Spontaneous breaking of Lorentz symmetry in string theory

V. Alan Kostelecký; Stuart Samuel

doi:10.1103/PhysRevD.39.683

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Spontaneous breaking of Lorentz symmetry in string theory

V. Alan Kostelecký

Stuart Samuel

Physics Department, Indiana University, Bloomington, Indiana 47405

Physics Department, City College of New York, New York, New York 10031

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Phys. Rev. D 39, 683 – Published 15 January, 1989

DOI: https://doi.org/10.1103/PhysRevD.39.683

Abstract

The possibility of spontaneous breakdown of Lorentz symmetry in string theory is explored via covariant string field theory. A potential mechanism is suggested for the Lorentz breaking that may be generic in many string theories.

References (12)

E. Witten, Nucl. Phys. B268, 253 (1986).
E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B261, 1 (1985).
(Note that the temporal component of, for example, any vector field has a quadratic term in the potential appearing with negative coefficient due to the Minkowski metric. However, gauge symmetries must be present to eliminate these negatively normed states. To circumvent these complications, we work in Euclidean space.
J. H. Sloan, Princeton Report No. PUPT-1075, 1987 (unpublished); S. Samuel, Nucl. Phys. B308, 285 (1988).
V. A. Kostelecký and S. Samuel, Phys. Lett. B 207, 169 (1988).
D. Gross and A. Jevicki, Nucl. Phys. B283, 1 (1987); E. Cremmer, A. Schwimmer and C. Thorn, Phys. Lett. B 179, 57 (1986); S. Samuel, ibid. 181, 255 (1986).
W. Siegel, Phys. Lett. 142B, 276 (1984); ibid. 151B, 391 (1985); ibid. 151B, 396 (1985).
D. Friedan, E. Martinec and S. Shenker, Nucl. Phys. B271, 93 (1986).
In 26 dimensions, mass dimensionalities are dim $S^{i}$ =12, dim $T_{M}^{i}$ =12, dimg=-10, and dimα prime =-2.
K. Bardakçi, Nucl. Phys. B68, 331 (1974); ibid. B70, 397 (1974); ibid. B133, 297 (1978); K. Bardakçi and M. Halpern, ibid B73, 295 (1974); ibid. B96, 285 (1975); Phys. Rev. D 10, 4230 (1974).
L. J. Dixon and J. A. Harvey, Nucl. Phys. B274, 93 (1986); N. Seiberg and E. Witten, ibid. B276, 272 (1986); L. Alvarez-Gaumé, P. Ginsparg, G. Moore and C. Vafa, Phys. Lett. B 171, 155 (1986).
K. S. Narain and M. H. Sarmadi, Phys. Lett. B 184, 165 (1987).

[c1] E. Witten, Nucl. Phys. B268, 253 (1986).

[c2] E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B261, 1 (1985).

[c3] (Note that the temporal component of, for example, any vector field has a quadratic term in the potential appearing with negative coefficient due to the Minkowski metric. However, gauge symmetries must be present to eliminate these negatively normed states. To circumvent these complications, we work in Euclidean space.

[c4] J. H. Sloan, Princeton Report No. PUPT-1075, 1987 (unpublished); S. Samuel, Nucl. Phys. B308, 285 (1988).

[c5] V. A. Kostelecký and S. Samuel, Phys. Lett. B 207, 169 (1988).

[c6] D. Gross and A. Jevicki, Nucl. Phys. B283, 1 (1987); E. Cremmer, A. Schwimmer and C. Thorn, Phys. Lett. B 179, 57 (1986); S. Samuel, ibid. 181, 255 (1986).

[c7] W. Siegel, Phys. Lett. 142B, 276 (1984); ibid. 151B, 391 (1985); ibid. 151B, 396 (1985).

[c8] D. Friedan, E. Martinec and S. Shenker, Nucl. Phys. B271, 93 (1986).

[c9] In 26 dimensions, mass dimensionalities are dim $S^{i}$ =12, dim $T_{M}^{i}$ =12, dimg=-10, and dimα prime =-2.

[c10] K. Bardakçi, Nucl. Phys. B68, 331 (1974); ibid. B70, 397 (1974); ibid. B133, 297 (1978); K. Bardakçi and M. Halpern, ibid B73, 295 (1974); ibid. B96, 285 (1975); Phys. Rev. D 10, 4230 (1974).

[c11] L. J. Dixon and J. A. Harvey, Nucl. Phys. B274, 93 (1986); N. Seiberg and E. Witten, ibid. B276, 272 (1986); L. Alvarez-Gaumé, P. Ginsparg, G. Moore and C. Vafa, Phys. Lett. B 171, 155 (1986).

[c12] K. S. Narain and M. H. Sarmadi, Phys. Lett. B 184, 165 (1987).

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