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Stretched quantum membranes
Karlstad University, Faculty of Technology and Science.
Karlstad University, Faculty of Technology and Science.
2005 (English)In: Nuclear Physics B, ISSN 0550-3213, Vol. 727, no 1-2, 77-98 p.Article in journal (Refereed) Published
Place, publisher, year, edition, pages
2005. Vol. 727, no 1-2, 77-98 p.
Identifiers
URN: urn:nbn:se:kau:diva-2033DOI: 10.1016/j.nuclphysb.2005.08.041OAI: oai:DiVA.org:kau-2033DiVA: diva2:5560
Available from: 2008-05-19 Created: 2008-05-19 Last updated: 2010-09-22Bibliographically approved
In thesis
1. Strings, Branes and Non-trivial Space-times
Open this publication in new window or tab >>Strings, Branes and Non-trivial Space-times
2008 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis deals with different aspects of string and /p/-brane theories. One of the motivations for string theory is to unify the forces in nature and produce a quantum theory of gravity. /p/-branes and related objects arise in string theory and are related to a non-perturbative definition of the theory. The results of this thesis might help in understanding string theory better. The first part of the thesis introduces and discusses relevant topics for the second part of the thesis which consists of five papers.

In the three first papers we develop and treat a perturbative approach to relativistic /p/-branes around stretched geometries. The unperturbed theory is described by a string- or particle-like theory. The theory is solved, within perturbation theory, by constructing successive canonical transformations which map the theory to the unperturbed one order by order. The result is used to define a quantum theory which requires for consistency d = 25 + p dimensions for the bosonic /p/-branes and d = 11 for the supermembrane. This is one of the first quantum results for extended objects beyond string theory and is a confirmation of the expectation of an eleven-dimensional quantum membrane.

The two last papers deal with a gauged WZNW-approach to strings moving on non-trivial space-times. The groups used in the formulation of these models are connected to Hermitian symmetric spaces of non-compact type. We have found that the GKO-construction does not yield a unitary spectrum. We will show that there exists, however, a different approach, the BRST approach, which gives unitarity under certain conditions. This is the first example of a difference between the GKO- and BRST construction. This is one of the first proofs of unitarity of a string theory in a non-trivial non-compact space-time. Furthermore, new critical string theories in dimensions less then 26 or 10 is found for the bosonic and supersymmetric string, respectively.

Place, publisher, year, edition, pages
Karlstad: Karlstad University, 2008. 116 p.
Series
Karlstad University Studies, ISSN 1403-8099 ; 2008:20
Keyword
String theory, Membranes, BRST, /p/-branes, /p/-branes, Non-compact backgrounds, WZNW-model, No-ghost theorem, Unitarity, Hermitian symmetric spaces, CFT
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-1619 (URN)978-91-7063-179-5 (ISBN)
Public defence
2008-06-09, 1B306, 1B, Universitetsgatan 2, Karlstad, 13:15
Opponent
Supervisors
Available from: 2008-05-19 Created: 2008-05-19 Last updated: 2011-11-10
2. Stretched Membranes
Open this publication in new window or tab >>Stretched Membranes
2006 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis deals with relativistic membranes and, in particular, a limit called stretched membranes. The thesis also considers the relation of membranes to the conjectured M-theory and string theory. The thesis is divided into two parts. One introductory part where I introduce areas which are of relevance for the second part.

The second part consists of the scientific papers.

In the first part I make a general introduction to string theory. Furthermore, I discuss different limits of membrane theory. Then, I make a short review of the different conjectures of M-theory and briefly mention different consistency checks of these conjectures. The last subject in the first part concerns an area, which is not

in direct connection to the other chapters in the thesis. This is a short introduction to the general treatment of theories with constraints.

The second part of the thesis consists of the included articles. The common topic of these is that they give a new approach to the treatment of membranes. We here make a partial gauge-fixing of the constraints which, by choosing an appropriate limit, will yield a perturbation theory around a free string-like theory. The stringlike

theory is the usual string theory with an extra parameter dependence. This perturbation theory we solve by infinitesimal canonical transformations.

The corresponding quantum theory is also discussed. We show that a particular ordering gives critical dimensions 27 and 11 for the bosonic and fermionic case respectively.

Place, publisher, year, edition, pages
Fakulteten för teknik- och naturvetenskap, 2006
Series
Karlstad University Studies, ISSN 1403-8099 ; 2006:2
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:kau:diva-1581 (URN)91-7063-034-8 (ISBN)
Presentation
2006-02-27, Nyqvistsalen, 9C 203, Karlstads universitet, Karlstad, 14:15
Opponent
Supervisors
Available from: 2008-04-10 Created: 2008-04-10 Last updated: 2010-09-22

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