Strings as sigma models and in the tensionless limit

dc.creatorPersson, Jonas
dc.date2007-05-16
dc.date.accessioned2026-07-07T13:03:56Z
dc.date.available2026-07-07T13:03:56Z
dc.descriptionThis thesis considers two different aspects of string theory, the tensionless limit of the string and supersymmetric sigma models. The tensionless limit is used to find a IIB supergravity background generated by a tensionless string. Quantization of the tensionless string in a pp-wave background is performed and the tensionless limit is found to commute with quantization. Further, the sigma model with N=(2,2) extended world-sheet supersymmetry is considered and the requirement on the target space to have a bi-Hermitean geometry is reviewed. It is shown that the equivalence between bi-Hermitean geometry and generalized Kahler follows, in this context, from the equivalence between the Lagrangian- and Hamiltonian formulation of the model. Moreover, the explicit T-duality transformation in the Hamiltonian formulation of the sigma model is constructed and shown to be a symplectomorphism. Under certain assumptions, the amount of extended supersymmetry present in the sigma model is shown to be preserved under T-duality. Further, by requiring N=(2,2) extended supersymmetry in a first order formulation of the sigma model an intriguing geometrical structure arises and in a special case generalized complex geometry is found to be contained in the new framework.
dc.descriptionPhD Thesis, viii+127 pages
dc.identifierhttps://arxiv.org/abs/0705.2346
dc.identifierhttp://arxiv.org/abs/0705.2346
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226987
dc.subjectHigh Energy Physics - Theory
dc.titleStrings as sigma models and in the tensionless limit
dc.typetext

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