Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-08-16
Mod.Phys.Lett.A10:823-830,1995
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, G\"oteborg ITP 94-8
Scientific paper
10.1142/S0217732395000879
Explicit expressions are presented for general branching functions for cosets of affine Lie algebras $\hat{g}$ with respect to subalgebras $\hat{g}^\prime$ for the cases where the corresponding finite dimensional algebras $g$ and $g^\prime$ are such that $g$ is simple and $g^\prime$ is either simple or sums of $u(1)$ terms. A special case of the latter yields the string functions. Our derivation is purely algebraical and has its origin in the results on the BRST cohomology presented by us earlier. We will here give an independent and simple proof of the validity our results. The method presented here generalizes in a straightforward way to more complicated $g$ and $g^\prime$ such as {\it e g } sums of simple and $u(1)$ terms.
Hwang Stephen
Rhedin Henric
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