Borcherds algebras and N=4 topological amplitudes
Artikel i vetenskaplig tidskrift, 2011

The perturbative spectrum of BPS-states in the E(8)xE(8) heterotic string theory compactified on T(2) is analysed. We show that the space of BPS-states forms a representation of a certain Borcherds algebra G which we construct explicitly using an auxiliary conformal field theory. The denominator formula of an extension G(ext) superset of G of this algebra is then found to appear in a certain heterotic one-loop N = 4 topological string amplitude. Our construction thus gives an N = 4 realisation of the idea envisioned by Harvey and Moore, namely that the 'algebra of BPS-states' controls the threshold corrections in the heterotic string.

automorphic-forms

lie-algebra

Conformal Field

kac-moody algebras

Gauge Symmetry

symmetry

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Models in String Theory

Topological Strings

Superstrings and Heterotic Strings

eng mcn

duality

p277

1000

couplings

modular-forms

1995

curves

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string

bert rw

threshold correction

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p571

v172

bps states

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Författare

Matthias R. Gaberdiel

Eidgenössische Technische Hochschule Zürich (ETH)

S. Hohenegger

Max Planck-institutet

Eidgenössische Technische Hochschule Zürich (ETH)

Daniel Persson

Chalmers, Teknisk fysik, Matematisk fysik

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2011 6 125-

Fundament

Grundläggande vetenskaper

Ämneskategorier

Annan fysik

DOI

10.1007/JHEP06(2011)125