Symmetries in Conformal Field Theory
نویسنده
چکیده
Let’s begin by recalling a fact about 2d conformal field theories from Phil’s talk last week. Firstly, we can define a complex semigroup A whose objects are conformal equivalence classes of Riemann surfaces which are diffeomorphic to annuli, equipped with parameterisations of their boundary components, one incoming and one outgoing. The semigroup operation is given by gluing an outgoing to an incoming boundary component. This semigroup is isomorphic to ( (0, 1)×Diff(S)×Diff(S) ) /U(1)
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