Using 3D Stringy Gravity to Understand the Thurston Conjecture

Details Using 3D Stringy Gravity to Understand the Thurston Conjecture Using 3D Stringy Gravity to Understand the Thurston Conjecture

2003-06-27

arxiv.org/abs/hep-th/0306279v1

Class.Quant.Grav. 21 (2004) 1197-1208

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex

Scientific paper

10.1088/0264-9381/21/4/031

We present a string inspired 3D Euclidean field theory as the starting point for a modified Ricci flow analysis of the Thurston conjecture. In addition to the metric, the theory contains a dilaton, an antisymmetric tensor field and a Maxwell-Chern Simons field. For constant dilaton, the theory appears to obey a Birkhoff theorem which allows only nine possible classes of solutions, depending on the signs of the parameters in the action. Eight of these correspond to the eight Thurston geometries, while the ninth describes the metric of a squashed three sphere. It therefore appears that one can construct modified Ricci flow equations in which the topology of the geometry is encoded in the parameters of an underlying field theory.

Affiliated with

Also associated with

No associations

Rating

Using 3D Stringy Gravity to Understand the Thurston Conjecture 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 Using 3D Stringy Gravity to Understand the Thurston Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Using 3D Stringy Gravity to Understand the Thurston Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-335405