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arXiv · 1705.05678

On the Exchange Interactions in Holographic p-adic CFT

Parikshit Dutta·Debashis Ghoshal·Arindam Lala
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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.

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Parikshit Dutta, Debashis Ghoshal, Arindam Lala. 2017-05-30. On the Exchange Interactions in Holographic p-adic CFT. https://doi.org/10.1016/j.physletb.2017.08.042

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