Borcherds algebras and N=4 topological amplitudes

• 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.

Ämnesord

NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

Nyckelord

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

Publikations- och innehållstyp

art (ämneskategori)

ref (ämneskategori)