On various aspects of extended objects
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
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.
Place, publisher, year, edition, pages
KTH Royal Institute of Technology, 2016. , 20 p.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-186153ISBN: 978-91-7595-979-5OAI: oai:DiVA.org:kth-186153DiVA: diva2:925722
2016-06-10, sal F3, Lindstedtsvägen 25, Stockholm, 14:00 (English)
Bach, Volker, Prof
Hoppe, Jens, Prof
QC 201605172016-05-172016-05-032016-07-08Bibliographically approved
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