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The differential approach to spinors and their symmetries

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The differential approach to spinors and their symmetries. / Benn, Ian; Tucker, Robin.
In: Il Nuovo Cimento A, Vol. 88, No. 3, 01.08.1985, p. 273-285.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Benn, I & Tucker, R 1985, 'The differential approach to spinors and their symmetries', Il Nuovo Cimento A, vol. 88, no. 3, pp. 273-285. https://doi.org/10.1007/BF02812874

APA

Benn, I., & Tucker, R. (1985). The differential approach to spinors and their symmetries. Il Nuovo Cimento A, 88(3), 273-285. https://doi.org/10.1007/BF02812874

Vancouver

Benn I, Tucker R. The differential approach to spinors and their symmetries. Il Nuovo Cimento A. 1985 Aug 1;88(3):273-285. doi: 10.1007/BF02812874

Author

Benn, Ian ; Tucker, Robin. / The differential approach to spinors and their symmetries. In: Il Nuovo Cimento A. 1985 ; Vol. 88, No. 3. pp. 273-285.

Bibtex

@article{f23dbbb02802464eb558c44bcae45de1,
title = "The differential approach to spinors and their symmetries",
abstract = "A formulation of spinor analysis in space-time is given in terms of smooth sections of a real Clifford bundle. Its relation to the two-component complex calculus for spinor components is elucidated. Treating spinors in terms of inhomogeneous differential forms carryingPIN 3,1 andSPIN 3,1 representations enables the discrete covariances of the Maxwell-Dirac system to be induced naturally from smooth isometries of the space-time metric. Attention is drawn to the distinction between the Dirac and K{\"a}hler equations in curved space when expressed in this geometric formulation.",
author = "Ian Benn and Robin Tucker",
year = "1985",
month = aug,
day = "1",
doi = "10.1007/BF02812874",
language = "English",
volume = "88",
pages = "273--285",
journal = "Il Nuovo Cimento A",
issn = "0369-3546",
publisher = "Zanichelli Editore SpA",
number = "3",

}

RIS

TY - JOUR

T1 - The differential approach to spinors and their symmetries

AU - Benn, Ian

AU - Tucker, Robin

PY - 1985/8/1

Y1 - 1985/8/1

N2 - A formulation of spinor analysis in space-time is given in terms of smooth sections of a real Clifford bundle. Its relation to the two-component complex calculus for spinor components is elucidated. Treating spinors in terms of inhomogeneous differential forms carryingPIN 3,1 andSPIN 3,1 representations enables the discrete covariances of the Maxwell-Dirac system to be induced naturally from smooth isometries of the space-time metric. Attention is drawn to the distinction between the Dirac and Kähler equations in curved space when expressed in this geometric formulation.

AB - A formulation of spinor analysis in space-time is given in terms of smooth sections of a real Clifford bundle. Its relation to the two-component complex calculus for spinor components is elucidated. Treating spinors in terms of inhomogeneous differential forms carryingPIN 3,1 andSPIN 3,1 representations enables the discrete covariances of the Maxwell-Dirac system to be induced naturally from smooth isometries of the space-time metric. Attention is drawn to the distinction between the Dirac and Kähler equations in curved space when expressed in this geometric formulation.

U2 - 10.1007/BF02812874

DO - 10.1007/BF02812874

M3 - Journal article

VL - 88

SP - 273

EP - 285

JO - Il Nuovo Cimento A

JF - Il Nuovo Cimento A

SN - 0369-3546

IS - 3

ER -