Seminar topics on affine Lie algebras
imported>Pythagoras0님의 2015년 3월 3일 (화) 16:41 판 (→topics)
Meetings: Thursdays 3-4:30 pm, Priestly Building Seminar Room 67-442
topics
Kac-Moody algebras
affine Lie algerbas as central extensions of loop algerbas
Sugawara construction of Virasoro algebra
integrable highest weight representations of affine Lie algebras
Wess-Zumino-Witten model
Weyl-Kac character formula and modular transformations
fusion rules and Verlinde formula
vertex operator constructions of basic representations
future topics
- admissible representations
- Heisenberg or Virasoro?
memo
links
readings
- Berman, Stephen, and Karen Hunger Parshall. ‘Victor Kac and Robert Moody: Their Paths to Kac-Moody Lie Algebras’. The Mathematical Intelligencer 24, no. 1 (13 January 2009): 50–60. doi:10.1007/BF03025312.
- Dolan, Louise. ‘The Beacon of Kac-Moody Symmetry for Physics’. Notices of the American Mathematical Society 42, no. 12 (1995): 1489–95. http://www.ams.org/notices/199512/dolan.pdf