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Extended supersymmetric sigma models in AdS(4) from projective superspacePrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 5, 138- p.Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2012. no 5, 138- p.
##### Keyword [en]

Supersymmetry and Duality, Extended Supersymmetry, Superspaces, Supersymmetric Effective Theories
##### National Category

Physical Sciences
##### Identifiers

URN: urn:nbn:se:uu:diva-178141DOI: 10.1007/JHEP05(2012)138ISI: 000305238600058OAI: oai:DiVA.org:uu-178141DiVA: diva2:542216
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Available from: 2012-07-30 Created: 2012-07-30 Last updated: 2012-07-30Bibliographically approved

There exist two superspace approaches to describe N = 2 supersymmetric nonlinear sigma-models in four-dimensional anti-de Sitter (AdS(4)) space: (i) in terms of N = 1 Ads chiral superfields, as developed in arXiv:1105.3111 and arXiv:1108.5290; and (ii) in terms of N = 2 polar supermultiplets using the AdS projective-superspace techniques developed in arXiv:0807.3368. The virtue of the approach (i) is that it makes manifest the geometric properties of the N = 2 supersymmetric sigma-models in AdS(4). The target space must be a non-compact hyperkahler manifold endowed with a Killing vector field which generates an SO(2) group of rotations on the two-sphere of complex structures. The power of the approach (ii) is that it allows us, in principle, to generate hyperkahler metrics as well as to address the problem of deformations of such metrics. Here we show how to relate the formulation (ii) to (i) by integrating out an infinite number of N = 1 AdS auxiliary superfields and performing a superfield duality transformation. We also develop a novel description of the most general N = 2 supersymmetric nonlinear sigma-model in AdS(4) in terms of chiral superfields on three-dimensional N = 2 flat superspace without central charge. This superspace naturally originates from a conformally flat realization for the four-dimensional N = 2 AdS superspace that makes use of Poincare coordinates for AdS(4). This novel formulation allows us to uncover several interesting geometric results.

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