Algebras, BPS States, and Strings

Abstract

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 $E_{10}$. We define a generalized Kac-Moody Lie superalgebra associated to the BPS states. Finally we discuss the relation of our results with string duality.

64 pages, harvmac (b), Discussion of BRST improved, typos fixed, two references added

References in corpus (10)

• Dirichlet-Branes and Ramond-Ramond Charges
• Exact Results for N=2 Compactifications of Heterotic Strings
• K3--Fibrations and Heterotic-Type II String Duality
• Black Hole Condensation and the Unification of String Vacua
• Aspects of Duality in N=2 String Vacua
• Moduli Dependence of One--Loop Gauge Couplings in (0,2) Compactifications
• Chains of N=2, D=4 heterotic/type II duals
• A GAS OF D-INSTANTONS
• A Stringy Test of the Fate of the Conifold
• K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry

Cited by in corpus (273)

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• Gromov-Witten Theory and Threshold Corrections
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