On various aspects of extended objects
This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski space. In particular, we study the Lie algebra of diffeomorphisms on 2 dimensional compact manifolds as well as discuss singularity formation for relativistic minimal surfaces in co-dimension one. We a...
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| Format: | Doctoral Thesis |
| Language: | English |
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KTH, Matematik (Avd.)
2016
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| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-186153 http://nbn-resolving.de/urn:isbn:978-91-7595-979-5 |
| Summary: | This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski space. In particular, we study the Lie algebra of diffeomorphisms on 2 dimensional compact manifolds as well as discuss singularity formation for relativistic minimal surfaces in co-dimension one. We also present a new approach to the Lorentz anomaly in string theory based on operator product expansion. Finally, we consider the spectrum of a family of Schr\"odinger operators describing quantum minimal surfaces and provide bounds for the eigenvalues for finite $N$ as well as in the limit where N tends to infinity. === <p>QC 20160517</p> |
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