No-Go Theorems on Localization of Gravity around Higher Codimensional Branes in Noncompact Extra Dimensions
arXiv:2012.06409 · doi:10.1007/JHEP03(2021)063
Abstract
We study the brane world scenario of a single brane (or a single stack of branes) with codimension higher than one. When the extra dimensions are not small, localization of gravity around the brane is needed in order to reproduce the observable four-dimensional gravity. We focus on the case of noncompact extra dimensions, where the possibility of localized gravity becomes non-trivial. We show that in large class of gravity models, localization of massless gravity is not possible for codimension-2 branes with at least one noncompact extra dimension. With additional mild assumptions on field backgrounds, we also show that it is not possible for higher codimensional branes with two or more noncompact extra dimensions.
arXiv comment23 pages, published version in JHEP
References in corpus (22)
- An Alternative to Compactification
- Supergravity and a Confining Gauge Theory: Duality Cascades and SB-Resolution of Naked Singularities
- Supergravity description of field theories on curved manifolds and a no go theorem
- Locally Localized Gravity
- Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
- Universal Aspects of Gravity Localized on Thick Branes
- A Small Cosmological Constant from a Large Extra Dimension
- Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
- Stability of Massive Cosmological Gravitons
- A Critical Cosmological Constant from Millimeter Extra Dimensions
- Codimension Two Compactifications and the Cosmological Constant Problem
- Equations of Motion for Massive Spin 2 Field Coupled to Gravity
- Supersymmetric Large Extra Dimensions and the Cosmological Constant: An Update
- Spin-2 spectrum of defect theories
- Non-compact Calabi--Yau Manifolds and Localized Gravity
- Gauge-Higgs Unification in Orbifold Models
- Gravity on codimension 2 brane worlds
- Small Numbers from Tunneling Between Brane Throats
- Towards a Natural Theory of Dark Energy: Supersymmetric Large Extra Dimensions
- A Naturally Small Cosmological Constant on the Brane?
- Holographic self-tuning of the cosmological constant
- Flowing to four dimensions