Abstract
By using quantum Teichmüller theory, a new type of three-dimensional TQFT has been constructed with the following distinguishing features: it uses the combinatorial framework of shaped triangulations; it takes its values in the space of tempered distributions; the fundamental building block of the theory is given by Faddeev’s quantum dilogarithm. The semi-classical behavior and the geometrical ingredients suggest that the constructed TQFT is related to exact solution of quantum Chern-Simons theory with gauge group SL(2;C). We also remark that quantum Teichmüller theory itself admits an additional real parameter which preserves unitarity but affects the projective factor in the corresponding mapping class group representation.
Original language | English |
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Title of host publication | XVIIth International Congress on Mathematical Physics |
Editors | Arne Jensen |
Number of pages | 9 |
Publisher | World Scientific |
Publication date | 2013 |
Pages | 684-692 |
Chapter | Part B |
ISBN (Print) | 978-981-4449-23-6 |
ISBN (Electronic) | 978-981-4449-25-0 |
DOIs | |
Publication status | Published - 2013 |
Externally published | Yes |
Event | XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS - Aalborg, Denmark Duration: 6. Aug 2012 → 11. Aug 2012 |
Conference
Conference | XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS |
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Country/Territory | Denmark |
City | Aalborg |
Period | 06/08/2012 → 11/08/2012 |
Keywords
- Quantum theory
- TQFT
- Teichmüller space