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New realisations of minimal models and the structure of W-strings

C.M. Hull

1994
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Nuclear Physics B
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The quantization of a free boson whose momentum satisfies a cubic constraint leads to a c= conformal field theory with a BRST symmetry. The theory also has a W_∞ symmetry in which all the generators except the stress-tensor are BRST-exact and so topological. The BRST cohomology includes states of conformal dimensions 0", together with copies' of these states obtained by acting with picture-changing and screening operators. The 3-point and 4-point correlation functions agree with those of the
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... ng model, suggesting that the theory is equivalent to the critical Ising model. At tree level, the W_3 string can be viewed as an ordinary c=26 string whose conformal matter sector includes this realisation of the Ising model. The two-boson W_3 string is equivalent to the Ising model coupled to two-dimensional quantum gravity. Similar results apply for other W-strings and minimal models.

doi:10.1016/0550-3213(94)90626-2
fatcat:mzannmzzprhvfbhjcrnx3jbh2e