Five-Brane Effective Field Theory on Calabi-Yau Threefolds

Details Five-Brane Effective Field Theory on Calabi-Yau Threefolds Five-Brane Effective Field Theory on Calabi-Yau Threefolds

1993-06-24

arxiv.org/abs/hep-th/9306125v1

Class.Quant.Grav.11:481-492,1994

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, CERN-Th.6914/93 POLFIS-TH.04/93 UCLA/93/TEP/18

Scientific paper

10.1088/0264-9381/11/3/004

We consider the compactification of the dual form of $N=1$ $D=10$ supergravity on a six-dimensional Calabi-Yau manifold. An $N=1$ off-shell supergravity effective Lagrangian in four dimensions can be constructed in a dual version of the gravitational sector (new-minimal supergravity form). Superspace duality has a simple interpretation in terms of Poincar\'{e} duality of two-form cohomology. The resulting $4D$ Lagrangian may describe the low-energy point-field limit of a five-brane theory, dual to string theory, provided Calabi-Yau spaces are consistent vacua of such dual theory.

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