An Introduction To Non-Relativistic SuperSymmetry And Its Underlying SuperAlgebra

Crane, Harry (2021) An Introduction To Non-Relativistic SuperSymmetry And Its Underlying SuperAlgebra. Bachelor's Thesis, Physics.

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Abstract

This report introduces the topic of Super Symmetry to the reader. It first discusses the motivation for why Super Symmetry needs to be introduced to, amongst other things, solve the problem of infinite vacuum energies in Quantum Field Theory (QFT). This problem is gone through in some depth to see how one arrives at these infinities and, in particular, a focus is given to the topic of Lie Groups introducing the reader to the role they play in QFT. Once these infinities have been derived in both the contribution to the vaccuum energy from a bosonic field and a fermionic field it is shown that these two infinities would exactly cancel if there existed a new type of symmetry (that of Super Symmetry) that took fermions and exchanged them with bosons and visa versa. This symmetry is analysed in the simplest case of the Weiss-Zummino model. It is shown how a Super-Symmetric model can be built and proven that for this case the action is indeed invariant under the operation of a Super Symmetric transformation. Lastly, a comparison is made between Lie algebras and the new Super-Algebra that emerges from the theory of Super Symmetry. In particular an introduction is given to the notion of a graded algebra and how this relates to Super Symmetry.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Bergshoeff, E.A. and Waalkens, H.
Degree programme:	Physics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	05 Jul 2021 12:32
Last Modified:	05 Jul 2021 12:32
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/24928

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