Corpus ID: 228083865

Cohomology of Lie Superalgebras: Forms, Integral Forms and Coset Superspaces.

@article{RCatenacci2020CohomologyOL,
  title={Cohomology of Lie Superalgebras: Forms, Integral Forms and Coset Superspaces.},
  author={R.Catenacci and C.A.Cremonini and P.A.Grassi and S.Noja},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
We study Chevalley-Eilenberg cohomology of physically relevant Lie superalgebras related to supersymmetric theories, providing explicit expressions for their cocycles in terms of their Maurer-Cartan forms. We then include integral forms in the picture by defining a notion of integral forms related to a Lie superalgebra. We develop a suitable generalization of Chevalley-Eilenberg cohomology extended to integral forms and we prove that it is isomorphic to the ordinary Chevalley-Eilenberg… Expand

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