Compact Conformal Manifolds
arXiv:1410.3006 · doi:10.1007/JHEP01(2015)112
Abstract
In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such manifolds are Kahler, and so the simplest possible non-trivial compact conformal manifold in this set of geometries is a complex one-dimensional projective space. We show that such a manifold is indeed realized and give a general prescription for constructing complex N-dimensional projective space conformal manifolds as certain small N=2->N=1 breaking deformations of strongly interacting N=2 SCFTs. In many cases, our prescription reduces the construction of such spaces to a study of the N=2 chiral ring. We also give an algorithm for constructing more general compact spaces of SCFTs.
19 pages; typos corrected; reference added
References in corpus (6)
- Conformal collider physics: Energy and charge correlations
- S-duality in N=2 supersymmetric gauge theories
- Sphere Partition Functions and the Zamolodchikov Metric
- Exact correlation functions in SU(2) N=2 superconformal QCD
- Constraints on Chiral Operators in N=2 SCFTs
- The moduli space of vacua of N=2 class S theories