Borcherds algebras and N=4 topological amplitudes
Journal article, 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
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couplings
modular-forms
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curves
nef f
string
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threshold correction
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p571
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bps states
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Author
Matthias R. Gaberdiel
Swiss Federal Institute of Technology in Zürich (ETH)
S. Hohenegger
Max Planck Society
Swiss Federal Institute of Technology in Zürich (ETH)
Daniel Persson
Chalmers, Applied Physics, Mathematical Physics
Journal of High Energy Physics
1126-6708 (ISSN) 1029-8479 (eISSN)
Vol. 2011 6 125- 125Roots
Basic sciences
Subject Categories
Other Physics Topics
DOI
10.1007/JHEP06(2011)125