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- Title
N = 2 Liouville SCFT in four dimensions.
- Authors
Levy, Tom; Oz, Yaron; Raviv-Moshe, Avia
- Abstract
We construct a Liouville superconformal field theory with eight real supercharges in four dimensions. The Liouville superfield is an N = 2 chiral superfield with sixteen bosonic and sixteen fermionic component fields. Its lowest component is a logcorrelated complex scalar field whose real part carries a background charge. The theory is non-unitary with a continuous spectrum of scaling dimensions. We study its quantum dynamics on the supersymmetric 4-sphere and show that the classical background charge is not corrected quantum mechanically. We calculate the super-Weyl anomaly coefficients and find that c vanishes, while a is negative and depends on the background charge. We derive an integral expression for the correlation functions of superfield vertex operators in N = 2 superspace and analyze them in the semiclassical approximation by using a quaternionic formalism for the N = 2 superconformal algebra.
- Subjects
QUANTUM theory; SCALAR field theory; CONFORMAL field theory; DIMENSIONS; ALGEBRAIC field theory; VERTEX operator algebras; STRING theory; SUPERALGEBRAS
- Publication
Journal of High Energy Physics, 2019, Vol 2019, Issue 10, pN.PAG
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP10(2019)006