Dark matter self-interactions from higher dimensional gravity

Nicolas Chatillon; Cosmin Macesanu; Aleksandr Pinzul; Mark Trodden

doi:10.1103/physrevd.73.123516

Unitarity in KK-graviton production, a case study in warped extra-dimensions

Journal of High Energy Physics ◽

10.1007/jhep04(2021)143 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

A. de Giorgi ◽

S. Vogl

Keyword(s):

Extra Dimensions ◽

Sum Rules ◽

Effective Theory ◽

Higher Dimensional ◽

Massive Spin ◽

The Matrix ◽

Dimensional Gravity ◽

Warped Extra Dimensions ◽

Kaluza Klein

Abstract The Kaluza-Klein (KK) decomposition of higher-dimensional gravity gives rise to a tower of KK-gravitons in the effective four-dimensional (4D) theory. Such massive spin-2 fields are known to be connected with unitarity issues and easily lead to a breakdown of the effective theory well below the naive scale of the interaction. However, the breakdown of the effective 4D theory is expected to be controlled by the parameters of the 5D theory. Working in a simplified Randall-Sundrum model we study the matrix elements for matter annihilations into massive gravitons. We find that truncating the KK-tower leads to an early breakdown of perturbative unitarity. However, by considering the full tower we obtain a set of sum rules for the couplings between the different KK-fields that restore unitarity up to the scale of the 5D theory. We prove analytically that these are fulfilled in the model under consideration and present numerical tests of their convergence. This work complements earlier studies that focused on graviton self-interactions and yields additional sum rules that are required if matter fields are incorporated into warped extra-dimensions.

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Probing Large Distance Higher-Dimensional Gravity with Cosmic Microwave Background Measurements

Physical Review Letters ◽

10.1103/physrevlett.87.031102 ◽

2001 ◽

Vol 87 (3) ◽

Cited By ~ 21

Author(s):

Pierre Binétruy ◽

Joseph Silk

Keyword(s):

Cosmic Microwave Background ◽

Large Distance ◽

Microwave Background ◽

Higher Dimensional ◽

Dimensional Gravity

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HIGHER GAUGE THEORY AND GRAVITY IN 2+1 DIMENSIONS

International Journal of Modern Physics A ◽

10.1142/s0217751x07037330 ◽

2007 ◽

Vol 22 (28) ◽

pp. 5155-5172 ◽

Cited By ~ 1

Author(s):

R. B. MANN ◽

E. M. POPESCU

Keyword(s):

Gauge Theory ◽

Two Dimensional ◽

Yang Mills ◽

Higher Dimensional ◽

Present Context ◽

Dimensional Gravity ◽

Wide Perspective ◽

Higher Gauge Theory ◽

Matter Fields ◽

New Framework

Non-Abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher-dimensional (two-dimensional in the present context) connection forms, and as such, it has been successfully applied to the non-Abelian generalizations of the Yang–Mills theory and 2-form electrodynamics. (2+1)-dimensional gravity, on the other hand, has been a fertile testing ground for many concepts related to classical and quantum gravity, and it is therefore only natural to investigate whether we can find an application of higher gauge theory in this latter context. In the present paper we investigate the possibility of applying the formalism of higher gauge theory to gravity in 2+1 dimensions, and we show that a nontrivial model of (2+1)-dimensional gravity coupled to scalar and tensorial matter fields — the ΣΦEA model — can be formulated as a higher gauge theory (as well as a standard gauge theory). Since the model has a very rich structure — it admits as solutions black-hole BTZ-like geometries, particle-like geometries as well as Robertson–Friedman–Walker cosmological-like expanding geometries — this opens a wide perspective for higher gauge theory to be tested and understood in a relevant gravitational context. Additionally, it offers the possibility of studying gravity in 2+1 dimensions coupled to matter in an entirely new framework.

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