The low-energy effective action for perturbative heterotic strings on K3 × T2 and the d = 4 N = 2 vector-tensor multiplet

1997/09/30 by R. Siebelink · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00206-5

published as Nucl.Phys. B524 (1998) 86-128 · 36 pages, Latex 209, no figures, v2: minor textual changes

arxiv created 1998/06/19 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider d=4 N=2 supergravity theories which serve as low-energy effective actions for heterotic strings on K₃ × T². At the perturbative level we construct a new version of the heterotic effective action in which the axion has been traded for an antisymmetric tensor field. In the string frame the antisymmetric tensor doesn't transform under Poincaré supersymmetry into the dilaton-dilatini system. This indicates that in this frame the antisymmetric tensor field and the dilaton are not contained in an N=2 vector-tensor multiplet. Instead, we find that the heterotic dilaton is part of a compensating hypermultiplet, whereas the antisymmetric tensor is part of the gravitational multiplet. In order to obtain our results we use superconformal techniques. This enables us to comment on the range of applicability of this particular framework.

Citations

• Superspace effective actions for 4D compactifications of heterotic and Type II superstrings
• Algebras, BPS states, and strings
• Symmetry structure of special geometries
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
• K3-fibrations and heterotic-type II string duality
• Exact results for N = 2 compactifications of heterotic strings

Cited by

• The linear vector-tensor multiplet with gauged central charge