Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-27
JHEP0711:087,2007
Physics
High Energy Physics
High Energy Physics - Theory
16 pages LaTeX; v1: rewritten to make paper more self-contained, modified conjecture slightly (this has no effect on main conc
Scientific paper
10.1088/1126-6708/2007/11/087
We argue that the existence of a modular differential equation implies that a
certain vector vanishes in Zhu's C2 quotient space, and we check this assertion
in numerous examples. If this connection is true in general, it would imply
that the recently conjectured extremal self-dual conformal field theories at
c=24 k cannot exist for k\geq 42.
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