Supersymmetric vertex algebras

Abstract

We define and study the structure of SUSY Lie conformal and vertex algebras. This leads to effective rules for computations with superfields.

71 pages

References in corpus (5)

• Field Algebras
• Chiral de Rham complex
• Theory of Finite Pseudoalgebras
• Supersymmetry of the Chiral de Rham Complex
• Chiral Equivariant Cohomology I

Cited by in corpus (18)

• Supersymmetry of the Chiral de Rham Complex
• Holomorphic SCFTs with small index
• Generalized Calabi-Yau manifolds and the chiral de Rham complex
• Chiral de Rham complex on Riemannian manifolds and special holonomy
• Supersymmetric W-algebras
• Lambda: A Mathematica-package for operator product expansions in vertex algebras
• SUSY vertex algebras and supercurves
• Lagrangian approach to sheaves of vertex algebras
• Superconformal structures on generalized Calabi-Yau metric manifolds
• On axiomatic aspects of N=2 vertex superalgebras with odd formal variables, and deformations of N=1 vertex superalgebras
• SUSY Lattice Vertex Algebras
• Recent advances and open questions on the susy structure of the chiral de Rham Complex
• Generators of Supersymmetric Classical $W$-algebras
• Dirac reductions and Classical W-algebras
• Sheaves of N=2 supersymmetric vertex algebras on Poisson manifolds
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• Li filtrations of SUSY vertex algebras
• Non-linear sigma models via the chiral de Rham complex