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Geometry of BV Quantization and Mathai-Quillen Formalism
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2013 (English)Independent thesis Advanced level (degree of Master (One Year)), 30 credits / 45 HE creditsStudent thesis
Abstract [en]

Mathai-Quillen (MQ) formalism is a prescription to construct a Gaussian shaped Thom form for a vector bundle. The aim of this master thesis is to formulate a new Thom form representative using geometrical aspects of Batalin-Vilkovisky (BV) quantization. In the first part of the work we review the BV and MQ formalisms both in finite dimensional setting. Finally, to achieve our purpose, we will exploit the odd Fourier transform considering the MQ representative as a function over the appropriate graded manifold.

Place, publisher, year, edition, pages
National Category
Subatomic Physics Geometry
URN: urn:nbn:se:uu:diva-210071OAI: diva2:660753
2013-10-30, 14:43 (English)
Available from: 2013-11-14 Created: 2013-10-30 Last updated: 2013-11-14Bibliographically approved

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