Abstract
We study non-perturbative quantum aspects of \( T\overline{T} \)-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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ArXiv ePrint: 2002.01414
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Haruna, J., Ishii, T., Kawai, H. et al. Large N analysis of \( T\overline{T} \)-deformation and unavoidable negative-norm states. J. High Energ. Phys. 2020, 127 (2020). https://doi.org/10.1007/JHEP04(2020)127
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DOI: https://doi.org/10.1007/JHEP04(2020)127