Semichiral sigma models with 4d hyperkähler geometry

M. Göteman; U. Lindström; M. Roček

doi:10.1007/JHEP01(2013)073

Semichiral sigma models with 4d hyperkähler geometry

M. Göteman
, U. Lindström
, M. Roček

Institute for Theoretical Physics

Uppsala University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Semichiral sigma models with a four-dimensional target space do not support extended N = (4, 4) supersymmetries off-shell [1,2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2, 2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkähler geometry. We give non-trivial examples of these models.

Original language	English
Article number	73
Journal	Journal of High Energy Physics
Volume	2013
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2013)073
State	Published - 2013

Keywords

Differential and Algebraic Geometry
Extended Supersymmetry
String Duality
Supersymmetry and Duality

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10.1007/JHEP01(2013)073

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abstract = "Semichiral sigma models with a four-dimensional target space do not support extended N = (4, 4) supersymmetries off-shell [1,2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2, 2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperk{\"a}hler geometry. We give non-trivial examples of these models.",

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AU - Lindström, U.

AU - Roček, M.

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N2 - Semichiral sigma models with a four-dimensional target space do not support extended N = (4, 4) supersymmetries off-shell [1,2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2, 2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkähler geometry. We give non-trivial examples of these models.

AB - Semichiral sigma models with a four-dimensional target space do not support extended N = (4, 4) supersymmetries off-shell [1,2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2, 2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkähler geometry. We give non-trivial examples of these models.

KW - Differential and Algebraic Geometry

KW - Extended Supersymmetry

KW - String Duality

KW - Supersymmetry and Duality

UR - https://www.scopus.com/pages/publications/84873289675

U2 - 10.1007/JHEP01(2013)073

DO - 10.1007/JHEP01(2013)073

M3 - Article

AN - SCOPUS:84873289675

SN - 1126-6708

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

M1 - 73

ER -

Semichiral sigma models with 4d hyperkähler geometry

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Keywords

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