Open Wilson Lines in Noncommutative Gauge Theory and Tomography of Holographic Dual Supergravity

TL;DR

This paper investigates gauge-invariant observables in noncommutative gauge theory, demonstrating that open Wilson lines are complete operators and exploring their UV-IR behavior, with findings supported by supergravity dual analysis.

Contribution

It establishes open Wilson lines as a complete set of gauge-invariant operators in noncommutative gauge theory and analyzes their UV-IR relations through holographic duality.

Findings

Open Wilson lines form a complete gauge-invariant operator basis.

Distinct UV-IR behaviors depend on the size of Wilson lines.

Supergravity dual analysis confirms the gauge theory results.

Abstract

We study the issue of gauge-invariant observables in d=4, N=4 noncommutative gauge theory and UV-IR relation therein. We show that open Wilson lines form a complete set of gauge invariant operators, which are local in momentum space and, depending on their size, exhibit two distinct behaviors of the UV-IR relation. We next study these properties in a proposed dual description in terms of supergravity and find agreement.