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On realization of Heisenberg-Virasoro VOA and Galilean W-algebras

I shall present a free field realization of twisted Heisenberg-Virasoro VOA at level zero and it's weight and logarithmic representations. W- algebra W(2, 2), known as Galilean conformal algebra in physics, is realized a subalgebra of this VOA. In a similar fashion one can obtain a realization of Galilean W_3 algebra.

vertex algebras, Heisenberg-Virasoro algebra, Galilean algebras

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