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Extended supersymmetry of semichiral sigma models in 4D
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, 170Article in journal (Refereed) Published
Abstract [en]

Briefly: using a novel (1, 1) superspace formulation of semichiral sigma models with 4D target space, we investigate if an extended supersymmetry in terms of semichirals is compatible with having a 4D target space with torsion. In more detail: semichiral sigma models have (2, 2) supersymmetry and Generalized Kahler target space geometry by construction. They can also support (4, 4) supersymmetry and Generalized Hyperkahler geometry, but when the target space is four dimensional indications are that the geometry is restricted to Hyperkahler. To investigate this further, we reduce the model to (1, 1) superspace and construct the extra (on-shell) supersymmetries there. We then find the conditions for a lift to (2, 2) super space and semichiral fields to exist. Those conditions are shown to hold for Hyperkahler geometries. The SU(2) aSu U(1) WZW model, which has (4, 4) supersymmetry and a semichiral description, is also investigated. The additional supersymmetries are found in (1, 1) superspace but shown not to be liftable to a (2, 2) semichiral formulation.

Place, publisher, year, edition, pages
2015. no 2, 170
Keyword [en]
Extended Supersymmetry, Differential and Algebraic Geometry, Sigma Models
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-248830DOI: 10.1007/JHEP02(2015)170ISI: 000350474700001OAI: oai:DiVA.org:uu-248830DiVA: diva2:801222
Funder
Swedish Research Council, 621-2013-4245
Available from: 2015-04-08 Created: 2015-04-08 Last updated: 2017-12-04Bibliographically approved

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Lindström, Ulf

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