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Related papers: $T\bar{T}$ Deformations and Form Factor Program

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We demonstrate the presence of modular properties in partition functions of $T\bar{T}$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of…

High Energy Physics - Theory · Physics 2018-08-22 Shouvik Datta , Yunfeng Jiang

Recently, \cite{Cao:2025hio} demonstrated the $2$-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of…

High Energy Physics - Theory · Physics 2025-12-09 Liang Zhang

Let $F \in \mathbb{Z}[x_0, \ldots, x_n]$ be homogeneous of degree $d$ and assume that $F$ is not a `nullform', i.e., there is an invariant $I$ of forms of degree $d$ in $n+1$ variables such that $I(F) \neq 0$. Equivalently, $F$ is…

Number Theory · Mathematics 2023-10-18 Andreas-Stephan Elsenhans , Michael Stoll

In Tensor Field Theory (TFT), observables are defined through tensor field contractions that produce unitary invariants for complex-valued tensor fields. Traditionally, these observables are constructed using tensor fields of a fixed order…

Mathematical Physics · Physics 2025-05-20 Joseph Ben Geloun , Arnauld Solente

We consider particular modification of the free-field representation of the form factors in the Bullough-Dodd model. The two-particles minimal form factors are excluded from the construction. As a consequence, we obtain convenient…

High Energy Physics - Theory · Physics 2015-05-28 Oleg Alekseev

We study the $T\bar T$ deformation of boundary conformal field theories (BCFTs) from an intrinsic field-theoretic perspective. Formulating the deformation as a modification of the asymptotic variational principle in AdS$_3$, we obtain the…

High Energy Physics - Theory · Physics 2026-01-30 Feiyu Deng

Our understanding of irrelevant perturbations of integrable quantum field theories has greatly expanded over the last decade. In particular, we know that, from a scattering theory viewpoint at least, their effect is realised as a…

High Energy Physics - Theory · Physics 2025-05-06 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

In this paper, we present a construction toward a new type of TQFTs at the crossroads of low-dimensional topology, algebraic geometry, physics, and homotopy theory. It assigns TMF-modules to closed 3-manifolds and maps of TMF-modules to…

Algebraic Topology · Mathematics 2025-09-17 Sergei Gukov , Vyacheslav Krushkal , Lennart Meier , Du Pei

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

We study forced oscillations on differentiable manifolds which are globally defined as the zero set of appropriate smooth maps in some Euclidean spaces. Given a T-periodic perturbative forcing field, we consider the two different scenarios…

Classical Analysis and ODEs · Mathematics 2014-05-20 Alessandro Calamai , Marco Spadini

We develop a unified Courant--Hilbert framework for constructing two-dimensional integrable sigma models deformed by two couplings: a marginal one $\gamma$ and an irrelevant one $\lambda$. The integrability condition is encoded in a…

High Energy Physics - Theory · Physics 2025-12-23 H. Babaei-Aghbolagh , Bin Chen , Song He

We consider irrelevant deformations of massless RSOS scattering theories by an infinite number of higher TTbar_{s+1} operators which introduce extra non-trivial CDD factors between left-movers and right-movers. It is shown that the…

High Energy Physics - Theory · Physics 2024-07-11 Changrim Ahn , Zoltan Bajnok

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 study $T\bar{T}$-deformed $O(N)$ scalar field theory in two-dimensional spacetime using the functional renormalization group. We derive the $\beta$ functions for the couplings in the system and explore the fixed points. In addition to…

High Energy Physics - Theory · Physics 2024-03-15 Jie Liu , Junichi Haruna , Masatoshi Yamada

Direct verification of the existence of an infinite set of multicritical non-perturbative FPs (Fixed Points) for a single scalar field in two dimensions, is in practice well outside the capabilities of the present standard approximate…

High Energy Physics - Theory · Physics 2009-10-28 Tim R. Morris

Methods are described for the nonperturbative calculation of wave functions and scattering amplitudes in light-cone quantization. Form factors are computed from the boost-invariant wave functions, which appear as coefficients in a…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. R. Hiller

We have carried out a large scale computational investigation to assess the utility of common small-molecule force fields for computational screening of low energy conformers of typical organic molecules. Using statistical analyses on the…

Chemical Physics · Physics 2017-08-15 Ilana Y. Kanal , John A. Keith , Geoffrey R. Hutchison

We study the evolution of correlation functions of local fields in a two-dimensional quantum field theory under the $\lambda T\bar T$ deformation, suitably regularized. We show that this may be viewed in terms of the evolution of each…

High Energy Physics - Theory · Physics 2020-01-23 John Cardy

This review explores recent advances in the theory of $T\bar{T}$ deformation, an irrelevant yet solvable deformation of quantum field theories defined via the quadratic form of the energy-momentum tensor. It addresses classical and quantum…

High Energy Physics - Theory · Physics 2025-05-13 Song He , Yi Li , Hao Ouyang , Yuan Sun

We construct symmetry generators and operators for $J\bar{T}$-deformed conformal field theories by generalizing the framework established for $T\bar{T}$ deformations. Working in the Hamiltonian formalism on the plane, we derive the symmetry…

High Energy Physics - Theory · Physics 2025-11-14 Liangyu Chen , Zhengyuan Du , Wei Song
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