faddeev-Popov ghosts with a negative central charge.
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String theory on $AdS_3$ has a solvable single-trace irrelevant deformation that is closely related to $Tbar T$. For one sign of the coupling, it leads to an asymptotically linear dilaton spacetime, and a corresponding Hagedorn spectrum. For the othe
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