Authors: Carlos Castro
It is shown how Quantum Gravity in D = 3 can be described by a W_inifnity Matrix Model in D = 1 that can be solved exactly via the Collective Field Theory method. A quantization of 4D Gravity can be attained via a 2D Quantum W_inifnity gauge theory coupled to an infinite-component scalar-multiplet ; i.e. the quantization of Einstein Gravity in 4D admits a reformulation in terms of a 2D Quantum W_inifnity gauge theory coupled to an infinite family of scalar fields. Since higher-spin W_inifnity symmetries are very relevant in the study of 2D W_inifnity Gravity, the Quantum Hall effect, large N QCD, strings, membranes, topological QFT, gravitational instantons, Noncommutative 4D Gravity, Modular Matrix Models and the Monster group, it is warranted to explore further the interplay among all these theories.
Comments: recovered from sciprint.org
[v1] 25 Jul 2007
Unique-IP document downloads: 26 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.