Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy

@article{Cveti2002CohomogeneityOM,
  title={Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy},
  author={Mirjam Cveti{\vc} and G. W. Gibbons and H. Q. Lu and C N Pope},
  journal={Annals of Physics},
  year={2002}
}
In this paper, we look for metrics of cohomogeneity one in D = 8 and D = 7 dimensions with Spin(7) and G2 holonomy respectively. In D = 8, we first consider the case of principal orbits that are S 7 , viewed as an S 3 bundle over S 4 with triaxial squashing of the S 3 fibres. This gives a more general system of first-order equations for Spin(7) holonomy than has been solved previously. Using numerical methods, we establish the existence of new non-singular asymptotically locally conical (ALC… 

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References

SHOWING 1-10 OF 53 REFERENCES

New cohomogeneity one metrics with spin(7) holonomy

Coset construction of Spin(7), G2 gravitational instantons

We study Ricci-flat metrics on non-compact manifolds with the exceptional holonomy Spin(7), G2. We concentrate on the metrics which are defined on R × G/H . If the homogeneous coset spaces G/H have

Supersymmetric M3-branes and G2 manifolds

Phases of supersymmetric gauge theories from M theory on G(2) manifolds

We consider M-theory on compact spaces of G2 holonomy constructed as orbifolds of the form (CY × S1)/2 with fixed point set Σ on the CY. This describes = 1 SU(2) gauge theories with b1(Σ) chiral

Cascade of special holonomy manifolds and heterotic string theory

...