CENTRAL EXTENSION OF VIRASORO TYPE SUBALGEBRAS OF THE ZAMOLODCHIKOV-ω<sub>∞</sub>LIE ALGEBRA
CENTRAL EXTENSION OF VIRASORO TYPE SUBALGEBRAS OF THE ZAMOLODCHIKOV-ω<sub>∞</sub>LIE ALGEBRA
It is known that the centerless Zamolodchikov-w∞ * -Lie algebra of conformal field theory does not admit nontrivial central extensions, but the Witt * -Lie algebra, which is a sub-algebra of w∞, admits a nontrivial central extension: the Virasoro algebra.Therefore the following question naturally arises: are there other natural sub-algebras …