Loop Virasoro Lie conformal algebra

The Lie conformal algebra of loop Virasoro algebra, denoted by [12pt]{minimal}{document}CW{document}CW, is introduced in this paper. Explicitly, [12pt]{minimal}{document}CW{document}CW is a Lie conformal algebra with [12pt]{minimal}{document}C[∂ ]{document}C[∂]-basis [12pt]{minimal}{document}Lᵢ\,|\,i∈ Z{document}{Li|i∈Z} and λ-brackets [Li λ Lj] = (−∂−2λ)Li+j. Then conformal derivations of [12pt]{minimal}{document}CW{document}CW are determined. Finally, rank one conformal modules and [12pt]{minimal}{document}Z{document}Z-graded free intermediate series modules over [12pt]{minimal}{document}CW{document}CW are classified.