Noncommutative $Ad{S}_2$ II: The Correspondence Principle

Abstract

Using the exact solutions to the field equation for a massive scalar field on noncommutative $Ad{S}_2$, we apply the $AdS/CFT$ correspondence principle to obtain an exact result for the associated two-point function on the conformal boundary. The answer satisfies conformal invariance and has the correct commutative limit and massless limit.

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

References in corpus (12)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Comments on the Sachdev-Ye-Kitaev model
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Holographic Probes of Anti-de Sitter Spacetimes
• AdS2 Quantum Gravity and String Theory
• States and Boundary Terms: Subtleties of Lorentzian AdS/CFT
• Scalar Field Theory in the AdS/CFT Correspondence Revisited
• 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