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Higher-derivative theories of free higher-spin fields are investigated focusing on their symmetries. Generalizing familiar two-derivative constrained formulations, we first construct less-constrained Einstein-like and Maxwell-like…

High Energy Physics - Theory · Physics 2015-06-11 Euihun Joung , Karapet Mkrtchyan

In this paper, two things are done. (i) Using cohomological techniques, we explore the consistent deformations of linearized conformal gravity in 4 dimensions. We show that the only possibility involving no more than 4 derivatives of the…

High Energy Physics - Theory · Physics 2017-09-27 N. Boulanger , M. Henneaux

This paper presents the detailed, standard treatment of a simple, gauge invariant action for Weyl and Weyl-like Cartan geometries outlined in a previous paper. In addition to the familiar scalar curvature squared and Maxwell terms, the…

General Relativity and Quantum Cosmology · Physics 2018-07-26 J. E. Rankin

A system of gravity coupled to a 2-form gauge field, a dilaton and Yang-Mills fields in $2n$ dimensions arises from the (2,1) sigma model or string. The field equations imply that the curvature with torsion and Yang-Mills field strength are…

High Energy Physics - Theory · Physics 2009-10-30 M. Abou Zeid , C. M. Hull

We construct the analogue of the Dirac-Born-Infeld (DBI) action in Weyl conformal geometry in $d$ dimensions and obtain a general theory of gravity with Weyl gauge symmetry of dilatations (Weyl-DBI). This is done in the Weyl gauge covariant…

High Energy Physics - Theory · Physics 2025-03-11 D. M. Ghilencea

It is shown that the AdS_3 gravity action with boundary terms is non invariant under diffeomorphisms and that its Lie derivative has the form of the Weyl anomaly in two dimensions. This variation is compensated by a Weyl transformation of…

High Energy Physics - Theory · Physics 2007-05-23 Karin Bautier

Scale-invariant actions in arbitrary dimensions are investigated in curved space to clarify the relation between scale-, Weyl- and conformal invariance on the classical level. The global Weyl-group is gauged. Then the class of actions is…

High Energy Physics - Theory · Physics 2009-10-30 A. Iorio , L. O'Raifeartaigh , I. Sachs , C. Wiesendanger

We study a host of spacetimes where the Weyl curvature may be expressed algebraically in terms of an Abelian field strength. These include Type D spacetimes in four and higher dimensions which obey a simple quadratic relation between the…

High Energy Physics - Theory · Physics 2020-10-28 Rashid Alawadhi , David S. Berman , Bill Spence

We give a detailed analysis of the particle spectrum and the perturbative unitarity of the recently introduced Weyl-invariant version of the new massive gravity in 2+1 dimensions. By computing the action up to second order in the…

High Energy Physics - Theory · Physics 2012-03-13 M. Reza Tanhayi , Suat Dengiz , Bayram Tekin

We present a candidate of anomaly and Wess Zumino action of the two dimensional supergravity coupling with matters in a super-Weyl invariant regularization. It is a generalization of the Weyl and the area preserving \Diff invariant…

High Energy Physics - Theory · Physics 2009-10-30 K. Kamimura , R. Kuriki

We present a general method of deriving the effective action for conformal anomalies in any even dimension, which satisfies the Wess-Zumino consistency condition by construction. The method relies on defining the coboundary operator of the…

High Energy Physics - Theory · Physics 2009-11-07 Pawel O. Mazur , Emil Mottola

The $T\bar{T}$ deformation can be formulated as a dynamical change of coordinates. We establish and generalize this relation to curved spaces by coupling the undeformed theory to 2d gravity. For curved space the dynamical change of…

High Energy Physics - Theory · Physics 2021-03-18 Pawel Caputa , Shouvik Datta , Yunfeng Jiang , Per Kraus

We consider higher dimensional gravity in which the four dimensional spacetime and extra dimensions are not treated on an equal footing. The anisotropy is implemented in the ADM decomposition of higher dimensional metric by requiring the…

High Energy Physics - Theory · Physics 2017-09-27 Taeyoon Moon , Phillial Oh

Particular class of AdS(d) mixed-symmetry bosonic massless fields corresponding to arbitrary two-column Young tableaux is considered. Unique gauge invariant free actions are found and equations of motion are analyzed.

High Energy Physics - Theory · Physics 2009-11-10 K. B. Alkalaev

We systematically analyze the effective action on the moduli space of (2,0) superconformal field theories in six dimensions, as well as their toroidal compactification to maximally supersymmetric Yang-Mills theories in five and four…

High Energy Physics - Theory · Physics 2015-05-15 Clay Cordova , Thomas T. Dumitrescu , Xi Yin

An action for the higher-derivative corrections to minimal gauged supergravity in four dimensions has been recently proposed. We demonstrate that the supersymmetric solutions of this model are those of the two-derivative action, and…

High Energy Physics - Theory · Physics 2021-09-15 Pietro Benetti Genolini , Paul Richmond

We extend a previous analysis on the derivation of the dilaton Wess-Zumino (WZ) action in $d=4$, based on the method of Weyl gauging, to $6$ dimensions. As in the previous case, we discuss the structure of the same action in dimensional…

High Energy Physics - Theory · Physics 2015-06-17 Claudio Coriano , Luigi Delle Rose , Carlo Marzo , Mirko Serino

The effective action for 2d-gravity in Weyl-invariant regularization is extended to supersymmetric case. The super area-preserving invariance and cocyclic properties under general supergravitational transformations of the last action is…

High Energy Physics - Theory · Physics 2009-10-28 D. R. Karakhanyan

Metric-affine geometry provides a non-trivial extension of the general relativity where the metric and connection are treated as the two independent fundamental quantities in constructing the space-time (with non-vanishing torsion and…

General Relativity and Quantum Cosmology · Physics 2015-01-23 R. Vazirian , M. R. Tanhayi , Z. A. Motahar

One may write the Maxwell equations in terms of two gauge potentials, one electric and one magnetic, by demanding that their field strengths should be dual to each other. This requirement is the condition of twisted self-duality. It can be…

High Energy Physics - Theory · Physics 2011-07-01 Claudio Bunster , Marc Henneaux
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