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We develop a perturbation theory of four-dimensional topological 2-form gravity without cosmological constant. A 2-form and an $SU(2)$ connection 1-form are used as fundamental variables instead of metric. There is no quantum correction…

High Energy Physics - Theory · Physics 2007-05-23 Tomoyuki Inui , Akika Nakamichi

We present a new exact treatment of $T\bar{T}$ deformed 2D CFT in terms of the worldsheet theory of a non-critical string. The transverse dimensions of the non-critical string are represented by the undeformed CFT, while the two…

High Energy Physics - Theory · Physics 2020-05-20 Nele Callebaut , Jorrit Kruthoff , Herman Verlinde

It was noticed many years ago, in the framework of massless RG flows, that the irrelevant composite operator $T \bar{T}$, built with the components of the energy-momentum tensor, enjoys very special properties in 2D quantum field theories,…

High Energy Physics - Theory · Physics 2016-11-23 Andrea Cavaglià , Stefano Negro , István M. Szécsényi , Roberto Tateo

We study systems in arbitrary space-time dimensions where matter, deformed by $\mathrm{T}\bar{\mathrm{T}}$-like irrelevant operators, is coupled to gravity in the Palatini formalism. The dynamically equivalent perspective is investigated,…

High Energy Physics - Theory · Physics 2024-06-27 Tommaso Morone , Stefano Negro , Roberto Tateo

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 compute bulk 3- and 4-point tachyon correlators in the 2d Liouville gravity with non-rational matter central charge c<1, following and comparing two approaches. The continuous CFT approach exploits the action on the tachyons of the…

High Energy Physics - Theory · Physics 2009-11-11 I. K. Kostov , V. B. Petkova

It has recently been proposed that Zamoldchikov's $T \bar{T}$ deformation of two-dimensional CFTs describes the holographic theory dual to AdS$_3$ at finite radius. In this note we use the Gauss-Codazzi form of the Einstein equations to…

High Energy Physics - Theory · Physics 2018-05-29 Marika Taylor

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 analyse the $T\bar{T}$ deformation of 2d CFTs in a special double-scaling limit, of large central charge and small deformation parameter. In particular, we derive closed formulae for the deformation of the product of left and right…

High Energy Physics - Theory · Physics 2021-08-18 Shouvik Datta , Yunfeng Jiang

A recently introduced model of dually weighted planar graphs is solved in terms of an elliptic parametrization for some particular collection of planar graphs describing the 2D $R^2$ quantum gravity. Along with the cosmological constant…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Kazakov

We use dimensional reduction techniques to relate real time finite T correlation functions in (2+1) dimensional QCD to bound state parameters in a generalized 't Hooft model with an infinite number of heavy quark and adjoint scalar fields.…

High Energy Physics - Theory · Physics 2009-10-30 T. H. Hansson , J. Wirstam , I. Zahed

Very special $T\bar{J}$ deformations of a conformal field theory are irrelevant deformations that break the Lorentz symmetry but preserve the twisted Lorentz symmetry. We construct a holographic description of very special $T\bar{J}$…

High Energy Physics - Theory · Physics 2019-10-23 Yu Nakayama

The holographic duality conjectures a relation between strongly coupled quantum systems and quantum gravity in higher-dimensional spacetimes. Gravitational theories in two and three dimensions are meaningful examples for classical and…

High Energy Physics - Theory · Physics 2024-04-17 Stephen Ebert

We calculate the genus 2 correlation functions of two-dimensional topological gravity, in a background with two primary fields, using the genus 2 topological recursion relations.

High Energy Physics - Theory · Physics 2007-05-23 Tohru Eguchi , Ezra Getzler , Chuan-Sheng Xiong

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

We study Zamolodchikov's TT* deformation of two dimensional quantum field theories in a 't Hooft-like limit, in which we scale the number of degrees of freedom c to infinity and the deformation parameter t to zero, keeping their product t*c…

High Energy Physics - Theory · Physics 2018-07-04 Ofer Aharony , Talya Vaknin

We construct solutions of type-II supergravity based on multiple copies and/or mixings of $\lambda$-deformed coset CFTs on $\mathrm{SO}(n+1)_k/\mathrm{SO}(n)_k$, with $n = 2, 3, 4$. The resulting ten-dimensional geometries contain…

High Energy Physics - Theory · Physics 2026-05-15 Giuseppe Casale , Georgios Itsios

Conformal symmetries appear in many parts of physics and play a unique role in exploring the Universe. In this work, we consider the possibility of constructing conformal theories of gravity in the Symmetric Teleparallel Gravity framework,…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Viktor Gakis , Martin Krššák , Jackson Levi Said , Emmanuel N. Saridakis

We examine the known Riemann curvature corrections to the supergravity action at order $\alpha'^3$ under the T-duality transformations. Using the compatibility of the action with the linear T-duality and with the S-matrix calculations as…

High Energy Physics - Theory · Physics 2015-06-11 Mohammad R. Garousi

All standard measures of bipartite entanglement in one-dimensional quantum field theories can be expressed in terms of correlators of branch point twist fields, here denoted by $\mathcal{T}$ and $\mathcal{T}^\dagger$. These are symmetry…

High Energy Physics - Theory · Physics 2023-03-15 Olalla A. Castro-Alvaredo , Michele Mazzoni
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