Notations

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    1 Odd symplectic manifold

    2 Moment map

    3 Integration over families of Lagrangian submanifolds

    4 Equivariant cohomology

1 Odd symplectic manifold

odd symplectic manifold, the "BV phase space"

odd canonical transformations

half density on ; assumed to satisfy the Master Equation

subgroup of preserving

(or just )

canonical odd Laplacian on half-densities

[here]

[here]

Explanations

2 Moment map

the moment map for the action of on

Explanations

3 Integration over families of Lagrangian submanifolds

and

here

here

(this is the embedding of into )

equivariant form constructed from

base form constructed from

4 Equivariant cohomology

and (for any Lie superalgebra )

wavy Lie superalgebra

index  introduction  supergeometry  BV-formalism  BRST-formalism  equivariant-cohomology  worldsheet-complex-structure  bosonic-string  omega  omega-BRST  contact-structure  transfer  tangent-space-of-double-coset  integrated-vertex  unintegrated-vertex  boundary  picture-changing  Heterotic-RNS  Type-II-RNS  N2Superconformal  twisting  pure-spinor  left-sector  open-problems