SUSY Vertex Algebras and Supercurves
Copyright policy )SUSY Vertex Algebras and Supercurves
This article is a continuation of math.QA/0603633 Given a strongly conformal SUSY vertex algebra V and a supercurve X we construct a vector bundle V_X on X, the fiber of which, is isomorphic to V. Moreover, the state-field correspondence of V canonically gives rise to (local) sections of these vector bundles. We also define chiral algebras on any supercurve X, and show that the vector bundle V_X, corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.
50 pages
- Massachusetts Institute of Technology United States
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematical Physics (math-ph), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematics - Algebraic Geometry, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Algebraic Geometry (math.AG), Vertex operators; vertex operator algebras and related structures, Mathematical Physics
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematical Physics (math-ph), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematics - Algebraic Geometry, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Algebraic Geometry (math.AG), Vertex operators; vertex operator algebras and related structures, Mathematical Physics
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