2019/07/21 by Levy, Tom, Oz, Yaron, Raviv-Moshe, Avia
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1907.08961
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 log-correlated 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.