Universal Bundle, Generalized Russian Formula and Non-Abelian Anomaly in Topological Yang-Mills Theory
Abstract
We re-examine the geometry and algebraic structure of BRST's of Topological Yang-Mills theory based on the universal bundle formalism of Atiyah and Singer. This enables us to find a natural generalization of the {\it Russian formula and descent equations\/}, which can be used as algebraic method to find the non-Abelian anomalies counterparts in Topological Yang-Mills theory. We suggest that the presence of the non-Abelian anomaly obstructs the proper definition of Donaldson's invariants.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 1992
- DOI:
- 10.48550/arXiv.hep-th/9205104
- arXiv:
- arXiv:hep-th/9205104
- Bibcode:
- 1992hep.th....5104P
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 16 pages, harvmac TeX, ESENAT-92-07, (TeXnical and stupid errors are corrected.)