Curiosities at c = -2

Oct, 1995
26 pages
e-Print:
Report number:
  • DAMTP-95-52

Citations per year

19952003201120192025024681012
Abstract:
Conformal field theory at c=2c=-2 provides the simplest example of a theory with ``logarithmic'' operators. We examine in detail the (ξ,η)(\xi,\eta) ghost system and Coulomb gas construction at c=2c=-2 and show that, in contradistinction to minimal models, they can not be described in terms of conformal families of {\em primary\/} fields alone but necessarily contain reducible but indecomposable representations of the Virasoro algebra. We then present a construction of ``logarithmic'' operators in terms of ``symplectic'' fermions displaying a global SL(2)SL(2) symmetry. Orbifolds with respect to finite subgroups of SL(2)SL(2) are reminiscent of the ADEADE classification of c=1c=1 modular invariant partition functions, but are isolated models and not linked by massless flows.
  • field theory: conformal
  • dimension: 2
  • ghost
  • central charge: -2
  • partition function
  • bosonization
  • field theory: orbifold
  • gas: Coulomb
  • algebra: Virasoro