14 citations · 27 across the 4 of their papers we have counts for
5 papers
Sheaves of N=2 supersymmetric vertex algebras on Poisson manifolds
Joel Ekstrand, Reimundo Heluani, Maxim Zabzine
We construct a sheaf of N=2 vertex algebras naturally associated to any Poisson manifold. The relation of this sheaf to the chiral de Rham complex is discussed. We reprove the resu…
Lambda: A Mathematica-package for operator product expansions in vertex algebras
Joel Ekstrand
We give an introduction to the Mathematica package Lambda, designed for calculating -brackets in both vertex algebras, and in SUSY vertex algebras. This is equivalent to calcula…
Chiral de Rham complex on Riemannian manifolds and special holonomy
Joel Ekstrand, Reimundo Heluani, Johan Kallen +1
Interpreting the chiral de Rham complex (CDR) as a formal Hamiltonian quantization of the supersymmetric non-linear sigma model, we suggest a setup for the study of CDR on manifold…
Non-linear sigma models via the chiral de Rham complex
Joel Ekstrand, Reimundo Heluani, Johan Kallen +1
We propose a physical interpretation of the chiral de Rham complex as a formal Hamiltonian quantization of the supersymmetric non-linear sigma model. We show that the chiral de Rha…
Courant-like brackets and loop spaces
Joel Ekstrand, Maxim Zabzine
We study the algebra of local functionals equipped with a Poisson bracket. We discuss the underlying algebraic structures related to a version of the Courant-Dorfman algebra. As a…