Spin in p -adic AdS/CFT

Steven S. Gubser, Christian Jepsen, Brian Trundy

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

We study the holographic dual of the simplest notion of spin in a p -adic field theory, namely Green's functions which involve non-trivial sign characters over the p -adic numbers. In order to recover these sign characters from bulk constructions, we find that we must introduce a non-dynamical gauge field on the line graph of the Bruhat-Tits tree. Wilson lines of this gauge field on suitable paths yield the desired sign characters. We show explicitly how to start with complex scalars or fermions in the bulk, coupled to the gauge field, and compute the holographic two-point functions of their dual operators on the boundary.

Original languageEnglish (US)
Article number144004
JournalJournal of Physics A: Mathematical and Theoretical
Volume52
Issue number14
DOIs
StatePublished - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Keywords

  • Wilson lines
  • p -adic AdS/CFT
  • spin

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