Change search
ReferencesLink to record
Permanent link

Direct link
N=(4,4) supersymmetry and T-duality
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. (Teoretisk fysik)
2012 (English)In: Symmetry, ISSN 2073-8994, Vol. 4, no 4, 603-625 p.Article in journal (Refereed) Published
Place, publisher, year, edition, pages
MDPI , 2012. Vol. 4, no 4, 603-625 p.
Keyword [en]
supersymmetry, sigma models, semichiral superfields, T-duality
National Category
Other Physics Topics
Research subject
High Energy Physics; Mathematics
URN: urn:nbn:se:uu:diva-183406DOI: 10.3390/sym4040603ISI: 000208832800003OAI: diva2:562704
Available from: 2012-10-26 Created: 2012-10-25 Last updated: 2015-01-28Bibliographically approved
In thesis
1. The Complex World of Superstrings: On Semichiral Sigma Models and N=(4,4) Supersymmetry
Open this publication in new window or tab >>The Complex World of Superstrings: On Semichiral Sigma Models and N=(4,4) Supersymmetry
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Alternative title[sv]
Supersträngars komplexa värld : Om semikirala sigmamodeller och N=(4,4) supersymmetri
Abstract [en]

Non-linear sigma models with extended supersymmetry have constrained target space geometries, and can serve as effective tools for investigating and constructing new geometries. Analyzing the geometrical and topological properties of sigma models is necessary to understand the underlying structures of string theory.

The most general two-dimensional sigma model with manifest N=(2,2) supersymmetry can be parametrized by chiral, twisted chiral and semichiral superfields. In the research presented in this thesis, N=(4,4) (twisted) supersymmetry is constructed for a semichiral sigma model. It is found that the model can only have additional supersymmetry off-shell if the target space has a dimension larger than four. For four-dimensional target manifolds, supersymmetry can be introduced on-shell, leading to a hyperkähler manifold, or pseudo-supersymmetry can be imposed off-shell, implying a target space which is neutral hyperkähler.

Different sigma models and corresponding geometries can be related to each other by T-duality, obtained by gauging isometries of the Lagrangian. The semichiral vector multiplet and the large vector multiplet are needed for gauging isometries mixing semichiral superfields, and chiral and twisted chiral superfields, respectively. We find transformations that close off-shell to a N=(4,4) supersymmetry on the field strengths and gauge potentials of the semichiral vector multiplet, and show that this is not possible for the large vector multiplet.

A sigma model parametrized by chiral and twisted chiral superfields can be related to a semichiral sigma model by T-duality. The N=(4,4) supersymmetry transformations of the former model are linear and close off-shell, whereas those of the latter are non-linear and close only on-shell. We show that this discrepancy can be understood from T-duality, and find the origin of the non-linear terms in the transformations.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2012. 131 p.
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 989
Non-linear sigma models, extended supersymmetry, semichiral superfields, (neutral) hyperkähler geometry, generalized Kähler geometry, T-duality, vector multiplets
National Category
Other Physics Topics
Research subject
Theoretical Physics
urn:nbn:se:uu:diva-183407 (URN)978-91-554-8519-1 (ISBN)
Public defence
2012-12-14, Häggsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Available from: 2012-11-23 Created: 2012-10-25 Last updated: 2013-02-11Bibliographically approved

Open Access in DiVA

fulltext(389 kB)31 downloads
File information
File name FULLTEXT02.pdfFile size 389 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Göteman, Malin
By organisation
Department of Physics and Astronomy
Other Physics Topics

Search outside of DiVA

GoogleGoogle Scholar
Total: 31 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 187 hits
ReferencesLink to record
Permanent link

Direct link