### Abstract

A new form is derived for the generating function, χ^{[λ]}(x) = Σ_{n=0}
^{∞}x^{n}χ_{n}
^{[λ]}, which counts the number of times, χ_{n}
^{[λ]}, that the irreducible O(D - 1) rotation group representation [λ] appears at the nth mass level for the bosonic string. The derivation goes through for arbitrary old spatial dimensions, D - 1 = 2v + 1. Simplifications of the results are noted for large v and the relation to a previously obtained formula for χ^{[λ]}(x) is explained.

Original language | English (US) |
---|---|

Pages (from-to) | 47-52 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 175 |

Issue number | 1 |

DOIs | |

State | Published - Jul 24 1986 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*175*(1), 47-52. https://doi.org/10.1016/0370-2693(86)90329-1

**Spin content of the bosonic string.** / Curtright, Thomas; Thorn, C. B.; Goldstone, J.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 175, no. 1, pp. 47-52. https://doi.org/10.1016/0370-2693(86)90329-1

}

TY - JOUR

T1 - Spin content of the bosonic string

AU - Curtright, Thomas

AU - Thorn, C. B.

AU - Goldstone, J.

PY - 1986/7/24

Y1 - 1986/7/24

N2 - A new form is derived for the generating function, χ[λ](x) = Σn=0 ∞xnχn [λ], which counts the number of times, χn [λ], that the irreducible O(D - 1) rotation group representation [λ] appears at the nth mass level for the bosonic string. The derivation goes through for arbitrary old spatial dimensions, D - 1 = 2v + 1. Simplifications of the results are noted for large v and the relation to a previously obtained formula for χ[λ](x) is explained.

AB - A new form is derived for the generating function, χ[λ](x) = Σn=0 ∞xnχn [λ], which counts the number of times, χn [λ], that the irreducible O(D - 1) rotation group representation [λ] appears at the nth mass level for the bosonic string. The derivation goes through for arbitrary old spatial dimensions, D - 1 = 2v + 1. Simplifications of the results are noted for large v and the relation to a previously obtained formula for χ[λ](x) is explained.

UR - http://www.scopus.com/inward/record.url?scp=0002626686&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002626686&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(86)90329-1

DO - 10.1016/0370-2693(86)90329-1

M3 - Article

AN - SCOPUS:0002626686

VL - 175

SP - 47

EP - 52

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -