Superconformal Symmetry and HyperKähler Manifolds with Torsion

TY - JOUR

T1 - Superconformal Symmetry and HyperKähler Manifolds with Torsion

AU - Poon, Yat Sun

AU - Swann, Andrew

PY - 2003/1/1

Y1 - 2003/1/1

N2 - The geometry arising from Michelson & Strominger's study of N = 4B supersymmetric quantum mechanics with superconformai D(2, 1; α)-symmetry is a hyperKähler manifold with torsion (HKT) together with a special homothety. It is shown that different parameters α are related via changes in potentials for the HKT target spaces. For α ≠ 0, -1, we describe how each such HKT manifold M4m is derived from a space N4m-4 which is quaternionic Kähler with torsion and carries an Abelian instanton.

AB - The geometry arising from Michelson & Strominger's study of N = 4B supersymmetric quantum mechanics with superconformai D(2, 1; α)-symmetry is a hyperKähler manifold with torsion (HKT) together with a special homothety. It is shown that different parameters α are related via changes in potentials for the HKT target spaces. For α ≠ 0, -1, we describe how each such HKT manifold M4m is derived from a space N4m-4 which is quaternionic Kähler with torsion and carries an Abelian instanton.

UR - http://www.scopus.com/inward/record.url?scp=0142168481&partnerID=8YFLogxK

U2 - 10.1007/s00220-003-0914-5

DO - 10.1007/s00220-003-0914-5

M3 - Journal article

AN - SCOPUS:0142168481

SN - 0010-3616

VL - 241

SP - 177

EP - 189

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -