Quaternionic torsion geometry, superconformal symmetry and t-duality

Andrew Swann

doi:10.1063/1.3089201

Quaternionic torsion geometry, superconformal symmetry and t-duality

^*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Conference article › Research › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Journal	AIP Conference Proceedings
Volume	1093
Pages (from-to)	162-179
Number of pages	18
ISSN	0094-243X
DOIs	https://doi.org/10.1063/1.3089201
Publication status	Published - 23 Apr 2009
Externally published	Yes
Event	Workshop on Geometry and Physics: Special Metrics and Supersymmetry - Bilbao, Spain Duration: 29 May 2008 → 31 May 2008

Conference

Conference	Workshop on Geometry and Physics: Special Metrics and Supersymmetry
Country/Territory	Spain
City	Bilbao
Period	29/05/2008 → 31/05/2008

Keywords

HKT metric
Nilmanifold
Superconformal symmetry
T-duality

Access to Document

10.1063/1.3089201

Cite this

@inproceedings{2c4f24176b6a4e3891441596245626d9,

title = "Quaternionic torsion geometry, superconformal symmetry and t-duality",

abstract = "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.",

keywords = "HKT metric, Nilmanifold, Superconformal symmetry, T-duality",

author = "Andrew Swann",

year = "2009",

month = apr,

day = "23",

doi = "10.1063/1.3089201",

language = "English",

volume = "1093",

pages = "162--179",

journal = "AIP Conference Proceedings",

issn = "0094-243X",

publisher = "American Institute of Physics",

note = "Workshop on Geometry and Physics: Special Metrics and Supersymmetry ; Conference date: 29-05-2008 Through 31-05-2008",

}

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 -

Quaternionic torsion geometry, superconformal symmetry and t-duality

Abstract

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this