Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation

Details Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation

2002-05-13

arxiv.org/abs/math-ph/0205017v2

Physics

Mathematical Physics

Added four references

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423014