Results 11 to 20 of about 5,272 (123)

The Extended Fock Basis of Clifford Algebra

Advances in Applied Clifford Algebras, 2011
We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras introduced in [1]. We show that a Clifford algebra can be seen as a direct sum of multiple spinor subspaces that are characterized as being left eigenvectors of \Gamma ...
Chevalley Claude C., Marco Budinich
core   +3 more sources

The Octonions [PDF]

, 2001
The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics.
Chang, Woo-Nyoung, Lee, Jae-Hyouk, Lee, Sung Hwan, Lee, Young Jun   +3 more
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Octonionic representations of Clifford algebras and triality [PDF]

, 1994
The theory of representations of Clifford algebras is extended to employ the division algebra of the octonions or Cayley numbers. In particular, questions that arise from the non-associativity and non-commutativity of this division algebra are answered ...
A. Cayley, A. R. Dündarer, A. Sudbery, B. G. Wybourne, C. A. Manogue, C. C. Chevalley, C. W. Curtis, Corinne A. Manogue, D. B. Fairlie, G. Dixon, H. S. M. Coxeter, H. S. M. Coxeter, H. Tachibana, I. M. Benn, I. Oda, I. R. Porleous, J. F. Adams, J. M. Evans, J. Rotman, Jörg Schray, K. Hoffman, K. W. Chung, M. Aschbacher, M. Cederwall, P. Budinich, P. Jordan, P. Lounesto, R. D. Schafer, R. Moufang, T. Kugo, W. R. Hamilton   +30 more
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On a Relation Between Twistors and Killing Spinors

Cumhuriyet Science Journal, 2018
Inspiring from the consequence of constructingconformal Killing-Yano forms out of Killing-Yano forms and closed conformalKilling-Yano forms, this work includes a method for building up twistors fromKilling spinors which can be analogously interpreted as ...
Özgür Açık
doaj   +1 more source

An introduction to the edition of two Lemaître’s original manuscripts

Demonstratio Mathematica, 2017
The aim of this paper is to explain the contributions of G. Lemaître to Spinor Theory. At the end of the paper, we edited also, for the first time two short manuscripts: Spineurs et Quanta and Les spineurs et la physique quantique, written by Lemaître in
Maere Catherine de, Lambert Dominique
doaj   +1 more source

A geometric basis for the standard-model gauge group [PDF]

, 2001
A geometric approach to the standard model in terms of the Clifford algebra Cl_7 is advanced. A key feature of the model is its use of an algebraic spinor for one generation of leptons and quarks.
Baylis W E, Baylis W E, Baylis W E, Chaichian M, Chisholm J S R, Chisholm J S R, Chisholm J S R, Chisholm J S R, Chisholm J S R, Crumeyrolle A, Greg Trayling, Hestenes D, Kaku M, Lounesto P, Porteous I R, W E Baylis   +15 more
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Spinor Algebras [PDF]

, 2000
We consider supersymmetry algebras in space-times with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincar\'e and super conformal algebras is elucidated.
Andrianopoli, Bars, Bergshoeff, Blencowe, Coleman, Coquereaux, Cortés, de Azcárraga, Dvali, Dvali, D’Auria, Ferrara, Ferrara, Finkelstein, Günaydin, Haag, Horava, Horava, M.A. Lledó, Nahm, Nahm, R. D’Auria, S. Ferrara, Strathdee, Townsend, V.S. Varadarajan, Vafa, Van Holten, Wess   +28 more
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New spinor classes on the Graf-Clifford algebra [PDF]

Journal of High Energy Physics, 2018
Abstract Pinor and spinor fields are sections of the subbundles whose fibers are the representation spaces of the Clifford algebra of the forms, equipped with the Graf product. In this context, pinors and spinors are here considered and the geometric generalized Fierz identities provide the necessary framework to derive and ...
R. Lopes, R. da Rocha
openaire   +3 more sources

Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification

, 2004
Relying upon the division-algebra classification of Clifford algebras and spinors, a classification of generalized supersymmetries (or, with a slight abuse of language,"generalized supertranslations") is provided.
C. Fronsdal, D. Sorokin, D.V. Alekseevsky, Francesco Toppan, H.L. Carrion, I. Rudychev, I.R. Porteous, J. Baez, K.S. Stelle, M.A. Vasiliev, M.F. Atiyah, N. Seiberg, P.C. West, P.K. Townsend, R. D'Auria, S. Ferrara, S. Okubo, S. Okubo   +17 more
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Revealing how different spinors can be: the Lounesto spinor classification

, 2017
This paper aims to give a coordinate based introduction to the so-called Lounesto spinorial classification scheme. We introduce the main ideas and aspects of this spinorial categorization in an argumentative basis, after what we delve into a commented ...
Cavalcanti, R. T., da Silva, J. M. Hoff
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