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
1999
erger k
Models in String Theory
Topological Strings
Superstrings and Heterotic Strings
eng mcn
duality
p277
1000
couplings
modular-forms
1995
curves
nef f
string
bert rw
threshold correction
1000
p571
v172
bps states
v559
Författare
Matthias R. Gaberdiel
Eidgenössische Technische Hochschule Zürich (ETH)
S. Hohenegger
Max-Planck-Gesellschaft
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- 125Fundament
Grundläggande vetenskaper
Ämneskategorier
Annan fysik
DOI
10.1007/JHEP06(2011)125