Pseudo-local Theories: A Functional Class Proposal

TL;DR

This paper introduces a new functional class for pseudo-local functionals using jet space language, tested across string theory and AdS/CFT examples, with discussions on locality at quartic order.

Contribution

It proposes a novel functional class for pseudo-local functionals and explores its implications in string theory and holography contexts.

Findings

Validated the functional class in string-field-theory examples

Applied the class to AdS/CFT dualities

Discussed locality implications at quartic order

Abstract

In this article, using the language of jet space, we propose a functional class space for pseudo-local functionals. We test this functional class proposal in a number of examples ranging from string-field-theory to AdS/CFT dualities. Implications of the locality proposal at the quartic order are also discussed.