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In this article, for positive integers $n\geq m\geq 1$, the parameter spaces for the isomorphism classes of the generic point arrangements of cardinality $n$, and the antipodal point arrangements of cardinality $2n$ in the Eulidean space…

综合数学 · 数学 2021-02-23 C P Anil Kumar

A class of the $D=4$ gravity models describing a coupled system of $n$ Abelian vector fields and the symmetric $n \times n$ matrix generalizations of the dilaton and Kalb-Ramond fields is considered. It is shown that the Pecci-Quinn axion…

高能物理 - 理论 · 物理学 2014-11-18 O. Kechkin , M. Yurova

We consider the simplicial state-sum model of Ponzano and Regge as a path integral for quantum gravity in three dimensions. We examine the Lorentzian geometry of a single 3-simplex and of a simplicial manifold, and interpret an asymptotic…

广义相对论与量子宇宙学 · 物理学 2010-04-06 J. W. Barrett , T. J. Foxon

We consider the operator product expansion (OPE) structure of scalar primary operators in a generic Lorentzian CFT and its dual description in a gravitational theory with one extra dimension. The OPE can be decomposed into certain bi-local…

高能物理 - 理论 · 物理学 2020-05-20 Heng-Yu Chen , Lung-Chuan Chen , Nozomu Kobayashi , Tatsuma Nishioka

Some classical aspects of Metric-Affine Gravity are reviewed in the context of the $F^{(n)}(R)$ type models (polynomials of degree $n$ in the Riemann tensor) and the topologically massive gravity. At the non-perturbative level, we explore…

广义相对论与量子宇宙学 · 物理学 2021-05-13 Rolando Gaitan , Yessica Dominguez

An attempt is made to go beyond the standard semi-classical approximation for gravity in the Born-Oppenheimer decomposition of the wave-function in minisuperspace. New terms are included which correspond to quantum gravitational…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Roberto Casadio

Emergent modified gravity is a post-Einsteinian gravitational theory where spacetime geometry is not fundamental but rather emerges from the gravitational degrees of freedom in a non-trivial way. The specific relationship between geometry…

广义相对论与量子宇宙学 · 物理学 2024-12-23 Martin Bojowald , Erick I. Duque , S. Shankaranarayanan

We present an action for minimal massive gravity (MMG) in three dimensions in terms of a dreibein and an independent spin connection. Furthermore, the construction provides an action principle for an infinite family of so-called third-way…

高能物理 - 理论 · 物理学 2024-11-11 Nihat Sadik Deger , Marc Geiller , Jan Rosseel , Henning Samtleben

We consider a family of Riemannian manifolds M such that for each unit speed geodesic gamma of M there exists a distinguished bijective correspondence L between infinitesimal translations along gamma and infinitesimal rotations around it.…

微分几何 · 数学 2023-05-02 Eduardo Hulett , Ruth Paola Moas , Marcos Salvai

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

高能物理 - 理论 · 物理学 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for $d>2$. We couple a seed QFT to Einstein gravity with deformation parameter $\lambda$ and evaluate the gravitational path integral at…

高能物理 - 理论 · 物理学 2026-03-10 Yunfei Xie , Yun-Ze Li , Lixin Xu , Song He

The non-Abelian Kaluza-Klein unification of gravitation with gauge fields theory is reformulated, with the inclusion of a massive spin-2 field defined by the extrinsic curvature. The internal space is non-compact, characterized by the group…

高能物理 - 理论 · 物理学 2013-11-01 D. C. N. Cunha , M. D. Maia

A new method for nonperturbative investigations of quantum gravity is presented in which the simplicial path integral is approximated by the partition function of a spin system. This facilitates analytical and numerical computations…

高能物理 - 格点 · 物理学 2009-10-28 W. Beirl , P. Homolka , B. Krishnan , H. Markum , J. Riedler

Galaxies are self-gravitating structures composed by several components encompassing spherical, axial and triaxial symmetry. Although real systems feature heterogeneous components whose properties are intimately connected, semi-analytical…

星系天体物理 · 物理学 2021-02-03 Matteo Bonetti , Elisa Bortolas , Alessandro Lupi , Massimo Dotti

We present an asymptotic expansion for quaternionic self-adjoint matrix integrals. The Feynman diagrams appearing in the expansion are ordinary ribbon graphs and their non-orientable counterparts. The result exhibits a striking duality…

数学物理 · 物理学 2009-11-07 Motohico Mulase , Andrew Waldron

We report here on two works on Lorentz invariant massive gravity. In the first part, we derive the decoupling limit of massive gravity on de Sitter, relying on embedding de Sitter into an higher dimensional Minkowski spacetime. This enables…

高能物理 - 理论 · 物理学 2015-12-24 Sébastien Renaux-Petel

We perform the asymptotic enumeration of two classes of rooted maps on orientable surfaces of genus g: m-hypermaps and m-constellations. For m=2, they correspond respectively to maps with even face degrees and bipartite maps. We obtain…

组合数学 · 数学 2012-03-15 Guillaume Chapuy

The problem of determining the configuration of points from partial distance information, known as the Euclidean Distance Geometry (EDG) problem, is fundamental to many tasks in the applied sciences. In this paper, we propose two algorithms…

最优化与控制 · 数学 2024-10-10 Chandler Smith , HanQin Cai , Abiy Tasissa

Semiclassical gravity, in which a classical spacetime is sourced by the quantum expectation value of the stress-energy tensor, is a standard framework for describing the gravitational interaction of quantum matter. In the nonrelativistic…

广义相对论与量子宇宙学 · 物理学 2025-12-23 Hollis Williams

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to…

高能物理 - 理论 · 物理学 2022-01-14 Dionysios Anninos , Eleanor Harris