Symmetry/Asymmetry in Extra Dimensions and Brane Worlds

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (30 April 2026) | Viewed by 1273

Special Issue Editor


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Guest Editor
Associate Professor, School of Physics and Optoelectronic Engineering, Xidian University, Xi'an 710071, China
Interests: gravitation theory; extra dimensions and brane worlds; topological in condensed matter

Special Issue Information

Dear Colleagues,

The suggestion that our observed four-dimensional universe is a brane embedded in a higher-dimensional spacetime can provide new insights for solving the gauge hierarchy problem and cosmological constant problem. In brane scenarios, gravity is free to propagate in all dimensions, while all matter fields are confined to a 3–brane. In 1999, Randall and Sundrum proposed a brane world model with a warped extra dimension to address the hierarchy problem, which is now known as the RS model. There is only one extra spatial dimension, which is compactified on an S1/Z2 orbifold with a radius RED. When the extra dimension is infinite (RED tends to infinite), the four-dimensional gravity on a thin brane can be recovered. Most five-dimensional thick branes are generated by one or more scalar fields with kink-like and/or bump-like configurations, but a few brane models are based on vector fields or spinor fields. Thick branes also arise from pure geometry. Symmetric and asymmetric brane worlds can be constructed, respectively, by considering the symmetric and asymmetric warp factor of extra dimensions.

Dr. Heng Guo
Guest Editor

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Keywords

  • extra dimensions
  • large extra dimensions
  • warped extra dimension
  • brane worlds
  • field theories in higher dimensions
  • higher-dimensional gravity
  • domain wall
  • extended theories of gravity
  • localization

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Published Papers (1 paper)

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Research

11 pages, 5086 KB  
Article
Stueckelberg-like Kaluza–Klein Modes in 6D Brane World
by Chun-E Fu and Heng Guo
Symmetry 2026, 18(2), 336; https://doi.org/10.3390/sym18020336 - 12 Feb 2026
Viewed by 389
Abstract
We investigate the Kaluza–Klein modes of a bulk U(1) gauge field coupled to a dilaton in six-dimensional brane-world scenarios. We demonstrate that four-dimensional gauge invariance is preserved via a Stueckelberg-like mechanism driven by scalar KK modes arising from the extra-dimensional [...] Read more.
We investigate the Kaluza–Klein modes of a bulk U(1) gauge field coupled to a dilaton in six-dimensional brane-world scenarios. We demonstrate that four-dimensional gauge invariance is preserved via a Stueckelberg-like mechanism driven by scalar KK modes arising from the extra-dimensional components. By introducing a bulk gauge-fixing constraint to determine the scalar dynamics and mapping the equations of motion into Schrödinger-like forms, we numerically analyze the mass spectra for two distinct brane solutions. Crucially, we clarify that the physical scalar degree of freedom arises from a gauge-invariant coupling between two underlying scalar modes. Our numerical results reveal that this mixing effect lifts the spectral degeneracy, establishing a distinct mass hierarchy where the massive vector modes are consistently heavier than the physical scalar modes. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Extra Dimensions and Brane Worlds)
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