The boundary theory of a spinor field theory on the Bruhat-Tits tree

Abstract

For a spinor field theory on the Bruhat-Tits tree, we calculate the action and the partition function of its boundary theory by integrating out the interior of the Bruhat-Tits tree. We found that the boundary theory is very similar to a scalar field theory over p-adic numbers.

arguement improved, version published in PLB

References in corpus (4)

• Holographic dual of the five-point conformal block
• Geodesic bulk diagrams on the Bruhat-Tits tree
• On the Exchange Interactions in Holographic p-adic CFT
• p-adic CFT is a holographic tensor network

Cited by in corpus (6)

• Bending the Bruhat-Tits Tree II: the p-adic BTZ Black hole and Local Diffeomorphism on the Bruhat-Tits Tree
• Bending the Bruhat-Tits Tree I:Tensor Network and Emergent Einstein Equations
• Effective field theory on a finite boundary of the Bruhat-Tits tree
• Towards Non-archimedean Superstrings
• Finite Temperature at Finite Places
• Effective field theories on subspaces of the Bruhat-Tits tree