SPECIAL GEOMETRY
Jan 15, 199034 pages
Published in:
- Commun.Math.Phys. 133 (1990) 163-180
DOI:
Report number:
- UCSB-TH-89-61
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Abstract: (Springer)
Aspecial manifold is an allowed target manifold for the vector multiplets ofD=4,N=2 supergravity. These manifolds are of interest for string theory because the moduli spaces of Calabi-Yau threefolds andc=9, (2, 2) conformal field theories are special. Previous work has given a local, coordinate-dependent characterization of special geometry. A global description of special geometries is given herein, and their properties are studied. A special manifold ℳ of complex dimensionn is characterized by the existence of a holomorphicSp(2n+2,R) ⊗GL(1,C) vector bundle over ℳ with a nowhere-vanishing holomorphic section Ω. The Kähler potential on ℳ is the logarithm of theSp(2n+2,R) invariant norm of Ω.- string model
- supergravity
- field theory: Kaehler
- space-time: Calabi-Yau
- moduli space
- field theory: conformal
- differential geometry
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