Every unitary positive energy representation of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli, and every representation of the Virasoro conformal net carries the same structure.
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Integrating positive energy representations of the Virasoro algebra
Every unitary positive energy representation of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli, and every representation of the Virasoro conformal net carries the same structure.