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In this paper, we study the manifestation of exact diffeomorphism in warped extra dimension, with an emphasis on the Randall-Sundrum model. Utilizing the covariant form of variation $\delta g_{MN} = \nabla_M \xi_N + \nabla_N \xi_M$, we…

High Energy Physics - Theory · Physics 2024-07-09 Haiying Cai

Models of gravity in warped extra dimensions enjoy invariance under diffeomorphism. We derive the nonlinear transformation rules for the metric perturbations in the unitary gauge. As an off-shell symmetry, the main consequence of…

High Energy Physics - Theory · Physics 2026-04-03 Haiying Cai , Giacomo Cacciapaglia

The structure of a diffeomorphism invariant Lagrangians for an extended object W embedded in a bulk space M is discussed by following a close analogy with the relativistic particle in electromagnetic field as a system that is…

Mathematical Physics · Physics 2017-08-23 V. G. Gueorguiev

The radion in the Randall-Sundrum model is stabilized by the back reaction of a bulk scalar field with its VEV depending on the fifth dimensional coordinate. We studied the radion dynamics in an extended scenario, where intermediate branes…

High Energy Physics - Theory · Physics 2022-11-22 Haiying Cai

General structure of classical reparametrization-invariant matter systems, mainly the relativistic particle and its $d$-brane generalization, are studied. The exposition is in close analogy with the relativistic particle in an…

Mathematical Physics · Physics 2007-05-23 V. G. Gueorguiev

We investigate the properties of the radion in the 5D linear dilaton model arising from Little String Theory. A Goldberger-Wise type mechanism is used to stabilise a large interbrane distance, with the dilaton now playing the role of the…

High Energy Physics - Phenomenology · Physics 2012-06-06 Peter Cox , Tony Gherghetta

The radion equilibrium in the Randall-Sundrum (RS) model is guaranteed by the back-reaction of a bulk scalar field. In this paper we study an extended scenario, where an intermediate brane exists in addition to the two branes at the fixed…

High Energy Physics - Theory · Physics 2022-04-18 Haiying Cai

We construct the effective theory of the graviscalar radion in the Randall-Sundrum scenario, taking into account effects arising from the stabilization of the extra dimension through the Goldberger-Wise mechanism. We explore the conditions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Zackaria Chacko , Rashmish K. Mishra , Daniel Stolarski

We consider theories which break the invariance under diffeomorphisms (Diff) down to transverse diffeomorphisms (TDiff) in the matter sector, consisting of multiple scalar fields. In particular, we regard shift-symmetric models with two…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Diego Tessainer , Antonio L. Maroto , Prado Martín-Moruno

We discuss some issues about the holographic interpretation of the compact Randall-Sundrum model, which is conjectured to be dual to a 4d field theory with non-linearly realized conformal symmetry. We make several checks of this conjecture.…

High Energy Physics - Theory · Physics 2010-02-03 R. Rattazzi , A. Zaffaroni

In the warped space model, the inter-brane distance can be stabilized by the Goldberger-Wise mechanism. Of particular importance, the stabilization potential calls for a proper identification of the dynamical degree of freedom. In this…

High Energy Physics - Theory · Physics 2022-09-27 Haiying Cai

We investigate the impact of diffeomorphisms where more than one nonequivalent spinor structure is built upon a given base manifold endowed with nontrivial topology. We call attention to the fact that a relatively straightforward…

Mathematical Physics · Physics 2025-11-17 J. M. Hoff da Silva

Diffeomorphism invariance breaking has been investigated in the literature in several contexts, including emergent General Relativity (GR). If GR emerges from an underlying theory without diffeomorphism invariance, there may be small…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ufuk Aydemir , Mahmut Elbistan

We consider brane world models with interbrane separation stabilized by the Goldberger-Wise scalar field. For arbitrary background, or vacuum configurations of the gravitational and scalar fields in such models, we construct the second…

High Energy Physics - Theory · Physics 2010-11-05 Edward E. Boos , Yuri S. Mikhailov , Mikhail N. Smolyakov , Igor P. Volobuev

We analyze the particle spectrum of a second-order (in derivatives) theory based on a rank-2 tensor field with both symmetric and antisymmetric components. By demanding the existence of a propagating massless spin-2 particle and invariance…

High Energy Physics - Theory · Physics 2026-04-24 D. Dalmazi , Luiz G. M. Ramos

The appearance of the radion field, which is associated with the spin-0 metric fluctuations combined in some manner with the scalar stabilizing field, and of the radion, the corresponding lowest Kaluza-Klein (KK) mode, is a generic…

High Energy Physics - Phenomenology · Physics 2014-12-03 E. Boos , S. Keizerov , E. Rahmetov , K. Svirina

Offshell electrodynamics based on a manifestly covariant off-shell relativistic dynamics of Stueckelberg, Horwitz and Piron, is five-dimensional. In this paper, we study the problem of radiation reaction of a particle in motion in this…

Mathematical Physics · Physics 2015-03-19 I. Aharonovich , L. P. Horwitz

Local action principles on a manifold $\M$ are invariant (if at all) only under diffeomorphisms that preserve the boundary of $\M$. Suppose, however, that we wish to study only part of a system described by such a principle; namely, the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Donald Marolf

We deform the interaction between nonrelativistic point particles on a plane and a Chern-Simons field to obtain an action invariant with respect to time-dependent area-preserving diffeomorphisms. The deformed and undeformed Lagrangians are…

High Energy Physics - Theory · Physics 2009-11-07 P. C. Stichel

We work on a 4-manifold equipped with Lorentzian metric $g$ and consider a volume-preserving diffeomorphism which is the unknown quantity of our mathematical model. The diffeomorphism defines a second Lorentzian metric $h$, the pullback of…

Mathematical Physics · Physics 2021-01-05 Matteo Capoferri , Dmitri Vassiliev
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