On the Exchange Interactions in Holographic p-adic CFT

Abstract

There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability in the holographic setting. We compute the contributions from the exchange interactions to the four-point correlator of the CFT using Witten diagrams with three-scalar interaction vertex. Together with the contributions from the bulk four-point interaction, the contact term, these provide a complete answer. We remark on the singularity structure in Mellin space, and argue that all these models are analogues of adS_2/CFT_1.

arXiv comment1+12 pages, 7 figures (an error in the interpretation of the spectrum, and typos, corrected; text modified accordingly, and acknowledgement added)

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Cited by in corpus (14)

• Simplifying large spin bootstrap in Mellin space
• p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field
• Scalar fields on $p$AdS
• Wilson line networks in $p$-adic AdS/CFT
• On $p$-adic string amplitudes in the limit $p$ approaches to one
• Holography on local fields via Radon Transform
• Enhanced Symmetry of the $p$-adic Wavelets
• The boundary theory of a spinor field theory on the Bruhat-Tits tree
• Building Archimedean Space
• Euclidean Quantum Field Formulation of p-Adic open string amplitudes
• Effective field theory on a finite boundary of the Bruhat-Tits tree
• From $p$-adic to Archimedean Physics: Renormalization Group Flow and Berkovich Spaces
• Massless $p2$-brane modes and the critical line
• Local Zeta Functions and Koba-Nielsen String Amplitudes