Dirac equation in four time and four space dimensions

被引:4
作者
Nieto, J. A. [1 ]
Espinoza, M. [1 ]
机构
[1] Univ Autonoma Sinaloa, Fac Ciencias Fis Matemat, Culiacan 80010, Sinaloa, Mexico
关键词
Dirac equation; qubit theory; Clifford algebra; ORIENTED MATROIDS; QUBITS; REVERSAL; BRANES;
D O I
10.1142/S0219887817500141
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Dirac equation in four time and four space dimensions (or (4+4)-dimensions) is considered. Step by step, we show that such an equation admits Majorana and Weyl solutions. In order to obtain the Majorana or Weyl spinors, we used a method based on the construction of Clifford algebra in terms of 2 x 2-matrices. We argue that our approach can be useful in supergravity, superstrings and qubit theory.
引用
收藏
页数:12
相关论文
共 31 条
[1]  
[Anonymous], 1988, INTRO SUPERSYMMETRY
[2]   The black-hole/qubit correspondence: an up-to-date review [J].
Borsten, L. ;
Duff, M. J. ;
Levay, P. .
CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (22)
[3]   On the black-hole/qubit correspondence [J].
Borsten, L. ;
Duff, M. J. ;
Marrani, A. ;
Rubens, W. .
EUROPEAN PHYSICAL JOURNAL PLUS, 2011, 126 (04) :1-31
[4]   Superqubits [J].
Borsten, L. ;
Dahanayake, D. ;
Duff, M. J. ;
Rubens, W. .
PHYSICAL REVIEW D, 2010, 81 (10)
[5]   Black holes, qubits and octonions [J].
Borsten, L. ;
Dahanayake, D. ;
Duff, M. J. ;
Ebrahim, H. ;
Rubens, W. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 471 (3-4) :113-219
[6]  
Chevalley C.C., 1996, ALGEBRAIC THEORY SPI
[7]  
Choquet-Bruhat Y, 1989, ANAL MANIFOLS PHYS 2
[8]   Spinor algebras [J].
D'Auria, R ;
Ferrara, S ;
Lledó, MA ;
Varadarajan, VS .
JOURNAL OF GEOMETRY AND PHYSICS, 2001, 40 (02) :101-129
[9]  
De Andrade M A, ARXIVHEPTH0105025
[10]   The signature triality of Majorana-Weyl space-times [J].
De Andrade, MA ;
Rojas, M ;
Toppan, F .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2001, 16 (27) :4453-4479