A pedagogical review on solvable irrelevant deformations of 2D quantum field theory

We study perturbative renormalization of the composite operators in the $$ T\overline{T} $$ T T ¯ -deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases. While in the latter case the canonical stress tensor is not renormalized up to high order in the perturbative expansion, in the massive theory there are induced counterterms at linear order. For a massless theory our results match the general formula derived recently in [1].

Section: Jhep06(2021)006mentioning

confidence: 99%

Composite operators in $$ T\overline{T} $$-deformed free QFTs

Dey

Goykhman

Smolkin

2021

“…On the contrary, for negative coupling, the spectrum develops complex energy levels at a given scale, and a suitable UV completion is still an open question. See [7] for a pedagogical review. This deformation has opened new avenues in the study of quantum gravity.…”

Section: Jhep05(2021)248mentioning

confidence: 99%

“…Notice that these solutions are labeled by two parameters, namely the jump in flux δN 5 and the gluing position y i . 7 Here these parameters are free and may take any values that do not lead to problematic features, such as a naked singularity. We will fix their values at the end by matching to the background (3.10) in the IR.…”

Section: Gluing To a Linear Dilaton Backgroundmentioning

confidence: 99%

A substrate for brane shells from $$ T\overline{T} $$

Damia

Anderson

Coleman

2021

A solvable current-current deformation of the worldsheet theory of strings on AdS3 has been recently conjectured to be dual to an irrelevant deformation of the spacetime orbifold CFT, commonly referred to as single-trace $$ T\overline{T} $$ T T ¯ . These deformations give rise to a family of bulk geometries which realize a non-trivial flow towards the UV. For a particular sign of this deformation, the corresponding three-dimensional geometry approaches AdS3 in the interior, but has a curvature singularity at finite radius, beyond which there are closed timelike curves. It has been suggested that this singularity is due to the presence of “negative branes,” which are exotic objects that generically change the metric signature. We propose an alternative UV-completion for geometries displaying a similar singular behavior by cutting and gluing to a regular background which approaches a linear dilaton vacuum in the UV. In the S-dual picture, a singularity resolution mechanism known as the enhançon induces this transition by the formation of a shell of D5-branes at a fixed radial position near the singularity. The solutions involving negative branes gain a new interpretation in this context.

“…Its relation to the T T deformation was pointed out in [9]. For many other aspects of T T deformed models see the lecture notes [10].…”

Section: Introductionmentioning

confidence: 99%

$$ T\overline{T} $$ deformations of non-relativistic models

Chantelle

Фролов

2021

The light-cone gauge approach to $$ T\overline{T} $$ T T ¯ deformed models is used to derive the $$ T\overline{T} $$ T T ¯ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation. Properties of one-soliton solutions of the $$ T\overline{T} $$ T T ¯ deformed nonlinear Schrödinger and Korteweg-de Vries equations are discussed in detail. The NLS soliton exhibits the recently discussed phenomenon of widening/narrowing width of particles under the $$ T\overline{T} $$ T T ¯ deformation. However, whether the soliton’s size is increasing or decreasing depends not only on the sign of the deformation parameter but also on soliton and potential parameters. The $$ T\overline{T} $$ T T ¯ deformed KdV equation admits a one-parameter family of one-soliton solutions in addition to the usual velocity parameter. The extra parameter modifies the properties of the soliton, in particular, it appears in the dispersion relation.