Analogs of Bol operators on superstrings

Sofiane Bouarroudj, Dimitry Leites, Irina Shchepochkina

Research output: Contribution to journalArticlepeer-review

Abstract

The Bol operators are unary differential operators between spaces of weighted densities on the 1-dimensional manifold invariant under projective transformations of the manifold. On the 1|n-dimensional supermanifold (superstring) M, we classify analogs of Bol operators invariant under the simple maximal subalgebra of the same rank as its simple ambient superalgebra of vector fields on M and containing all elements of negative degree of in a Z-grading. We also consider the Lie superalgebras of vector fields g preserving a contact structure on the superstring M. We have discovered many new operators.

Original languageEnglish (US)
JournalInternational Journal of Algebra and Computation
DOIs
StateAccepted/In press - 2022

Keywords

  • Bol operator
  • invariant differential operator
  • Lie superalgebra
  • superstring
  • Veblen's problem

ASJC Scopus subject areas

  • Mathematics(all)

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