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 |
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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 |
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ndltd-UPSALLA1-oai-DiVA.org-kth-1861532016-05-18T05:15:01ZOn various aspects of extended objectsengHynek, MariuszKTH, Matematik (Avd.)2016This 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>Doctoral thesis, comprehensive summaryinfo:eu-repo/semantics/doctoralThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-186153urn:isbn:978-91-7595-979-5application/pdfinfo:eu-repo/semantics/openAccess |
| collection |
NDLTD |
| language |
English |
| format |
Doctoral Thesis |
| sources |
NDLTD |
| description |
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> |
| author |
Hynek, Mariusz |
| spellingShingle |
Hynek, Mariusz On various aspects of extended objects |
| author_facet |
Hynek, Mariusz |
| author_sort |
Hynek, Mariusz |
| title |
On various aspects of extended objects |
| title_short |
On various aspects of extended objects |
| title_full |
On various aspects of extended objects |
| title_fullStr |
On various aspects of extended objects |
| title_full_unstemmed |
On various aspects of extended objects |
| title_sort |
on various aspects of extended objects |
| publisher |
KTH, Matematik (Avd.) |
| publishDate |
2016 |
| url |
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-186153 http://nbn-resolving.de/urn:isbn:978-91-7595-979-5 |
| work_keys_str_mv |
AT hynekmariusz onvariousaspectsofextendedobjects |
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