Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.

let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.

It is shown that a particular q-deformation of the Virasoro algebra can be interpreted in terms of the q-local field Φ(x) and the Schwinger-like point-splitted Virasoro currents, quadratic in Φ(x). The q-deformed Virasoro algebra possesses an additional index α, which is directly related to point-splitting of the currents. The generators in the q-deformed case are found to exactly reproduce the...

We obtain the orbifold Virasoro master equation (OVME) at integer order λ, which summarizes the general Virasoro construction on orbifold affine algebra. The OVME includes the Virasoro master equation when λ = 1 and contains large classes of stress tensors of twisted sectors of conventional orbifolds at higher λ. The generic construction is like a twisted sector of an orbifold (with non-zero gr...

The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted algebra. Lie bialgebras play an important role in searching for solutions quantum Yang–Baxter equations. It is interesting to study bialgebra structures on Since brackets are different from that and Virasoro-like algebras, there inner derivations (from itself its tensor space) which hidden more deeply inte...

We construct new realizations of the Virasoro algebra inspired by the Calogero model. The Virasoro algebra we find acts as a kind of spectrum-generating algebra of the Calogero model. We furthermore present the su-perextension of these results and introduce a class of higher-spin extensions of the Virasoro algebra which are of the W ∞-type.

The deformed Virasoro algebra plays a similar role for deformed conformal fields as the Virasoro algebra in the usual string and conformal field theories. We show that there exists a physical theory, the discrete-time QFT, in which framework the deformations of (super)Virasoro algebra constructed earlier on an abstract mathematical background emerge. Specifically, the deformed Virasoro and supe...