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W3 Strings, Parafermions and the Ising Model

M. Freeman
P. West
Journal / Anthology

Physics Letter B
Year: 1993
Volume: 314
Page range: 320-327

We show that any covariant scattering amplitude of the W3 string will contain, as part of its integrand, a factor that obeys the differential equations satisfied by an Ising model correlation function. This factor can thus be identified with such a correlation function, in agreement with a previous result of the authors. The W3 string is also shown to contain an N = 2 parafermion theory, and hence to contain in addition the non-linear infinite-dimension W-algebra corresponding to this parafermion theory. The physical states form a representation of this algebra.

*Science > Physics > Quantum Physics