Loterre: Mathematics: vertex operator algebra

mathematical physics > quantum field theory > conformal field theory > vertex operator algebra

... > abstract algebra > algebraic structure > algebra over a field > non-associative algebra > vertex operator algebra

algebra > differential algebra > Lie algebra > vertex operator algebra

... > abstract algebra > algebraic structure > algebra over a field > Lie algebra > vertex operator algebra

mathematical physics > string theory > vertex operator algebra

vertex operator algebra

In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string theory. In addition to physical applications, vertex operator algebras have proven useful in purely mathematical contexts such as monstrous moonshine and the geometric Langlands correspondence.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Vertex_operator_algebra)

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