Teacher :Lin Hai
Schedule: Tue 13:30-15:05 & Wed 17:05-18:40, 2020-2-18 ~ 5-6
Venue:Conference Room 3, Jin Chun Yuan West Bldg.
These
lectures introduce aspects of gauge/gravity duality between a quantum system on
the D+1 dimensional bulk and its dual system on the D dimensional boundary. Its
mathematical and practical perspectives will be discussed. Gauge theory and
string theory are two different theories defined in different ways, yet they
have an equivalence in a nontrivial way. We describe the ‘t Hooft large N
expansion in large N gauge theories. We then discuss Anti de Sitter
Space/Conformal Field Theory correspondence and the GKPW relation. The
three-point correlation functions related to the amplitudes on the gravity will
be discussed. Aspects of holography duality on Wilson loops, renormalization
groups, QCD, Einstein manifolds, topological strings, AdS3 and AdS2, black
holes, tensor networks, entanglement, and quantum computation will be discussed
in details. The Penrose limit of AdS space, the plane-wave geometries, the BMN
correspondence, and field theory operators with large scaling dimensions will
also be discussed. The roles and aspects of permutation, Schur-Weyl duality,
and nonplanarity in gauge theory and string theory will also be addressed.
E-mail:hailin@tsinghua.edu.cn