Topics in mathematical physics- supersymmetry
Student No.:40
Time:Mon & Wed 09:50-11:25
Instructor:Li Si  [Tsinghua University]
Place:Conference Room 3, Floor 2, Jinchun Yuan West Building
Starting Date:2017-10-9
Ending Date:2018-1-3

This topic course aims at discussing various geometric structures underlying supersymmetric gauge theories and supergravities. After a general discussion on  spinors and supersymmetry algebra in various dimensions, we will study supersymmetric theories with a Lagrangian description, mainly in four dimension  and its lower dimensional reductions. The subject will be presented in geometric language in terms of G-structures, isometry groups, symmetric spaces and variation of Hodge structures. The course ends with a brief discussion on dualities and topological twistings, with an emphasis on Kapustin-Witten’s theory on 4D N=4 Super Yang-Mills theory and Geometric Langlands.


Differential geometry, complex geometry, classical mechanics, Lie group and Lie algebra, Knowledge on quantum field theory would be very helpful.


Our main resources are:
S. Cecotti: Supersymmetric field theories.
D.Z. Freedman, A. van Proeyen: Supergravity
A. Kapustin, E. Witten: Electric-Magnetic duality and the geometric langlands program.

Other relevant references will be given in class.