A geometrical point of view on linearized beta-deformations
High Energy Physics - Theory
2018-11-12 v4
Abstract
It is known that the supermultiplet of beta-deformations of supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present a super-geometrical interpretation of this fact, by evaluating the deforming operator on some special coherent states in the space of supersingletons. We also discuss generalization of this approach to other finite-dimensional deformations of the supersymmetric Yang-Mills theory.
Cite
@article{arxiv.1703.00902,
title = {A geometrical point of view on linearized beta-deformations},
author = {Andrei Mikhailov and Segundo P. Milián},
journal= {arXiv preprint arXiv:1703.00902},
year = {2018}
}
Comments
LaTeX 23pp; v2: improved Introduction, added references; v3: paper substantially expanded, added references; v4: added Appendix A, more arguments in Section 5