Operatorial Chan-Paton factors

L. Clavelli; P. H. Cox; B. Harms

doi:10.1103/PhysRevD.36.3747

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Operatorial Chan-Paton factors

L. Clavelli

P. H. Cox

B. Harms

Department of Physics and Astronomy, University of Alabama, Tuscaloosa, Alabama 35487

Department of Physics, University of North Alabama, Florence, Alabama 35632

Department of Physics and Astronomy, University of Alabama, Tuscaloosa, Alabama 35487

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Phys. Rev. D 36, 3747 – Published 15 December, 1987

DOI: https://doi.org/10.1103/PhysRevD.36.3747

Abstract

We present a detailed Fock-space realization of the operatorial Chan-Paton factors suggested in a functional integral approach by Marcus and Sagnotti. The twist operator is explicitly constructed for the cases of SO( $2^{D / 2}$ ) and USp( $2^{D / 2}$ ) internal symmetries for any even integer D.

References (7)

J. Paton and H. M. Chan, Nucl. Phys. B10, 519 (1969).
N. Marcus and A. Sagnotti, Phys. Lett. B 188, 58 (1987).
M. B. Green and J. H. Schwarz, Phys. Lett. 151B, 21 (1985); Nucl. Phys. B255, 93 (1985) M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, England, 1987), Vol. 2, pp. 27 and 85.
P. Mathieu and Q. Ho-Kim, Laval University report, 1987 (unpublished).
M. R. Douglas and B. Grinstein, Phys. Lett. B 183, 52 (1987); ibid. 187, 442(E) (1987); S. Weinberg, ibid. 187, 278 (1987).
L. Clavelli and J. A. Shapiro, Nucl. Phys. B57, 490 (1973), see Appendix C.
A. A. Kirillov, Elements of the Theory of Representations (Springer, Berlin, 1976).

[c1] J. Paton and H. M. Chan, Nucl. Phys. B10, 519 (1969).

[c2] N. Marcus and A. Sagnotti, Phys. Lett. B 188, 58 (1987).

[c3] M. B. Green and J. H. Schwarz, Phys. Lett. 151B, 21 (1985); Nucl. Phys. B255, 93 (1985) M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, England, 1987), Vol. 2, pp. 27 and 85.

[c4] P. Mathieu and Q. Ho-Kim, Laval University report, 1987 (unpublished).

[c5] M. R. Douglas and B. Grinstein, Phys. Lett. B 183, 52 (1987); ibid. 187, 442(E) (1987); S. Weinberg, ibid. 187, 278 (1987).

[c6] L. Clavelli and J. A. Shapiro, Nucl. Phys. B57, 490 (1973), see Appendix C.

[c7] A. A. Kirillov, Elements of the Theory of Representations (Springer, Berlin, 1976).

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Operatorial Chan-Paton factors

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References (7)

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