Holographic duals to Poisson sigma models and noncommutative quantum mechanics

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.

revtex4, 4 pages; v2: a considerably extended version with an extended title

References in corpus (3)

• Holographic Description of AdS_2 Black Holes
• Central Charge for AdS_2 Quantum Gravity
• Position-dependent noncommutativity in quantum mechanics

Cited by in corpus (7)

• Anti-de Sitter holography for gravity and higher spin theories in two dimensions
• Note on correlation functions in conformal quantum mechanics
• Dirac equation on coordinate dependent noncommutative space-time
• Jacobi sigma models
• Influences of the coordinate dependent noncommutative space on charged and spin currents
• Homotopy Manin Theories: Generalising Third-Way, Yang-Mills and Integrable Sigma Models
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities