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.

p277

v559

threshold correction

duality

Superstrings and Heterotic Strings

modular-forms

symmetry

bert rw

kac-moody algebras

1995

p571

bps states

string

curves

Models in String Theory

v172

nef f

automorphic-forms

Gauge Symmetry

eng mcn

erger k

lie-algebra

1000

1000

Conformal Field

Topological Strings

1999

couplings

Författare

Matthias R. Gaberdiel

ETH Zurich

S. Hohenegger

Max Planck Institut fur Physik (Werner-Heisenberg-Institut)

ETH Zurich

Daniel Persson

Chalmers, Teknisk fysik, Matematisk fysik

Journal of High Energy Physics

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

Vol. 2011 125-

Fundament

Grundläggande vetenskaper

Ämneskategorier

Annan fysik

DOI

10.1007/JHEP06(2011)125