Superconformal symmetry and hyperKaehler manifolds with torsion

Details Superconformal symmetry and hyperKaehler manifolds with torsion Superconformal symmetry and hyperKaehler manifolds with torsion

2001-11-27

arxiv.org/abs/math/0111276v1

Commun.Math.Phys. 241 (2003) 177-189

Mathematics

Differential Geometry

16 pages

Scientific paper

10.1007/s00220-003-0914-5

The geometry arising from Michelson & Strominger's study of N=4B supersymmetric quantum mechanics with superconformal D(2,1;alpha)-symmetry is a hyperKaehler manifold with torsion (HKT) together with a special homothety. It is shown that different parameters alpha are related via changes in potentials for the HKT target spaces. For alpha not 0 or -1, we describe how each such HKT 4m-manifold M is derived from a space N of dimension 4m-4 which is quaternionic Kaehler with torsion and carries an Abelian instanton.

Affiliated with

Also associated with

No associations

Rating

Superconformal symmetry and hyperKaehler manifolds with torsion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Superconformal symmetry and hyperKaehler manifolds with torsion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Superconformal symmetry and hyperKaehler manifolds with torsion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-252573