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Working with well known models in $(2+1)D$ we discuss the physics behind the deformation of the canonical structure of these theories. A new deformation is constructed linking the massless scalar field theory with the self-dual theory. This…

High Energy Physics - Theory · Physics 2008-11-26 J. Gamboa , L. S. Grigorio , M. S. Guimaraes , F. Mendez , C. Wotzasek

In this paper, we present our study on the $T\bar{T}$-deformation of non-relativistic complex scalar field theory. We find the closed form of the deformed Lagrangian by using the perturbation and the method of characteristics. Furthermore…

High Energy Physics - Theory · Physics 2021-07-14 Bin Chen , Jue Hou , Jia Tian

JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of $3d$ gravity. We consider $T\bar{T}$-type deformations of the $(0+1)$-dimensional…

High Energy Physics - Theory · Physics 2022-10-19 Stephen Ebert , Christian Ferko , Hao-Yu Sun , Zhengdi Sun

We study the UV dynamics of $\mu T \bar T$ deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the $\mu$ expansion by deriving an integral expression…

High Energy Physics - Theory · Physics 2018-12-26 William Cottrell , Akikazu Hashimoto

A solvable irrelevant deformation of AdS$_3$/CFT$_2$ correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by…

High Energy Physics - Theory · Physics 2018-04-04 Gaston Giribet

In this work we calculate the partition functions of $\mathcal{N}=1$ type 0A and 0B JT supergravity (SJT) on 2D surfaces of arbitrary genus with multiple finite cut-off boundaries, based on the $T\bar{T}$ deformed super-Schwarzian theories.…

High Energy Physics - Theory · Physics 2022-05-06 Song He , Hao Ouyang , Yuan Sun

We discuss the marginal $\sqrt{T\overline{T}}$ deformation of massless scalar field theories in two dimensions from a dynamical perspective. The operator flow equations for such deformations induce a particular Legendre Transformation…

High Energy Physics - Theory · Physics 2026-04-28 Aritra Banerjee , Pulastya Parekh , Robin Raj

In previous work we have shown that the (\theta->\infty)-limit of \phi^4_4-quantum field theory on noncommutative Moyal space is an exactly solvable matrix model. In this paper we translate these results to position space. We show that the…

Mathematical Physics · Physics 2013-06-13 Harald Grosse , Raimar Wulkenhaar

We consider a general (beyond $T\bar T$) deformation of the 2D $O(N+1)$ $\sigma$-model by the irrelevant dimension-four operators. The theory deformed in this most general way is not integrable, and the $S$-matrix loses its factorization…

High Energy Physics - Theory · Physics 2021-10-20 Jonas Linzen , Maxim V. Polyakov , Kirill M. Semenov-Tian-Shansky , Nika S. Sokolova

We study the large-$N$ dynamics of $T\bar{T}$-deformed two-dimensional Yang-Mills theory at genus zero. The 1/$N$-expansion of the free energy is obtained by exploiting the associated flow equation and the complete phase diagram of the…

High Energy Physics - Theory · Physics 2022-11-30 Luca Griguolo , Rodolfo Panerai , Jacopo Papalini , Domenico Seminara

We construct two-parameter families of integrable $\lambda$-deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric…

High Energy Physics - Theory · Physics 2015-09-01 Konstantinos Sfetsos , Konstantinos Siampos , Daniel C. Thompson

We show the twisted Galilean invariance of the noncommutative parameter, even in presence of space-time noncommutativity. We then obtain the deformed algebra of the Schr\"odinger field in configuration and momentum space by studying the…

High Energy Physics - Theory · Physics 2009-11-11 Biswajit Chakraborty , Sunandan Gangopadhyay , Arindam Ghosh Hazra , Frederik. G. Scholtz

In this letter we introduce a one-parameter deformation of two-dimensional quantum field theories generated by a non-analytic operator which we call Root-$T \overline{T}$. For a conformal field theory, the operator coincides with the…

High Energy Physics - Theory · Physics 2022-11-23 Christian Ferko , Alessandro Sfondrini , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We deform two-dimensional quantum field theories by antisymmetric combinations of their conserved currents that generalize Smirnov and Zamolodchikov's $T\bar{T}$ deformation. We obtain that energy levels on a circle obey a transport…

High Energy Physics - Theory · Physics 2019-03-19 Bruno Le Floch , Márk Mezei

The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension $\Delta$ equal to the…

High Energy Physics - Theory · Physics 2020-02-19 Christopher P. Herzog , Itamar Shamir

Symmetries and anomalies of a $d$-dimensional quantum field theory are often encoded in a $(d+1)$-dimensional topological action, called symmetry topological field theory (TFT). We derive the symmetry TFT for the 2-form and 1-form…

High Energy Physics - Theory · Physics 2022-11-30 Fabio Apruzzi

The quantized free Dirac field is considered on Minkowski spacetime (of general dimension). The Dirac field is coupled to an external scalar potential whose support is finite in time and which acts by a Moyal-deformed multiplication with…

Mathematical Physics · Physics 2009-12-04 Markus Borris , Rainer Verch

We construct a theory in which the gravitational interaction is described only by torsion, but that generalizes the Teleparallel Theory still keeping the invariance of local Lorentz transformations in one particular case. We show that our…

General Relativity and Quantum Cosmology · Physics 2016-07-07 Ednaldo L. B. Junior , Manuel E. Rodrigues

The central charge $C_T$ is computed for scalar and Dirac fields propagating according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres in the presence of a spherical monodromy. The relation of $C_T$ to the derivatives…

High Energy Physics - Theory · Physics 2022-03-02 J. S. Dowker

We study the action of time dependent canonical and coordinate transformations in phase space quantum mechanics. We extend the covariant formulation of the theory by providing a formalism that is fully invariant under both standard and time…

High Energy Physics - Theory · Physics 2014-11-18 Nuno Costa Dias , Joao Nuno Prata