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Diffeomorphism algebra structure and membrane theory
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.). Korea Inst Adv Study, South Korea.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2012 (English)In: Analysis and Mathematical Physics, ISSN 1664-2368, E-ISSN 1664-235X, Vol. 2, no 3, 277-283 p.Article in journal (Refereed) Published
Abstract [en]

Explicit structure constants are calculated for Lie algebras of vectorfields on 2-dimensional compact manifolds.

Place, publisher, year, edition, pages
2012. Vol. 2, no 3, 277-283 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-169847DOI: 10.1007/s13324-012-0033-6ISI: 000209055100004OAI: oai:DiVA.org:kth-169847DiVA: diva2:827105
Funder
Swedish Research Council
Note

QC 20150626

Available from: 2015-06-26 Created: 2015-06-23 Last updated: 2017-12-04Bibliographically approved
In thesis
1. On various aspects of extended objects
Open this publication in new window or tab >>On various aspects of extended objects
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

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.
Series
TRITA-MAT-A, 2016:04
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kth:diva-186153 (URN)978-91-7595-979-5 (ISBN)
Public defence
2016-06-10, sal F3, Lindstedtsvägen 25, Stockholm, 14:00 (English)
Opponent
Supervisors
Note

QC 20160517

Available from: 2016-05-17 Created: 2016-05-03 Last updated: 2016-07-08Bibliographically approved

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