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We analyse the dynamical properties of disformally transformed theories of gravity. We show that disformal transformation typically introduces novel degrees of freedom, equivalent to the mimetic dark matter, which possesses a Weyl-invariant…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Pavel Jiroušek , Keigo Shimada , Alexander Vikman , Masahide Yamaguchi

We review recent developments in physical implications of Weyl conformal geometry. The associated Weyl quadratic gravity action is a gauge theory of the Weyl group of dilatations and Poincar\'e symmetry. Weyl conformal geometry is defined…

High Energy Physics - Theory · Physics 2025-06-05 D. M. Ghilencea

Two dimensional Warped Conformal Field Theories (WCFTs) may represent the simplest examples of field theories without Lorentz invariance that can be described holographically. As such they constitute a natural window into holography in non…

High Energy Physics - Theory · Physics 2015-06-19 Diego M. Hofman , Blaise Rollier

We demonstrate that a recently proposed classical double copy procedure to construct the effective action of two massive particles in dilaton-gravity from the analogous problem of two color charged particles in Yang-Mills gauge theory fails…

High Energy Physics - Theory · Physics 2019-10-16 Jan Plefka , Canxin Shi , Jan Steinhoff , Tianheng Wang

The Ward identities involving the currents associated to the spontaneously broken scale and special conformal transformations are derived and used to determine, through linear order in the two soft-dilaton momenta, the double-soft behavior…

High Energy Physics - Theory · Physics 2017-09-20 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

We show that in the perturbative regime defined by the coupling constant, the theta-exact Seiberg-Witten map applied to noncommutative U(N) Yang-Mills --with or without Supersymmetry-- gives an ordinary gauge theory which is, at the quantum…

High Energy Physics - Theory · Physics 2016-10-12 Carmelo P. Martin , Josip Trampetic , Jiangyang You

Toda Conformal Field Theories (CFTs hereafter) are generalizations of Liouville CFT where the underlying field is no longer scalar but takes values in a finite-dimensional vector space induced by a complex simple Lie algebra. The goal of…

Probability · Mathematics 2025-12-24 Baptiste Cerclé , Nathan Huguenin

A model of matter-coupled gravity in two dimensions is quantized. The crucial requirement for performing the quantization is the vanishing of the conformal anomaly, which is achieved by tuning a parameter in the interaction potential. The…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , S. Mignemi

We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT. We start by developing in detail the differential graded manifold…

High Energy Physics - Theory · Physics 2018-04-24 Andreas Deser , Marc Andre Heller , Christian Saemann

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

High Energy Physics - Theory · Physics 2015-06-22 Olaf Hohm , Barton Zwiebach

In this article I first give an abbreviated history of string theory and then describe the recently-conjectured field-string duality. This suggests a class of nonsupersymmetric gauge theories which are conformal (CGT) to leading order of…

High Energy Physics - Theory · Physics 2007-05-23 P. H. Frampton

We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a…

High Energy Physics - Theory · Physics 2025-12-04 Tomas Brauner , Yang Li , Diederik Roest , Tianzhi Wang

Gauge symmetry enhancing, at specific points of the compactification space, is a distinguished feature of string theory. In this work we discuss the breaking of such symmetries with tools provided by Double Field Theory (DFT). As a main…

High Energy Physics - Theory · Physics 2017-08-02 G. Aldazabal , E. Andres , Martin Mayo , J. A. Rosabal

We establish a universal relation between the coefficient $C_T$ of the energy momentum tensor two point function and the coefficient $c$ multiplying the term quadratic in the Weyl tensor in the Weyl anomaly of a generic even dimensional…

High Energy Physics - Theory · Physics 2026-05-28 Rodrigo Aros , Fabrizzio Bugini , Danilo E. Diaz , Camilo Núñez-Barra

The Kerr-Schild double copy relates exact solutions of gauge and gravity theories. In all previous examples, the gravity solution is associated with an abelian-like gauge theory object, which linearises the Yang-Mills equations. This…

High Energy Physics - Theory · Physics 2020-08-26 Luigi Alfonsi , Chris D. White , Sam Wikeley

The $T \bar T$ deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional `ghost-free' massive gravity. We derive the equivalence classically, and using a…

High Energy Physics - Theory · Physics 2020-07-15 Andrew J. Tolley

There are two covariant descriptions of massless spin-2 particles in $D=3+1$ via a symmetric rank-2 tensor: the linearized Einstein-Hilbert (LEH) theory and the Weyl plus transverse diffeomorphism (WTDIFF) invariant model. From the LEH…

High Energy Physics - Theory · Physics 2017-10-25 D. Dalmazi , A. L. R. dos Santos , Subir Ghosh , E. L. Mendonca

We construct a gravity dual for scale invariant but non-conformal field theories with a cyclic renormalization group flow. A slight modification of our construction gives a gravity dual of discretely scale invariant field theories. The…

High Energy Physics - Theory · Physics 2012-02-07 Yu Nakayama

We find double copy relations between classical radiating solutions in Yang-Mills theory coupled to dynamical color charges and their counterparts in a cubic bi-adjoint scalar field theory which interacts linearly with particles carrying…

High Energy Physics - Theory · Physics 2017-12-29 Walter D. Goldberger , Siddharth G. Prabhu , Jedidiah O. Thompson

We use a Weyl transformation between $S^1 \times S^{d-1}$ and $S^1 \times \mathcal{H}^{d-1}/\mathbb{Z}$ to relate a conformal field theory at arbitrary temperature on $S^{d-1}$ to itself at the inverse temperature on…

High Energy Physics - Theory · Physics 2018-03-14 Gary T. Horowitz , Edgar Shaghoulian