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

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.