Matrix models and non-Abelian T dual of $AdS_5 \times S^5 $

TL;DR

This paper explores the computation of Wilson loops in BMN Plane Wave Matrix Models and their string theory counterparts, focusing on half BPS geometries and the non-Abelian T dual of $AdS_5 imes S^5$, revealing close agreement between matrix and string calculations.

Contribution

It introduces Wilson operators for the NATD of $AdS_5 imes S^5$ and compares matrix model results with string theory, expanding understanding of dual geometries.

Findings

Close agreement between matrix model and string theory calculations.

Construction of Wilson operators for NATD of $AdS_5 imes S^5$.

Analysis of half BPS geometries in Type IIA supergravity.

Abstract

We compute Euclidean Wilson loops for BMN Plane Wave Matrix Models. The stringy counterpart of these Wilson loops corresponds to various semi-classical open string embedding that probe a class of half BPS geometries in Type IIA supergravity. These geometries fall under the general category of Lin-Lunin and Maldacena (LLM). As a special class of solutions within the LLM category, we construct Wilson operators corresponding to the non-Abelian T dual (NATD) of $ AdS_5 \times S^5 $. Our analysis shows close agreement between matrix model and string theory calculations.