Teacher ：Lin Hai
Schedule： Every Mon. 9:50-12:15 2021-2-22 ~ 6-11
Venue：Rm W11, Ning Zhai Bldg.
These lectures introduce aspects of gauge-string duality
and holographic 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. Other aspects of the
holography duality on Wilson loops, renormalization groups, QCD, moduli spaces,
Einstein manifolds, topological strings, AdS3 and AdS2, black holes, entanglement,
and quantum information will be discussed in details, respectively. The Penrose
limit of AdS space, the plane-wave geometries, the BMN correspondence, and the
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.