TY - JOUR

T1 - N = 2 Liouville SCFT in four dimensions

AU - Levy, Tom

AU - Oz, Yaron

AU - Raviv-Moshe, Avia

N1 - Publisher Copyright:
© 2019, The Author(s).

PY - 2019/10/1

Y1 - 2019/10/1

N2 - 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.

AB - 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.

KW - Anomalies in Field and String Theories

KW - Conformal Field Theory

KW - Field Theories in Higher Dimensions

KW - Supergravity Models

UR - http://www.scopus.com/inward/record.url?scp=85073507878&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2019)006

DO - 10.1007/JHEP10(2019)006

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AN - SCOPUS:85073507878

SN - 1126-6708

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 6

ER -