Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation
| dc.creator | Larsson, T. A. | |
| dc.date | 2002-05-13 | |
| dc.date | 2003-04-09 | |
| dc.date.accessioned | 2026-07-07T04:29:11Z | |
| dc.date.available | 2026-07-07T04:29:11Z | |
| dc.description | In p-form lattice gauge theory, the fluctuating variables live on p-dimensional cells and interact around (p+1)-dimensional cells. It has been argued that the continuum version of this model should be described by (p-1)-gerbes. However, only connections and curvatures for gerbes are understood, not covariant derivatives. Using the lattice analogy, an alternative definition of gerbes is proposed: sections are functions phi(x,s), were x is the base point and s is the surface element. In this purely local formalism, there is a natural covariant derivative. The Yang-Baxter equation, and more generally the simplex equations, arise as zero-curvature conditions. The action of algebras of vector fields and gerbe gauge transformations, and their abelian extensions, are described. | |
| dc.description | Added four references | |
| dc.identifier | https://arxiv.org/abs/math-ph/0205017 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0205017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57064 | |
| dc.subject | Mathematical Physics | |
| dc.title | Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation | |
| dc.type | text |