Topics of gauge/string correspondence and mathematical physics
Student No.:50
Time:Mon 13:00-14:50, 2015-9-28~2015-12-28
Instructor:Hai Lin  
Place:Conference Room 3, Floor 2 Jin Chun Yuan West Building
Starting Date:2015-9-28
Ending Date:2015-12-28





Gauge theory and string theory are two different theories defined in distinct ways, yet they have equivalence relations in a nontrivial way. This lecture series will introduce various aspects of this fascinating correspondence, with an orientation on theoretical foundations and mathematical perspectives. The topics will include the following content: We will talk about the ‘t Hooft large N expansion in large N gauge theories. We will describe 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 group, representation theory, and nonplanarity in gauge theory and gauge/string duality will be addressed. This lecture series is particularly suitable for graduate students and postdocs in mathematics or mathematical physics, who are interested in a broad sense in these directions, and will inspire them for broad visions in mathematics, mathematical physics, and string theory.