# Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions

@inproceedings{BabaeiAghbolagh2022MarginalD, title={Marginal \$T\bar\{T\}\$-Like Deformation and ModMax Theories in Two Dimensions}, author={H. Babaei-Aghbolagh and Komeil Babaei Velni and Davood Mahdavian Yekta and Hosein Mohammadzadeh}, year={2022} }

Recently, the ModMax theory has been proposed as a unique conformal non-linear extension of electrodynamic theories. We have shown in [1] that this modiﬁcation can be reproduced by using a marginal T ¯ T -like deformation from pure Maxwell theory. Further, it was shown that this deformation is solvable by applying a perturbative approach. In this paper, we will investigate a similar marginal T ¯ T -like deformation for a general two-dimensional scalar ﬁeld theory. It is shown that employing an…

## 7 Citations

### $\sqrt{T\bar{T}}$-deformed oscillator inspired by ModMax

- Mathematics, Physics
- 2022

Inspired by a recently proposed Duality and Conformal invariant modiﬁcation of Maxwell theory (ModMaX), we construct a one-parameter family of two-dimensional dynamical system in classical mechanics…

### On the Classical Integrability of Root- T T Flows

- Mathematics
- 2022

: The Root- T T ﬂow was recently introduced as a universal and classically marginal deformation of any two-dimensional translation-invariant ﬁeld theory. The ﬂow commutes with the (irrelevant) T T…

### T T -deformed oscillator inspired by ModMax

- Mathematics
- 2023

Inspired by a recently proposed Duality and Conformal invariant modiﬁcation of Maxwell theory (ModMax), we construct a one-parameter family of two-dimensional dynamical systems in classical mechanics…

### On the Classical Integrability of Root-$T \overline{T}$ Flows

- Mathematics
- 2022

The Root-$T \overline{T}$ flow was recently introduced as a universal and classically marginal deformation of any two-dimensional translation-invariant field theory. The flow commutes with the…

### Nonlinear automorphism of the conformal algebra in 2D and continuous $$ \sqrt{T\overline{T}} $$ deformations

- MathematicsJournal of High Energy Physics
- 2022

Abstract
The conformal algebra in 2D (Diff(S1)⨁Diff(S1)) is shown to be preserved under a nonlinear map that mixes both chiral (holomorphic) generators T and $$ \overline{T} $$
T
¯
. It…

### Manifestly SL(2, R) Duality-Symmetric Forms in ModMax Theory

- MathematicsJournal of High Energy Physics
- 2022

In this paper, we will investigate a manifestly SL(2, R)-invariant structure for the energy-momentum tensor of ModMax theory as a nonlinear modification of Maxwell electrodynamics which includes…

### T T ¯ $$ T\overline{T} $$ flow as characteristic flows

- MathematicsJournal of High Energy Physics
- 2023

We show that method of characteristics provides a powerful new point of view on T T ¯ $$ T\overline{T} $$ -and related deformations. Previously, the method of characteristics has been applied to T T…

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In this paper, we investigate the correlation functions of the conformal field theory (CFT) with the $T\bar{T}$ deformation on torus in terms of perturbative CFT approach, which is the extension of…

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Motivated by $T\bar T$, we introduce and study a wide class of solvable deformations of quantum-mechanical theories. These deformations map the Hamiltonian to a function of itself. We solve these…

### T T̄-flow effects on torus partition functions

- Physics
- 2021

: In this paper, we investigate the partition functions of conformal ﬁeld theories (CFTs) with the T ¯ T deformation on a torus in terms of the perturbative QFT approach. In Lagrangian path integral…

### Boosting to BMS

- MathematicsJournal of High Energy Physics
- 2022

Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, are intrinsically associated to null manifolds and in two dimensions can be obtained as an Inönü-Wigner contraction…