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Exact plane gravitational radiation fields are presented within the framework of general relativity and their properties are described. The physics of nonlinear elliptically polarized plane gravitational waves is developed in close analogy…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Masoud Molaei , Shant Baghram , Bahram Mashhoon

We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-dimensional manifolds to the category of line bundles with…

Differential Geometry · Mathematics 2007-05-23 Tosiaki Kori

It is given an algorithm to obtain generalized power asymptotic expansions of the solutions of the Einstein equations arising for several homogeneous cosmological models. This allows to investigate their behavior near the initial…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alejandro S. Jakubi

A bar-joint framework $(G,p)$ in a (non-Euclidean) real normed plane $X$ is the combination of a finite, simple graph $G$ and a placement $p$ of the vertices in $X$. A framework $(G,p)$ is globally rigid in $X$ if every other framework…

Metric Geometry · Mathematics 2024-01-18 Sean Dewar , Anthony Nixon

We present a unified formulation for higher gauge theory using generalized forms, encompassing higher connections, curvatures, and gauge transformations. We begin by developing the calculus of generalized forms valued in higher algebras and…

Mathematical Physics · Physics 2026-01-30 Danhua Song , Mengyao Wu

There is a longstanding puzzle concerned with the existence of Op~-planes with p>=6, which are orientifold p-planes of negative charge with stuck Dp-branes. We study the consistency of configurations with various orientifold planes and…

High Energy Physics - Theory · Physics 2009-10-31 Yoshifumi Hyakutake , Yosuke Imamura , Shigeki Sugimoto

We review some aspects of gauged WZW models. By choosing a nilpotent subgroup as gauge group, one is lead to three main applications: the construction of field theories with an extended conformal symmetry, the construction of the effective…

High Energy Physics - Theory · Physics 2007-05-23 A. Sevrin

Motivated by obtaining a consistent mathematical description for the radiation reaction of point charged particles in linear classical electrodynamics, a theory of generalized higher order tensors and differential forms is introduced. The…

Differential Geometry · Mathematics 2013-09-20 Ricardo Gallego Torromé

Based on the operator formalism that arises from the underlying SU(2) group structure, a formula is derived that provides a description of the generalized Hermite-Laguerre Gauss modes in terms of a Jones vector, traditionally used to…

Optics · Physics 2019-08-06 R. Gutiérrez-Cuevas , M. R. Dennis , M. A. Alonso

We generalize symplectic convexity theorems for Hamiltonian actions with proper momentum maps to symplectic actions on orbifolds with mod-$\Gamma$ proper momentum maps.

Symplectic Geometry · Mathematics 2007-05-23 Yang Qilin

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

General Relativity and Quantum Cosmology · Physics 2009-05-26 T. Harko

A generalized version of the rotating-wave approximation for the single-mode spin-boson Hamiltonian is presented. It is shown that performing a simple change of basis prior to eliminating the off-resonant terms results in a significantly…

Quantum Physics · Physics 2009-11-13 E. K. Irish

The direct string computation of anomalous D-brane and orientifold plane couplings is extended to include the curvature of the normal bundle. The normalization of these terms is fixed unambiguously. New, non-anomalous gravitational…

High Energy Physics - Theory · Physics 2009-10-31 Ben Craps , Frederik Roose

The standard extremal p-brane solutions in supergravity are known to allow for a generalisation which consists of adding a linear dependence on the world-volume coordinates to the usual harmonic function. In this note we demonstrate that…

High Energy Physics - Theory · Physics 2018-10-18 J. Blåbäck , B. Janssen , T. Van Riet , B. Vercnocke

A new class of modified theory of gravity is introduced where the volume form becomes dynamical. This approach is motivated by unimodular gravity and can also be related to Brans-Dicke theory. On the level of the action, the only change…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Christian G. Boehmer , Sante Carloni

We review orientifold constructions in the presence of magnetic backgrounds both in the open and closed sectors. Generically, the resulting orientifold models have a nice geometric description in terms of rotated D-branes and/or O-planes.…

High Energy Physics - Theory · Physics 2009-11-07 C. Angelantonj

Recently, a gauge theory of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)] has been developed to extend the Standard Model to include gravity. Here we present unified gravity using the ordinary four-vector and tensor field notation of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Mikko Partanen , Jukka Tulkki

We present a method to generate qubits of the vibrational motion of an ion. The method is developed in the non-rotating wave approximation regime, therefore we consider regimes where the dynamics has not been studied. Because the solutions…

Quantum Physics · Physics 2013-04-02 L. M. Arévalo Aguilar , H. Moya-Cessa

We review developments in the world-sheet action formulation of the generic irrational conformal field theory, including the non-linear and the linearized forms of the action. These systems form a large class of spin-two gauged WZW actions…

High Energy Physics - Theory · Physics 2007-05-23 K. Clubok , M. B. Halpern

We derive expressions required in generalizing the Gutzwiller approximation to models comprising arbitrarily degenerate localized orbitals.

Condensed Matter · Physics 2009-10-30 Takuya Okabe