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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics