Potential 1-forms for hyper-Kähler structures with torsion

TY - JOUR

T1 - Potential 1-forms for hyper-Kähler structures with torsion

AU - Ornea, Liviu

AU - Poon, Yat Sun

AU - Swann, Andrew

PY - 2003/5/7

Y1 - 2003/5/7

N2 - It is shown that an HKT space with closed parallel potential 1-form has D(2,1; -1) symmetry. Every locally conformally hyper-Kähler manifold generates this type of geometry. The HKT spaces with closed parallel potential 1-form arising in this way are characterized by their symmetries and an inhomogeneous cubic condition on their torsion.

AB - It is shown that an HKT space with closed parallel potential 1-form has D(2,1; -1) symmetry. Every locally conformally hyper-Kähler manifold generates this type of geometry. The HKT spaces with closed parallel potential 1-form arising in this way are characterized by their symmetries and an inhomogeneous cubic condition on their torsion.

UR - http://www.scopus.com/inward/record.url?scp=0038738076&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/20/9/317

DO - 10.1088/0264-9381/20/9/317

M3 - Journal article

AN - SCOPUS:0038738076

SN - 0264-9381

VL - 20

SP - 1845

EP - 1856

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 9

ER -