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Related papers: More on $T \overline{T}$-like deformations in high…

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We consider a one-parameter family of composite fields -- bi-linear in the components of the stress-energy tensor -- which generalise the $\mathrm{T}\bar{\mathrm{T}}$ operator to arbitrary space-time dimension $d\geq 2$. We show that they…

High Energy Physics - Theory · Physics 2022-09-28 Riccardo Conti , Jacopo Romano , Roberto Tateo

We consider the most general set of integrable deformations extending the $T\bar{T}$ deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theory's factorised S-matrix related to the higher-spin conserved…

High Energy Physics - Theory · Physics 2020-05-27 Guzmán Hernández-Chifflet , Stefano Negro , Alessandro Sfondrini

Given a model for self-dual non-linear electrodynamics in four spacetime dimensions, any deformation of this theory which is constructed from the duality-invariant energy-momentum tensor preserves duality invariance. In this work we present…

High Energy Physics - Theory · Physics 2023-11-30 Christian Ferko , Sergei M. Kuzenko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

In this paper, we generalize the deformations driven by the stress-energy tensor $T$ and investigate their relation to the flow equation for the background metric at the classical level. For a deformation operator $\mathcal{O}$ as a…

High Energy Physics - Theory · Physics 2025-05-02 Xi-Yang Ran , Feng Hao , Masatoshi Yamada

We consider supersymmetric deformations of gauge theories in various dimensions obtained from a String Theory realisation of branes embedded in flux backgrounds. In particular we obtain deformations which take the form of Wilson line…

High Energy Physics - Theory · Physics 2018-08-01 Neil Lambert , Domenico Orlando , Susanne Reffert , Yuta Sekiguchi

Various fluid mechanical systems, governed by nonlinear differential equations, enjoy a hidden, higher-dimensional dynamical Poincar\'e symmetry, which arises owing to their descent from a Nambu-Goto action. Also, for the same reason, there…

High Energy Physics - Theory · Physics 2009-10-31 R. Jackiw

The description of the $T\bar{T}$ deformation in terms of two-dimensional gravity is analyzed from the Hamiltonian point of view, in a manner analogous to the ADM description of general relativity. We find that the Hamiltonian constraints…

High Energy Physics - Theory · Physics 2025-10-27 Florencia Benítez , Guzmán Hernández-Chifflet , Esteban Mato

In this letter, we investigate the deformation of the ModMax theory, as a unique Lagrangian of non-linear electrodynamics preserving both conformal and electromagnetic-duality invariance, under $T\bar{T}$-like flows. We will show that the…

High Energy Physics - Theory · Physics 2022-04-20 H. Babaei-Aghbolagh , Komeil Babaei Velni , Davood Mahdavian Yekta , H. Mohammadzadeh

We show that the recently introduced ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors. The operator associated to this flow is…

High Energy Physics - Theory · Physics 2022-08-10 Christian Ferko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We provide a simple geometric meaning for deformations of so-called $T{\overline T}$ type in relativistic and non-relativistic systems. Deformations by the cross products of energy and momentum currents in integrable quantum field theories…

High Energy Physics - Theory · Physics 2022-07-06 John Cardy , Benjamin Doyon

We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form.…

High Energy Physics - Theory · Physics 2024-09-30 Christian Ferko , Jue Hou , Tommaso Morone , Gabriele Tartaglino-Mazzucchelli , Roberto Tateo

We give a geometrical interpretation of the non-geometric Q and R fluxes. To this end we consider double field theory in a formulation that is related to the conventional one by a field redefinition taking the form of a T-duality inversion.…

High Energy Physics - Theory · Physics 2012-07-11 David Andriot , Olaf Hohm , Magdalena Larfors , Dieter Lust , Peter Patalong

The central result about fast rotating-flow structures is the Taylor-Proudman theorem (TPT) which connects various aspects of the dynamics. Taylor's geometrical proof of TPT is reproduced and extended substantially, with Lie's theory for…

Analysis of PDEs · Mathematics 2020-09-01 Jian-Zhou Zhu

The actions of the ``$R=T$'' and string-inspired theories of gravity in (1+1) dimensions are generalized into one single action which is characterized by two functions. We discuss differing interpretations of the matter stress-energy…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. S. F. Chan , R. B. Mann

We investigate the behaviour of two-dimensional quantum field theories with $\mathcal{N}=(0,2)$ supersymmetry under a deformation induced by the `$T\bar{T}$' composite operator. We show that the deforming operator can be defined by a…

High Energy Physics - Theory · Physics 2019-12-17 Hongliang Jiang , Alessandro Sfondrini , Gabriele Tartaglino-Mazzucchelli

We investigate the "$T\bar{T}$" deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $T\bar{T}$ deforming operator can…

High Energy Physics - Theory · Physics 2019-07-24 Marco Baggio , Alessandro Sfondrini , Gabriele Tartaglino-Mazzucchelli , Harriet Walsh

The $T \overline{T}$ operator provides a universal irrelevant deformation of two-dimensional quantum field theories with remarkable properties, including connections to both string theory and holography beyond $\mathrm{AdS}$ spacetimes. In…

High Energy Physics - Theory · Physics 2022-05-18 Christian Ferko

The $T\bar T$ deformation of a conformal field theory has a dual description as a cutoff $AdS_3$ spacetime, at least at the level of pure 3d gravity. We generalize this deformation in such a way that it builds up a patch of bulk $dS_3$…

High Energy Physics - Theory · Physics 2018-11-21 Victor Gorbenko , Eva Silverstein , Gonzalo Torroba

The irrelevant composite operator $T\bar{T}$, constructed from components of the stress-energy tensor, exhibits unique properties in two-dimensional quantum field theories and represents a distinctive form of integrable deformation.…

High Energy Physics - Theory · Physics 2025-01-22 Nicolò Brizio , Tommaso Morone , Roberto Tateo

We probe poly-vector deformations of Type II backgrounds by the fundamental string, D0-brane and D3-brane, and of the 11D membrane background by the fundamental M2-brane. We show that the corresponding deformations of the world-volume…

High Energy Physics - Theory · Physics 2026-05-25 Sergei Barakin , Angelina Kurenkova , Edvard T. Musaev