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

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

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-

Roots

Basic sciences

Subject Categories

Other Physics Topics

DOI

10.1007/JHEP06(2011)125

More information

Latest update

3/19/2018