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Generalized geometry and DFT applications to closed string theory

Vogel, Jesse (2018) Generalized geometry and DFT applications to closed string theory. Bachelor's Thesis, Mathematics.

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Abstract

In this thesis, we introduce and explore the subjects of generalized geometry, string theory and double field theory. Within generalized geometry, a framework is set up leading towards the definition of generalized complex structures. We describe both symplectic and complex structures as particular cases of such structures. From scratch, closed string theory on toroidal backgrounds is developed, and the non-trivial symmetry of T-duality is shown to emerge from this theory. We use double field theory to reformulate the closed string theory in order to turn T-duality into a manifest symmetry. A number of other applications of double field theory are explored, where we find that it is able to unify different concepts. Also we discuss the similarities between double field theory and generalized geometry.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Roest, D.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 13 Jul 2018
Last Modified: 23 Mar 2020 11:49
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/17858

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