The Z2-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures
J. A. de Azcarraga, J. M. Izquierdo, A. M. Perelomov, J. C. Perez Bueno
Abstract
The super or Z2-graded Schouten-Nijenhuis bracket is introduced. Using it, new generalized super-Poisson structures are found which are given in terms of certain graded-skew-symmetric contravariant tensors Λof even order. The corresponding super `Jacobi identities' are expressed by stating that these tensors have zero super Schouten-Nijenhuis bracket with themselves [Λ,Λ]=0. As a particular case, we provide the linear generalized super-Poisson structures which can be constructed on the dual spaces of simple superalgebras with a non-degenerate Killing metric. The su(3,1) superalgebra is given as a generic example.
Create a lesson
Related papers
On the universality of entanglement entropy in quantum field theory
Orr Sela
Negative Junction Logarithms in Scalar Multipartite Entanglement
Chen-Te Ma
A Ghost-Free dS/AdS Correspondence in N=1 Supergravity
Omer Guleryuz
Hermitian matrix-valued nonlocal deformation of the SU(N) Thirring model at large N
J. R. Nascimento, P. J. Porf\'ırio, C. Furtado
Obstruction to local entropy laws on arbitrary black-hole cuts in five-dimensional Einstein--Gauss--Bonnet gravity
Cendikiawan Suryaatmadja, Robert B. Mann
Hamiltonian of open string field theory for time-dependent solutions
Vinícius Bernardes, Riccardo Poletti