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Title: | Large N analysis of TT¯-deformation and unavoidable negative-norm states |
Authors: | Haruna, Junichi Ishii, Takaaki Kawai, Hikaru Sakai, Katsuta Yoshida, Kentaroh |
Author's alias: | 春名, 純一 石井, 貴昭 川合, 光 酒井, 勝太 吉田, 健太郎 |
Keywords: | 2D Gravity Conformal Field Theory Field Theories in Lower Dimensions Nonperturbative Effects |
Issue Date: | 21-Apr-2020 |
Publisher: | Springer Nature |
Journal title: | Journal of High Energy Physics |
Volume: | 2020 |
Thesis number: | 127 |
Abstract: | We study non-perturbative quantum aspects of TT¯-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. |
Rights: | © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. |
URI: | http://hdl.handle.net/2433/279866 |
DOI(Published Version): | 10.1007/JHEP04(2020)127 |
Appears in Collections: | Journal Articles |

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