Abstract
We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into TT¯-deformations (at least) under certain conditions, where T means the energy-momentum tensor of the matter field coupled to a dilaton gravity. In particular, the class of theories under this condition includes a Jackiw-Teitelboim (JT) theory with a negative cosmological constant including conformal matter fields. This is a generalization of the preceding work on the flat-space JT gravity by S. Dubovsky, V. Gorbenko and M. Mirbabayi [arXiv:1706.06604].
Highlights
A significant subject is to study integrable deformations of 2D integrable quantum field theories (IQFTs) like sine-Gordon models and O(N) vector models.1 An example that has been investigated vigorously in recent years is specified by the energy-momentum tensor T and often called the T T -deformation [1,2]
It has been shown that at least under some conditions the perturbations can be regarded as T T -deformations of the original matter action
We have discussed the gravitational perturbation in the case of the JT gravity including a negative cosmological constant
Summary
A significant subject is to study integrable deformations of 2D integrable quantum field theories (IQFTs) like sine-Gordon models and O(N) vector models. An example that has been investigated vigorously in recent years is specified by the energy-momentum tensor T and often called the T T -deformation [1,2]. The matter theory gets a gravitational dressing factor in front of the S-matrix due to the perturbation This result indicates that the (classical) gravitational perturbation can be seen as a non-perturbative quantum effect to the matter sector, and the deformation effect can be computed rigorously while the S-matrix of the original theory cannot be evaluated exactly in general. This intriguing result has been shown only in the flat-space JT gravity with a simple dilaton potential. The class of theories under this condition includes a JT gravity with a negative cosmological constant with conformal matter fields This is a generalization of the work [9] and has potential applications in the context of the.
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