Quaternionic torsion geometry, superconformal symmetry and t-duality

TY - GEN

T1 - Quaternionic torsion geometry, superconformal symmetry and t-duality

AU - Swann, Andrew

PY - 2009/4/23

Y1 - 2009/4/23

N2 - HyperKahler metrics with torsion (HKT metrics) are constructed via superconformal symmetry. It is shown how T-duality interpreted as a twist construction for circle actions provides a number of compact simply-connected examples. Further applications of the twist construction are discussed to obtain compact simply-connected HKT manifolds with few symmetries and to construct all HKT nilmanifolds.

AB - HyperKahler metrics with torsion (HKT metrics) are constructed via superconformal symmetry. It is shown how T-duality interpreted as a twist construction for circle actions provides a number of compact simply-connected examples. Further applications of the twist construction are discussed to obtain compact simply-connected HKT manifolds with few symmetries and to construct all HKT nilmanifolds.

KW - HKT metric

KW - Nilmanifold

KW - Superconformal symmetry

KW - T-duality

UR - http://www.scopus.com/inward/record.url?scp=64849099619&partnerID=8YFLogxK

U2 - 10.1063/1.3089201

DO - 10.1063/1.3089201

M3 - Conference article

AN - SCOPUS:64849099619

SN - 0094-243X

VL - 1093

SP - 162

EP - 179

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

T2 - Workshop on Geometry and Physics: Special Metrics and Supersymmetry

Y2 - 29 May 2008 through 31 May 2008

ER -