The Orthonormal Completeness Hypothesis implies universal interactions between KK modes in brane-world effective actions for U(1) gauge and fermion fields.
Liu,Introduction to Extra Dimensions and Thick Braneworlds, inMemorial Volume for Yi-Shi Duan(2018), DOI [1707.08541]
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abstract
In this review, we give a brief introduction on the aspects of some extra dimension models and the five-dimensional thick brane models in extended theories of gravity. First, we briefly introduce the Kaluza-Klein theory, the domain wall model, the large extra dimension model, and the warped extra dimension models. Then some thick brane solutions in extended theories of gravity are reviewed. Finally, localization of bulk matter fields on thick branes is discussed.
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In a thick braneworld model with f(T) = T + α T², the parameter α induces brane splitting and alters the decay rates of quasinormal modes, with two numerical methods agreeing on the low-overtone spectrum.
Spin-curvature coupling allows stable confinement of spinning particles near or on the brane in higher-codimension warped backgrounds, unlike the repulsive behavior for spinless particles.
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Interactions between different Kaluza-Klein modes in brane world
The Orthonormal Completeness Hypothesis implies universal interactions between KK modes in brane-world effective actions for U(1) gauge and fermion fields.
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Quasinormal modes of the thick braneworld in $f(T)$ gravity
In a thick braneworld model with f(T) = T + α T², the parameter α induces brane splitting and alters the decay rates of quasinormal modes, with two numerical methods agreeing on the low-overtone spectrum.
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Particle and Superparticle Confinement in Higher Codimension Braneworlds
Spin-curvature coupling allows stable confinement of spinning particles near or on the brane in higher-codimension warped backgrounds, unlike the repulsive behavior for spinless particles.