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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.
DOI(Published Version): 10.1007/JHEP04(2020)127
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