Results 11 to 20 of about 48,147 (187)

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, Birman, Clifford, Jian Dai, Mandula, Mandula, Specht, Specht, Wilson, Xing-Chang Song, Young   +10 more
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, A. Macías, C. Møller, C. Møller, C.M. Chen, C.M. Chen, D.C. Robinson, D.C. Robinson, E.W. Mielke, E.W. Mielke, E.W. Mielke, F. Estabrook, F. Gronwald, H. Meyer, I. Bars, I. Bars, J.M. Nester, J.M. Nester, J.M. Nester, J.M. Nester, J.M. Nester, J.M. Nester, J.W. Maluf, J.W. Maluf, J.W. Maluf, James M. Nester, K. Hayashi, R.P. Wallner, R.S. Tung, Roh Suan Tung, U. Muench, V.C. Andrade, Y.M. Cho   +32 more
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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

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

Classical local U(1) gauge invariance in Weyl 2-spinor lenguage and charge quantization from irreducible representations of the gauge group

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

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, Choong Sun Kim, Gyung Hyun Min   +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

Minimal unitary representation of 5d superconformal algebra F(4) and AdS6/CFT5 higher spin (super)-algebras

Nuclear Physics B, 2015
We study the minimal unitary representation (minrep) of SO(5,2), obtained by quantization of its geometric quasiconformal action, its deformations and supersymmetric extensions.
Sudarshan Fernando, Murat Günaydin
doaj   +1 more source

Extension of the osp(m|n)~ so(m-n) Correspondence to the Infinite-Dimensional Chiral Spinors and Self Dual Tensors [PDF]

, 2017
The spinor representations of the orthosymplectic Lie superalgebras osp(m|n) are considered and constructed. These are infinite-dimensional irreducible representations, of which the superdimension coincides with the dimension of the spinor representation
Stoilova, N. I., Thierry-Mieg, J., Van der Jeugt, J.   +2 more
core   +2 more sources