Results 11 to 20 of about 48,297 (285)
Spinor representation of framed Mannheim curves
Turkish Journal of Mathematics, 2022 Summary: In this paper, we obtain spinor with two complex components representations of Mannheim curves of framed curves. Firstly, we give the spinor formulas of the frame corresponding to framed Mannheim curve. Later, we obtain the spinor formulas of the frame corresponding to framed Mannheim partner curve.
Dogan Yazici, Bahar +2 more
openaire +6 more sources
Structure and Representation Theory for Double Group of Four-Dimensional Cubic Group [PDF]
, 2001 Hypercubic groups in any dimension are defined and their conjugate classifications and representation theories are derived. Double group and spinor representation are introduced. A detailed calculation is carried out on the structures of four-dimensional
Baake +10 more
core +2 more sources
Representation fields for commutative orders [PDF]
, 2011 A representation field for a non-maximal order $\Ha$ in a central simple algebra is a subfield of the spinor class field of maximal orders which determines the set of spinor genera of maximal orders containing a copy of $\Ha$. Not every non-maximal order
Arenas-Carmona, Luis
core +2 more sources
The quadratic spinor Lagrangian is equivalent to the teleparallel theory [PDF]
, 1999 The quadratic spinor Lagrangian is shown to be equivalent to the teleparallel / tetrad representation of Einstein's theory. An important consequence is that the energy-momentum density obtained from this quadratic spinor Lagrangian is essentially the ...
A. Dimakis +32 more
core +3 more sources
On representations of spinor genera [PDF]
Compositio Mathematica, 2004 The authors address the problem of determining when one quadratic form over the ring of integers of an algebraic number field is represented by the spinor genus of another such form. Explicit criteria for such a representation to exist are determined for the case when the rank of the representing form is three or four.
Chan, Wai Kiu, Xu, Fei
openaire +2 more sources
Results in Physics, 2016 A new classical 2-spinor approach to U(1) gauge theory is presented in which the usual four-potential vector field is replaced by a symmetric second rank spinor.
J. Buitrago
doaj +1 more source
Five-dimensional vector multiplets in arbitrary signature
Journal of High Energy Physics, 2018 We start developing a formalism which allows to construct supersymmetric theories systematically across space-time signatures. Our construction uses a complex form of the supersymmetry algebra, which is obtained by doubling the spinor representation ...
L. Gall, T. Mohaupt
doaj +1 more source
Curvature Spinors in Locally Inertial Frame and the Relations with Sedenion
Universe, 2020 In the 2-spinor formalism, the gravity can be dealt with curvature spinors with four spinor indices. Here we show a new effective method to express the components of curvature spinors in the rank-2 4 × 4 tensor representation for the gravity
In Ki Hong +2 more
doaj +1 more source
Non-separable states in a bipartite elastic system
AIP Advances, 2017 We consider two one-dimensional harmonic chains coupled along their length via linear springs. Casting the elastic wave equation for this system in a Dirac-like form reveals a directional representation.
P. A. Deymier, K. Runge
doaj +1 more source
Wilson loops in N $$ \mathcal{N} $$ = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5
Journal of High Energy Physics, 2021 We study the half-BPS circular Wilson loop in N $$ \mathcal{N} $$ = 4 super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of SO(N).
Simone Giombi, Bendeguz Offertaler
doaj +1 more source