Title

Topological Gravity on the Lattice

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow

Document Type

Article

Date

3-26-2010

Language

English

Disciplines

Physics

Description/Abstract

In this paper we show that a particular twist of \cN=4 super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge group SL(2,C). The theory also contains a set of topological observables corresponding to Wilson loops wrapping non-trivial cycles of the base manifold. This moduli space and set of topological observables is shared with the Chern Simons formulation of three dimensional gravity and we hence conjecture that the Yang-Mills theory gives an equivalent description of the gravitational theory. Unlike the Chern Simons formulation the twisted Yang-Mills theory possesses a supersymmetric and gauge invariant lattice construction which then provides a possible non-perturbative definition of three dimensional gravity.

Additional Information

10 pages More information at http://arxiv.org/abs/1003.5202

Recommended Citation

Catterall, Simon, "Topological Gravity on the Lattice" (2010). Physics - All Scholarship. 436.
https://surface.syr.edu/phy/436

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.