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Singularities in Witten type Topological Field Theory
| Title: | Singularities in Witten type Topological Field Theory |
| Other Titles: | Witten型位相的場の理論における特異性 |
| Authors: | Sako, Akifumi1 Browse this author |
| Authors(alt): | 佐古, 彰史1 |
| Issue Date: | 25-Mar-1998 |
| Publisher: | Hokkaido University |
| Abstract: | We investigate relation between Witten type Topological Field Theory (TFT) and some singularities to find the nature of TFT and to search new possibility. Singularities that we will study are classified intio two types. The first type is represented as moduli space singularity. In any gauge theories, if gauge transformation is not effective, singularities exist in moduli space. Especially we study it in Topological QCD, and we find some new relation between the Abelian Seiberg-Witten invariants and non-Abelian Seiberg-Witten invariants and Donaldson invariants. The second type of singularity appear necessitously when we treat topological invariants in field theory. We use this singularity to break topological symmetry in topological gravity. As a result we get a gravitational theory whose relevant contribution is given from Einstein gravity. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第4278号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/51467 |
| Appears in Collections: | 学位論文 (Theses) > 博士 （理学）
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Submitter: 佐古 彰史
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