Duality and the Lorentz Group

Itzhak Bars; Feza Gürsey

doi:10.1103/PhysRevD.4.1769

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Duality and the Lorentz Group

Itzhak Bars^* and Feza Gürsey^†

Physics Department, Yale University, New Haven, Connecticut 06520

^*New address: Department of Physics, University of California, Berkeley, Calif. 94720.
^†On leave of absence from the Middle East Technical University, Ankara, Turkey.

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Phys. Rev. D 4, 1769 – Published 15 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1769

Abstract

We investigate the suggestion that the internal $SL (2, C)$ invariance of the generalized Virasoro model is in fact related to the same $SL (2, C)$ group which generates Lorentz transformations on the external momenta. We use fields which transform according to the representations of the homogeneous Lorentz group and derive the $n$ -point Virasoro model.

References (8)

G. Domokos, S. Kovesi-Domokos, and E. Schonberg, Phys. Rev. D 2, 1026 (1970) I. Montvay, ibid. 3, 2532 (1971)
I. Bars and F. Gürsey, Yale University report, 1971 (unpublished)
S. Fubini and G. Veneziano, Nuovo Cimento 67A, 29 (1970) L. Clavelli and P. Ramond, Phys. Rev. D 2, 973 (1970)
J. A. Shapiro, Phys. Letters 33B, 361 (1970)
I. M. Gelfand, M. I. Graev, and N. Ya. Vilenkin, Generalized Functions (Academic, New York, 1966), Vol. V M. A. Naimark, Linear Representations of the Lorentz Group (Pergamon, New York, 1964) W. Rühl, The Lorentz Group and Harmonic Analysis (Benjamin, New York, 1970)
M. Yoshimura, Phys. Letters 34B, 79 (1971)
E. Del Giudice and P. DiVecchia, MIT report, 1970 (unpublished)
Omitted endnote

[c1] G. Domokos, S. Kovesi-Domokos, and E. Schonberg, Phys. Rev. D 2, 1026 (1970) I. Montvay, ibid. 3, 2532 (1971)

[c2] I. Bars and F. Gürsey, Yale University report, 1971 (unpublished)

[c3] S. Fubini and G. Veneziano, Nuovo Cimento 67A, 29 (1970) L. Clavelli and P. Ramond, Phys. Rev. D 2, 973 (1970)

[c4] J. A. Shapiro, Phys. Letters 33B, 361 (1970)

[c5] I. M. Gelfand, M. I. Graev, and N. Ya. Vilenkin, Generalized Functions (Academic, New York, 1966), Vol. V M. A. Naimark, Linear Representations of the Lorentz Group (Pergamon, New York, 1964) W. Rühl, The Lorentz Group and Harmonic Analysis (Benjamin, New York, 1970)

[c6] M. Yoshimura, Phys. Letters 34B, 79 (1971)

[c7] E. Del Giudice and P. DiVecchia, MIT report, 1970 (unpublished)

[c8] Omitted endnote

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Duality and the Lorentz Group

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