Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.
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Defines higher Courant-Dorfman algebras and higher Poisson vertex algebras, relates them to dg symplectic manifolds of degree n, proves analogous properties to classical versions, and applies the framework to BFV current algebras.
The Large Vector Multiplet underlies a new gauge multiplet in (2,2) supersymmetry, and gauging with it produces a beta-gamma system coupled to a sigma model.
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Generalised Complex and Spinor Relations
Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.
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Higher Courant-Dorfman algebras and associated higher Poisson vertex algebras
Defines higher Courant-Dorfman algebras and higher Poisson vertex algebras, relates them to dg symplectic manifolds of degree n, proves analogous properties to classical versions, and applies the framework to BFV current algebras.
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The Large Vector Multiplet and Gauging $(2,2)$ $\sigma$-models
The Large Vector Multiplet underlies a new gauge multiplet in (2,2) supersymmetry, and gauging with it produces a beta-gamma system coupled to a sigma model.