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 KacMoody 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 KacMoody Lie superalgebra associated to the BPS states. Finally we discuss the relation of our results with string duality.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(95)006052
 arXiv:
 arXiv:hepth/9510182
 Bibcode:
 1996NuPhB.463..315H
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry;
 Mathematics  Quantum Algebra
 EPrint:
 64 pages, harvmac (b), Discussion of BRST improved, typos fixed, two references added