From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory

TL;DR

This paper explores non-local operators in Puff Field Theory by analyzing supersymmetric D3 brane configurations that form non-Abelian volume operators, revealing their properties and gauge structure.

Contribution

It introduces supersymmetric D3 brane configurations as non-Abelian volume operators in Puff Field Theory, expanding the understanding of non-local features at strong coupling.

Findings

Identified supersymmetric D3 brane configurations ending on defects.

Determined R-charge, VEV, energy, and gauge group of these defects.

Showed these defects act as volume operators in PFT.

Abstract

Puff Field Theory is a low energy decoupling regime of string theory that still retains the non-local attributes of the parent theory - while preserving isotropy for its non-local degrees of freedom. It realizes an extended holographic dictionary at strong coupling and dynamical non-local states akin to defects or the surface operators of local gauge theories. In this work, we probe the non-local features of PFT using D3 branes. We find supersymmetric configurations that end on defects endowed with non-Abelian degrees of freedom. These are 2+1 dimensional defects in the 3+1 dimensional PFT that may be viewed as volume operators. We determine their R-charge, vacuum expectation value, energy, and gauge group structure.