uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Construction of Two-Dimensional Topological Field Theories
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2015 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this thesis I thoroughly review the construction of topological quantum field theories (TQFT), with particular emphasis on the two dimensional examples. In the first part of the thesis, we consider the mathematical foundations of TQFT's by introducing notions such as categories, cobordisms and Frobenius algebras. In this setting, an n-dimensional topological quantum field theory is a functor between the categories of cobordisms and vector spaces. In the two dimensional case, we show that to give a TQFT is equivalent to giving a Frobenius algebra. In the last part of the thesis, we investigate the Dijkgraaf-Witten model, which is a TQFT over principal G-bundles with G being a finite group.

Place, publisher, year, edition, pages
2015. , 40 p.
Series
FYSAST, FYSKAND1042
Keyword [en]
topological field theories, TQFT, TFT, cobordism, Frobenius algebra
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-256892OAI: oai:DiVA.org:uu-256892DiVA: diva2:828067
Educational program
Bachelor Programme in Physics
Supervisors
Examiners
Available from: 2015-06-30 Created: 2015-06-26 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

fulltext(1680 kB)460 downloads
File information
File name FULLTEXT01.pdfFile size 1680 kBChecksum SHA-512
e2c695a63f48c5f84f21f2ba6f32b96d2e78329b5694eac4efa205cb85a11c9e6652b5fd896d1a7db5b7cff04a70981dc092627727779e2a9721b22a03016992
Type fulltextMimetype application/pdf

By organisation
Theoretical Physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 460 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 992 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf