Quaternionic (super)twistors extensions and general superspaces
Abstract
In a attempt to treat a supergravity as a tensor representation, the 4-dimensional N-extended quaternionic superspaces are constructed from the (diffeomorphyc)graded extension of the ordinary Penrose-twistor formulation, performed in a previous work of the authors[14], with N = p + k: These quaternionic superspaces have 4 + k (N - k) even-quaternionic coordinates and 4N odd- quaternionic coordinates where each coordinate is a quaternion composed by four C-felds (bosons and fermions respectively). The fields content as the dimensionality (even and odd sectors) of these superspaces are given and exemplified by selected physical cases. In this case the number of felds of the supergravity is determined by the number of components of the tensor representation of the 4-dimensional N-extended quaternionic superspaces. The role of tensorial central charges for any N even USp (N) = Sp (N;HC) \ U (N;HC) is elucidated from this theoretical context.
Keywords
Cite
@article{arxiv.1607.02589,
title = {Quaternionic (super)twistors extensions and general superspaces},
author = {Diego Julio Cirilo-Lombardo and Victor N. Pervushin},
journal= {arXiv preprint arXiv:1607.02589},
year = {2016}
}
Comments
To be published in the IJGMMP 2016, corrected version, 16 pages without figures