Spin content of the bosonic string
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.
Research supported by the US Department of Energy (Contract No. DEAC0276ER03069).
 Publication:

Physics Letters B
 Pub Date:
 July 1986
 DOI:
 10.1016/03702693(86)903291
 Bibcode:
 1986PhLB..175...47C