Algebras, BPS states, and strings

Jeffrey A. Harvey, Gregory Moore

Research output: Contribution to journalArticlepeer-review

298 Scopus citations

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 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.

Original languageEnglish (US)
Pages (from-to)315-368
Number of pages54
JournalNuclear Physics B
Volume463
Issue number2-3
DOIs
StatePublished - Mar 25 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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