Virasoro algebra
In mathematics, the Virasoro algebra (named after the physicist Miguel Angel Virasoro) is a complex Lie algebra, the unique central extension of the Witt algebra. It is widely used in two-dimensional conformal field theory and in string theory.
The Virasoro algebra is spanned by generators Ln for n ∈ ℤ and the central charge c. These generators satisfy and
![[c,L_{n}]=0](https://wikimedia.org/api/rest_v1/media/math/render/svg/51b05048035f85a1aee1b3f443eacf6a02840169)
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![[L_{m},L_{n}]=(m-n)L_{{m+n}}+{\frac {c}{12}}(m^{3}-m)\delta _{{m+n,0}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/032a2b21c041476dea2a5f429ab4e2b78b50e865)
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