M theory on eight manifolds
May, 199617 pages
Published in:
- Nucl.Phys.B 477 (1996) 155-167
e-Print:
- hep-th/9605053 [hep-th]
Report number:
- NSF-ITP-96-19
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Abstract:
We show that in certain compactifications of -theory on eight-manifolds to three-dimensional Minkowski space-time the four-form field strength can have a non-vanishing expectation value, while an supersymmetry is preserved. For these compactifications a warp factor for the metric has to be taken into account. This warp factor is non-trivial in three space-time dimensions due to Chern-Simons corrections to the fivebrane Bianchi identity. While the original metric on the internal space is not K\"ahler, it can be conformally transformed to a metric that is K\"ahler and Ricci flat, so that the internal manifold has holonomy.Note:
- 16 pages, harvmac Report-no: NSF-ITP-96-19
- supergravity
- dimension: 11
- compactification
- field theory: tensor
- supersymmetry: symmetry breaking
- field theory: M-theory
- dimension: 8
- differential geometry
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