Holographic duals to Poisson sigma models and noncommutative quantum mechanics
High Energy Physics - Theory
2013-05-15 v2 Mathematical Physics
math.MP
Abstract
Poisson sigma models are a very rich class of two-dimensional theories that includes, in particular, all 2D dilaton gravities. By using the Hamiltonian reduction method, we show that a Poisson sigma model (with a sufficiently well-behaving Poisson tensor) on a finite cylinder is equivalent to a noncommutative quantum mechanics for the boundary data.
Keywords
Cite
@article{arxiv.1301.7029,
title = {Holographic duals to Poisson sigma models and noncommutative quantum mechanics},
author = {D. V. Vassilevich},
journal= {arXiv preprint arXiv:1301.7029},
year = {2013}
}
Comments
revtex4, 4 pages; v2: a considerably extended version with an extended title