On the Topological Interpretation of Gravitational Anomalies
Perrot, Denis
arXiv, 0006003 / Harvested from arXiv
We consider the mixed gravitational-Yang-Mills anomaly as the coupling between the $K$-theory and $K$-homology of a $C^*$-algebra crossed product. The index theorem of Connes-Moscovici allows to compute the Chern character of the $K$-cycle by local formulae involving connections and curvatures. It gives a topological interpretation to the anomaly, in the sense of noncommutative algebras.
Publié le : 2000-06-05
Classification:  Mathematical Physics,  High Energy Physics - Theory
@article{0006003,
     author = {Perrot, Denis},
     title = {On the Topological Interpretation of Gravitational Anomalies},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006003}
}
Perrot, Denis. On the Topological Interpretation of Gravitational Anomalies. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006003/