arXiv subjects

Moustafa Gharamti

Publications and source records attributed to Moustafa Gharamti.

2 recordsLinked to original sources

arXiv2022

DFORMPY: A Python Library for visualising and zooming on differential forms

We present the v1.0.1 release of DFormPy, the first Python library providing an interactive visualisation of differential forms. DFormPy is also capable of exterior algebra and vector calculus, building on the capabilities of NumPy and matplotlib. This short paper will demonstrate the functionalities of the library, briefly outlining the mathematics involved with our objects and the methods available to the user. DFormPy is an open source library with interactive GUI released under MIT license at https://github.com/MostaphaG/Summer_project-df

cs.SC↗

arXiv2014

Supersymmetry of hyperbolic monopoles

We investigate what supersymmetry says about the geometry of the moduli space of hyperbolic monopoles. We construct a three-dimensional supersymmetric Yang-Mills-Higgs theory on hyperbolic space whose half-BPS configurations coincide with (complexified) hyperbolic monopoles. We then study the action of the preserved supersymmetry on the collective coordinates and show that demanding closure of the supersymmetry algebra constraints the geometry of the moduli space of hyperbolic monopoles, turning it into a so-called pluricomplex manifold, thus recovering a recent result of Bielawski and Schwachhöfer.

hep-th↗