Noncommutative $Ad{S}_2$ I: Exact solutions

Abstract

We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative $Ad{S}_2$. We also discuss some important limits in order to compare with known results.

arXiv commentTo be published in "Particles, Fields and Topology: Celebrating A.P. Balachandran", a Festschrift volume for A.P. Balachandran

References in corpus (9)

• The Large N Limit of Superconformal Field Theories and Supergravity
• String Theory and Noncommutative Geometry
• The quantum structure of spacetime at the Planck scale and quantum fields
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• Non-commutative $Ad{S}_2/CF{T}_1$ duality: the case of massless scalar fields
• Non-commutative $Ad{S}_2/CF{T}_1$ duality: the case of massive and interacting scalar fields
• Asymptotic commutativity of quantized spaces: the case of ${\mathbb{CP}}^{p,q}$
• Exact solutions for scalars and spinors on quantized (Euclidean) $Ad{S}_2$ and the correspondence principle