Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-06-12
Nucl.Phys.B508:659-699,1997
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 37 pages. Some typos fixed. Final version, to appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(97)00634-2
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.
Behrndt Klaus
Gaida Ingo
Lust Dieter
Mahapatra Swapna
Mohaupt Thomas
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