Spectrum-Generating Algebra and No-Ghost Theorem for the Neveu-Schwarz Model

Richard C. Brower; Kenneth A. Friedman

doi:10.1103/PhysRevD.7.535

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Spectrum-Generating Algebra and No-Ghost Theorem for the Neveu-Schwarz Model

Richard C. Brower^* and Kenneth A. Friedman^†

Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

^*Address after September 1, 1972: California Institute of Technology, Pasadena, California 91109.
^†Address after September 1, 1972: The Weizmann Institute of Science, Rehovot, Israel.

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Phys. Rev. D 7, 535 – Published 15 January, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.535

Abstract

The no-ghost theorem of Brower for the conventional dual model (intercept $α_{0} = 1$ ) is extended to the Neveu-Schwarz model, and its spectrum-generating algebra is constructed. These conformally invariant generators ( $A_{n}, B_{s}$ ) are obtained by a systematic use of the gauges $G_{r}$ . As a consequence it is demonstrated that particular dual models having resonances with positive-definite norms and masses are possible.

References (15)

M. A. Virasoro, Phys. Rev. D 1, 2933 (1970)
R. C. Brower, Phys. Rev. D 6, 1655 (1972)
E. Del Giudice, P. Di Vecchia, and S. Fubini (DDF), Ann. Phys. (N.Y.) 70, 378 (1972)
P. Goddard and C. B. Thorn, Phys. Letters 40B, 235 (1972) [5]
A. Neveu and J. H. Schwarz, Nucl. Phys. B31, 86 (1971) A. Neveu, J. H. Schwarz, and C. B. Thorn, Phys. Letters 35B, 529 (1971)
Omitted endnote
R. C. Brower and C. B. Thorn, Nucl. Phys. B31, 163 (1971) R. C. Brower and P. Goddard, ibid. B40, 437 (1972)
Omitted endnote
Omitted endnote
D. B. Fairlie, Durham report, 1971 (unpublished)
E. Del Giudice and P. Di Vecchia, Nuovo Cimento 70A, 579 (1970)
J. H. Schwarz [Nucl. Phys. B46, 61 (1972)]
C. Rosenzweig, Lett. Nuovo Cimento 2, 927 (1971)
K. A. Friedman and C. Rosenzweig, Nuovo Cimento 10A, 53 (1972)
R. Ramond, Phys. Rev. D 3, 2415 (1971)

[c1] M. A. Virasoro, Phys. Rev. D 1, 2933 (1970)

[c2] R. C. Brower, Phys. Rev. D 6, 1655 (1972)

[c3] E. Del Giudice, P. Di Vecchia, and S. Fubini (DDF), Ann. Phys. (N.Y.) 70, 378 (1972)

[c4] P. Goddard and C. B. Thorn, Phys. Letters 40B, 235 (1972) [5]

[c5] A. Neveu and J. H. Schwarz, Nucl. Phys. B31, 86 (1971) A. Neveu, J. H. Schwarz, and C. B. Thorn, Phys. Letters 35B, 529 (1971)

[c6] Omitted endnote

[c7] R. C. Brower and C. B. Thorn, Nucl. Phys. B31, 163 (1971) R. C. Brower and P. Goddard, ibid. B40, 437 (1972)

[c8] Omitted endnote

[c9] Omitted endnote

[c10] D. B. Fairlie, Durham report, 1971 (unpublished)

[c11] E. Del Giudice and P. Di Vecchia, Nuovo Cimento 70A, 579 (1970)

[c12] J. H. Schwarz [Nucl. Phys. B46, 61 (1972)]

[c13] C. Rosenzweig, Lett. Nuovo Cimento 2, 927 (1971)

[c14] K. A. Friedman and C. Rosenzweig, Nuovo Cimento 10A, 53 (1972)

[c15] R. Ramond, Phys. Rev. D 3, 2415 (1971)

Physical Review D

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Spectrum-Generating Algebra and No-Ghost Theorem for the Neveu-Schwarz Model

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References (15)

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