Results 81 to 90 of about 2,097,491 (204)

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

Annalen der Physik, Volume 537, Issue 9, September 2025.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source

The self-coupled Einstein-Cartan-Dirac equations in terms of Dirac bilinears

, 2019
In this article we present the algebraic rearrangement, or matrix inversion of the Dirac equation in a curved Riemann–Cartan spacetime with torsion; the presence of non-vanishing torsion is implied by the intrinsic spin-1/2 of the Dirac field.
Shaun Inglis (14739937), Peter Jarvis (14740186)   +1 more
core  

Differential Geometry of Moving Surfaces and Its Relation to Solitons [PDF]

, 2011
In this article we present an introduction in the geometrical theory of motion of curves and surfaces in R3, and its relations with the nonlinear integrable systems.
Ludu, Andrei
core   +1 more source

Higher order Cartan connections [PDF]

, 1996
summary:A Cartan connection associated with a pair $P(M,G^{\prime })\subset P(M,G)$ is defined in the usual manner except that only the injectivity of $\omega :T(P^{\prime })\rightarrow T(G)_{e}$ is required.
Virsik, George
core   +1 more source

Legendrian non‐isotopic unit conormal bundles in high dimensions

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract For any compact connected submanifold K$K$ of Rn$\mathbb {R}^n$, let ΛK$\Lambda _K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of Rn$\mathbb {R}^n$. In this paper, we give examples of pairs (K0,K1)$(K_0,K_1)$ of compact connected submanifolds of Rn$\mathbb {R}^n$ such that ΛK0$\Lambda _{K_0}$
Yukihiro Okamoto
wiley   +1 more source

10–plectic formulation of gravity and Cartan connections

, 2016
We give a Hamiltonian formulation of Weyl–Einstein–Cartan gravity which is covariant from the viewpoint of the geometry of the principal fiber bundle. The connection is represented by a 1-form with values in the Poincaré Lie algebra, which is defined on ...
Vey, Dimitri
core  

“The philosophical principles of mathematics” : Elie Cartan, Henri Cartan and Jean Cavailles.

, 2022
Writings by Elie Cartan and Henri Cartan on Cavailles are presented here, either in a first or new ...
Camille Akmut
core   +1 more source

Restoring Lorentz symmetries in parity-even Einstein–Cartan domain walls conformal to Bianchi I metric embedded in weak gravity Weitzenböck vacuum manifold

European Physical Journal C: Particles and Fields
It is well known that a weak gravity limit can be associated with a restoration of Lorentz covariance. In this paper we present a physical example of a parity-even Einstein–Cartan domain wall (ECDW) embedded in a Weitzenböck zero connection vacuum ...
L. Garcia de Andrade
doaj   +1 more source

Background-equivariant BRST observables and i-particle propagators from an auxiliary quartet in SU(3) Yang-Mills

Nuclear Physics B
In this work, we construct a BRST-exact quartet mechanism in SU (3) Yang-Mills theory in the Landau gauge. The quartet sector is cohomologically trivial in the standard vacuum, ensuring equivalence to pure Yang-Mills theory.
M.M. Amaral, V.E.R. Lemes
doaj   +1 more source

Cartan frames and algebras with links to integrable systems differential equations and surfaces

Journal of Mathematical Physics, 2018
Moving frames and Clifford algebras will be used to illustrate an interconnected approach to the study of integrable systems, their surfaces, and methods for producing integrable partial differential equations. After a system of one-forms is defined, moving frame equations can be integrated and the resulting equations for the surface can be obtained ...
openaire   +3 more sources