Relating c<0 and c>0 Conformal Field Theories

Details Relating c<0 and c>0 Conformal Field Theories Relating c<0 and c>0 Conformal Field Theories

1996-12-16

arxiv.org/abs/hep-th/9612172v1

Nucl.Phys. B519 (1998) 661-681

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, harvmac

Scientific paper

10.1016/S0550-3213(98)00059-5

A `canonical mapping' is established between the c=-1 system of bosonic ghosts and the c=2 complex scalar theory and, a similar mapping between the c=-2 system of fermionic ghosts and the c=1 Dirac theory. The existence of this mapping is suggested by the identity of the characters of the respective theories. The respective c<0 and c>0 theories share the same space of states, whereas the spaces of conformal fields are different. Upon this mapping from their c<0 counterparts, the (c>0) complex scalar and the Dirac theories inherit hidden nonlocal sl(2) symmetries.

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