Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-08-30
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, 4 figures
Scientific paper
In this note, we explore the relation between crossing symmetry and modular invariance in conformal field theory and S-duality in gauge theory. It is shown that partition functions of different S dual theories of N=2 SU(2) gauge theory with four fundamentals can be derived from the crossing symmetry of the Liouville four point function. We also show that the partition function of N=4 SU(2) gauge theory can be derived from the Liouville partition function on torus.
Nanopoulos Dimitri
Xie Dan
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