Matrix Models and Non-Abelian T Dual of A d S 5 × S 5 $AdS_5 \times S^5$

Abstract

Euclidean Wilson loops for BMN Plane Wave Matrix Models is computed. 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, Wilson operators corresponding to the non-Abelian T dual (NATD) of $Ad{S}_5\times S^5$ is constructed. The analysis shows close agreement between matrix model and string theory calculations.