Deformed <inline-formula> <mml:math id="mm300" display="block"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="script">N</mml:mi> </mml:mrow> </mml:semantics> </mml:math> </inline-formula> = 8 Supersymmetric Mechanics

• Main Authors: Evgeny Ivanov, Olaf Lechtenfeld, Stepan Sidorov
• Format: Article
• Language: English
• Published: MDPI AG 2019-01-01
• Series: Symmetry
• Subjects: supersymmetry; superfields; supersymmetric quantum mechanics
• Online Access: https://www.mdpi.com/2073-8994/11/2/135
• ISSN: 2073-8994

We give a brief review of deformed <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">N</mi> <mspace width="0.166667em"></mspace> <mo>=</mo> <mspace width="0.166667em"></mspace> <mn>8</mn> </mrow> </semantics> </math> </inline-formula> supersymmetric mechanics as a generalization of SU(2|1) mechanics. It is based on the worldline realizations of the supergroups SU(2|2) and SU(4|1) in the appropriate <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">N</mi> <mspace width="0.166667em"></mspace> <mo>=</mo> <mspace width="0.166667em"></mspace> <mn>8</mn> </mrow> </semantics> </math> </inline-formula>, <inline-formula> <math display="inline"> <semantics> <mrow> <mi>d</mi> <mspace width="0.166667em"></mspace> <mo>=</mo> <mspace width="0.166667em"></mspace> <mn>1</mn> </mrow> </semantics> </math> </inline-formula> superspaces. The corresponding models are deformations of the standard <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">N</mi> <mspace width="0.166667em"></mspace> <mo>=</mo> <mspace width="0.166667em"></mspace> <mn>8</mn> </mrow> </semantics> </math> </inline-formula> mechanics models by a mass parameter <i>m</i>.