D3 branes in a Melvin universe: a new realm for gravitational holography

TL;DR

This paper explores the holographic duality of Puff Field Theory derived from D3 branes in a Melvin universe, revealing a novel holographic dictionary and the entangled structure of non-local states.

Contribution

It introduces a new holographic framework for non-local Puff Field Theory, including a dual description involving entangled bulk regions and a novel operator interpretation.

Findings

Identification of brane protrusions as non-local operators

Partial bulk exploration correlates with non-local state dynamics

Holographic entanglement encodes coupled sectors of PFT

Abstract

The decoupling limit of a certain configuration of D3 branes in a Melvin universe defines a sector of string theory known as Puff Field Theory (PFT) - a theory with non-local dynamics but without gravity. In this work, we present a systematic analysis of the non-local states of strongly coupled PFT using gravitational holography. And we are led to a remarkable new holographic dictionary. We show that the theory admits states that may be viewed as brane protrusions from the D3 brane worldvolume. The footprint of a protrusion has finite size - the scale of non-locality in the PFT - and corresponds to an operator insertion in the PFT. We compute correlators of these states, and we demonstrate that only part of the holographic bulk is explored by this computation. We then show that the remaining space holographically encodes the dynamics of the D3 brane tentacles. The two sectors are coupled: in this holographic description, this is realized via quantum entanglement across a holographic screen - a throat in the geometry - that splits the bulk into the two regions in question. We then propose a description of PFT through a direct product of two Fock spaces - akin to other non-local settings that employ quantum group structures.