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2016

Conformal Manifolds in Four Dimensions and Chiral Algebras

Buican, Matthew, Nishinaka, Takahiro

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Any N=2 superconformal field theory (SCFT) in four dimensions has a sector of operators related to a two-dimensional chiral algebra containing a Virasoro sub-algebra.

Moreover, there are well-known examples of isolated SCFTs whose chiral algebra is a Virasoro algebra.
In this note, we consider the chiral algebras associated with interacting N=2 SCFTs possessing an exactly marginal deformation that can be interpreted as a gauge coupling (i.e., at special points on the resulting conformal manifolds, free gauge fields appear that decouple from isolated SCFT building blocks).
At any point on these conformal manifolds, we argue that the associated chiral algebras possess at least three generators.

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