From Type IIA Black Holes to T-dual Type IIB D-Instantons in N=2, D=4 Supergravity
Abstract
We discuss the T-duality between the solutions of type IIA versus IIB superstrings compactified on Calabi-Yau threefolds. Within the context of the N=2, D=4 supergravity effective Lagrangian, the T-duality transformation is equivalently described by the c-map, which relates the special Kahler moduli space of the IIA N=2 vector multiplets to the quaternionic moduli space of the N=2 hyper multiplets on the type IIB side (and vice versa). Hence the T-duality, or c-map respectively, transforms the IIA black hole solutions, originating from even dimensional IIA branes, of the special Kahler effective action, into IIB D-instanton solutions of the IIB quaternionic sigma-model action, where the D-instantons can be obtained by compactifying odd IIB D-branes on the internal Calabi-Yau space. We construct via this mapping a broad class of D-instanton solutions in four dimensions which are determinded by a set of harmonic functions plus the underlying topological Calabi-Yau data.
Keywords
Cite
@article{arxiv.hep-th/9706096,
title = {From Type IIA Black Holes to T-dual Type IIB D-Instantons in N=2, D=4 Supergravity},
author = {Klaus Behrndt and Ingo Gaida and Dieter Lust and Swapna Mahapatra and Thomas Mohaupt},
journal= {arXiv preprint arXiv:hep-th/9706096},
year = {2009}
}
Comments
LaTeX, 37 pages. Some typos fixed. Final version, to appear in Nucl. Phys. B