Conformal Field Theories: From Old to New

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, LaTeX, to appear in a memorial issue of Theoretical and Mathematical Physics in memory of F.A. Lunev

Scientific paper

In a short review of recent work, we discuss the general problem of constructing the actions of new conformal field theories from old conformal field theories. Such a construction follows when the old conformal field theory admits new conformal stress tensors in its chiral algebra, and it turns out that the new conformal field theory is generically a new spin-two gauge theory. As an example we discuss the new spin-two gauged sigma models which arise in this fashion from the general conformal non-linear sigma model.

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