T-duality and non-local supersymmetries |
| |
| Institution: | 1. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China;2. University of Chinese Academy of Sciences, 100190 Beijing, China;3. Department of Physics, National Taiwan Normal University, Taipei 116, Taiwan;4. Department of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235, USA;5. Department of Physics, University of Illinois at Chicago, IL 60607, USA;6. Institute of Physics, Academia Sinica, Nangang, Taipei 11529, Taiwan;1. Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia;2. Kharkevich Institute for Information Transmission Problems, 127994 Moscow, Russia |
| |
| Abstract: | We study the non-localization of extended worldsheet supersymmetry under T-duality, when the associated complex structure depends on the coordinate with respect to which duality is performed. First, the canonical transformation which implements T-duality is generalized to the supersymmetric non-linear σ-models. Then, we obtain the non-local object which replaces the complex structure in the dual theory and write down the condition it should satisfy so that the dual action is invariant under the non-local supersymmetry. For the target space, this implies that the supersymmetry transformation parameter is a non-local spinor. The analogue of the Killing equation for this non-local spinor is obtained. It is argued that in the target space the supersymmetry is no longer realized in the standard way. The string theoretic origin of this phenomenon is briefly discussed. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
