arXiv subjects

Carlo A. Rossi

Publications and source records attributed to Carlo A. Rossi.

20 records · Page 2Linked to original sources

arXiv2001

Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops

This paper analyzes in details the Batalin-Vilkovisky quantization procedure for BF theories on n-dimensional manifolds and describes a suitable superformalism to deal with the master equation and the search of observables. In particular, generalized Wilson loops for BF theories with additional polynomial B-interactions are discussed in any dimensions. The paper also contains the explicit proofs to the Theorems stated in math.QA/0003073.

math.QA↗

arXiv2000

Loop observables for BF theories in any dimension and the cohomology of knots

A generalization of Wilson loop observables for BF theories in any dimension is introduced in the Batalin-Vilkovisky framework. The expectation values of these observables are cohomology classes of the space of imbeddings of a circle. One of the resulting theories discussed in the paper has only trivalent interactions and, irrespective of the actual dimension, looks like a 3-dimensional Chern-Simons theory.

math.QA↗