Explore the intricacies of entanglement entropy in string theory through this lecture by Raghu Mahajan from Princeton University. Delve into the potential of string theory as a UV finite theory to address UV divergences in quantum field theories. Begin with an overview of DMRG and Matrix Product States, then progress to discussions on two-dimensional spatial systems and the replica trick. Examine diagrams illustrating key concepts and investigate whether string theory can cure UV divergences in entanglement entropy. Study the work of Susskind-Uglum and Donnelly-Wong, and explore topics such as AdS3, SL2R WZW, and compact target spaces. Conclude with a Q&A session to further clarify complex ideas presented in this comprehensive exploration of entanglement entropy in the context of string theory.