We clarify the role played by BPS states in the calculation of threshold corrections of D = 4, N = 2 heterotic string compactifications. We evaluate these corrections for some classes of compactifications and show that they are sums of logarithmic functions over the positive roots of generalized Kac-Moody algebras. Moreover, a certain limit of the formulae suggests a reformulation of heterotic string in terms of a gauge theory based on hyperbolic algebras such as E10. We define a generalized Kac-Moody Lie superalgebra associated to the BPS states. Finally we discuss the relation of our results with string duality.
Nuclear Physics B
- Pub Date:
- February 1996
- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Quantum Algebra
- 64 pages, harvmac (b), Discussion of BRST improved, typos fixed, two references added