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Borcherds algebras and N=4 topological amplitudes

M. R. Gaberdiel ; S. Hohenegger ; Daniel Persson (Institutionen för fundamental fysik, Matematisk fysik)
Journal of High Energy Physics (1126-6708). Vol. 2011 (2011), 6, p. 125.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Superstrings and Heterotic Strings, Gauge Symmetry, Conformal Field, Models in String Theory, Topological Strings, kac-moody algebras, automorphic-forms, threshold correction, string, duality, modular-forms, lie-algebra, bps states, couplings, symmetry, curves, nef f, 1000, erger k, 1999, v559, p277, eng mcn, 1000, bert rw, 1995, v172, p571

Denna post skapades 2011-11-21. Senast ändrad 2016-07-19.
CPL Pubid: 148792


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Institutioner (Chalmers)

Institutionen för fundamental fysik, Matematisk fysik (2005-2013)


Matematisk fysik

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