Physical Spectrum of Compactified Strings

L. Dolan; R. Slansky

doi:10.1103/PhysRevLett.54.2075

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Physical Spectrum of Compactified Strings

L. Dolan

R. Slansky

The Rockefeller University, New York, New York 10021

Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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Phys. Rev. Lett. 54, 2075 – Published 13 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2075

Abstract

The single-particle states of compactified bosonic string theory are classified by a direct product of a fundamental representation of the Heisenberg algebra for the noncompact flat dimensions and an affine- $g$ Lie algebra, where the rank of its Lie subalgebra $g$ is the number of internal dimensions and its identity depends on their length scales. The operators that create these states are explicitly constructed in light-cone gauge. The massless particles lie in the adjoint representation of $g$ .

References (15)

A. Salam and J. Strathdee, Ann. Phys. (N.Y.) 141, 316 (1982)
E. Cremmer and J. Scherk, Nucl. Phys. B103, 399 (1976)
V. G. Kac, Math. USSR-Izv. 2, 1271 (1968) R. V. Moody, J. Algebra 10, 211 (1968)
D. J. Gross, J. A. Harvey, E. Martinec, and R. Rohm, to be published P. G. O. Freund, University of California at Santa Barbara Report No. NSF-ITP-84-157, 1984 (to be published)
L. Dolan and R. Slansky, to be published
I. B. Frenkel and V. G. Kac, Invent. Math. 62, 23 (1980) J. Lepowsky and R. L. Wilson, Commun. Math. Phys. 62, 43 (1978) G. Segal, 80, 301 (1981)
P. Goddard, J. Goldstone, C. Rebbi, and C. Thorn, Nucl. Phys. B56, 109 (1973) P. GoddardJ. GoldstoneC. RebbiC. ThornDual Theory, edited by M. Jacob (North-Holland, Amsterdam, 1975) P. Frampton, Dual Resonance Models (Benjamin, New York, 1974)
E. Del Guidice, P. Di Vecchia, and S. Fubini, Ann. Phys. (N.Y.) 70, 378 (1972)
p. 283 of S. Mandelstam, Phys. Rep. 13, 259 (1974)
R. Slansky, Phys. Rep. 79, 1 (1981)
A. J. Feingold and J. Lepowsky, Adv. Math. 29, 271 (1978) V. G. Kac, in Group Theoretical Methods in Physics, edited by H. Araki, Springer Lecture Notes in Physics, Vol. 94 (Springer-Verlag, Berlin, 1979), p. 441
M. Bremner, R. V. Moody, and J. Patera, Tables of Dominant Weight Multiplicities (Dekker, New York, 1984)
I. B. Frenkel, to be published
P. Goddard and D. Olive, to be published
L. Dolan, Phys. Rep. 109, 1 (1984)

[c1] A. Salam and J. Strathdee, Ann. Phys. (N.Y.) 141, 316 (1982)

[c2] E. Cremmer and J. Scherk, Nucl. Phys. B103, 399 (1976)

[c3] V. G. Kac, Math. USSR-Izv. 2, 1271 (1968) R. V. Moody, J. Algebra 10, 211 (1968)

[c4] D. J. Gross, J. A. Harvey, E. Martinec, and R. Rohm, to be published P. G. O. Freund, University of California at Santa Barbara Report No. NSF-ITP-84-157, 1984 (to be published)

[c5] L. Dolan and R. Slansky, to be published

[c6] I. B. Frenkel and V. G. Kac, Invent. Math. 62, 23 (1980) J. Lepowsky and R. L. Wilson, Commun. Math. Phys. 62, 43 (1978) G. Segal, 80, 301 (1981)

[c7] P. Goddard, J. Goldstone, C. Rebbi, and C. Thorn, Nucl. Phys. B56, 109 (1973) P. GoddardJ. GoldstoneC. RebbiC. ThornDual Theory, edited by M. Jacob (North-Holland, Amsterdam, 1975) P. Frampton, Dual Resonance Models (Benjamin, New York, 1974)

[c8] E. Del Guidice, P. Di Vecchia, and S. Fubini, Ann. Phys. (N.Y.) 70, 378 (1972)

[c9] p. 283 of S. Mandelstam, Phys. Rep. 13, 259 (1974)

[c10] R. Slansky, Phys. Rep. 79, 1 (1981)

[c11] A. J. Feingold and J. Lepowsky, Adv. Math. 29, 271 (1978) V. G. Kac, in Group Theoretical Methods in Physics, edited by H. Araki, Springer Lecture Notes in Physics, Vol. 94 (Springer-Verlag, Berlin, 1979), p. 441

[c12] M. Bremner, R. V. Moody, and J. Patera, Tables of Dominant Weight Multiplicities (Dekker, New York, 1984)

[c13] I. B. Frenkel, to be published

[c14] P. Goddard and D. Olive, to be published

[c15] L. Dolan, Phys. Rep. 109, 1 (1984)

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