Introduction to gauge/gravity duality and related topics in string theory
Student No.:40
Time:Mon & Wed 19:20-20:55
Instructor:Lin Hai  [Tsinghua University]
Place:Conference Room 3, Floor 2, Jinchun Yuan West Building
Starting Date:2017-9-18
Ending Date:2018-1-3

Gauge theory and string theory are two different theories defined in distinct ways, yet they have equivalence relations in a nontrivial way. These introductory lectures will introduce various aspects of the fascinating gauge/gravity duality, with an orientation on theoretical foundations and mathematical perspectives. The topics will include the following content: We will describe the ‘t Hooft large N expansion in large N gauge theories. We will discuss Anti de Sitter Space/Conformal Field Theory (AdS/CFT) maps and the GKPW relation. The three-point correlation function connecting the amplitude on the gravity will be discussed. After that we discuss the Penrose limit of AdS space, the plane-wave geometries, and BMN correspondence. The topics of giant gravitons and field theory operators with large scaling dimensions in quantum field theory will be introduced. The roles and aspects of permutation, representation theory, Schur-Weyl duality, and nonplanarity in gauge theory and gauge/string duality will be addressed. Related topics (for instance) of Wilson loops, QCD, Einstein manifolds, topological strings, tensor network, entanglement, and quantum computation will be discussed in details in each lecture. This lecture series is particularly suitable for graduate students and postdocs in mathematical physics or mathematics, and will inspire them for broad visions.