Preprint
4D, N=1 Supergravity Genomics
arXiv.org
Cornell University
07/24/2013
DOI: 10.48550/arxiv.1212.3318
Abstract
The off-shell representation theory of 4D, N = 1 supermultiplets can be categorized in terms of distinct irreducible graphical representations called adinkras as part of a larger effort we call supersymmetry ‘genomics.’ Recent evidence has emerged pointing to the existence of three such fundamental adinkras associated with distinct equivalence classes of a Coxeter group. A partial description of these adinkras is given in terms of two types, termed cis-and transadinkras (the latter being a degenerate doublet) in analogy to cis/trans isomers in chemistry. Through a new and simple procedure that uses adinkras, we find the irreducible off-shell adinkra representations of 4D, N = 1 supergravity, in the old-minimal, non-minimal, and conformal formulations. This procedure uncovers what appears to be a selection rule useful to reverse engineer adinkras to higher dimensions. We categorize the supergravity representations in terms of the number of cis-(nc) and trans-(nt) adinkras in the representation and synthesize our new results with our previous supersymmetry genomics results into a group theoretic framework.
Details
- Title: Subtitle
- 4D, N=1 Supergravity Genomics
- Creators
- Isaac ChappellS James Gates JrWilliam D Linch IIIJames ParkerStephen RandallAlexander RidgwayKory Stiffler
- Resource Type
- Preprint
- Publication Details
- arXiv.org
- DOI
- 10.48550/arxiv.1212.3318
- eISSN
- 2331-8422
- Publisher
- Cornell University; Ithaca, NY
- Language
- English
- Date posted
- 07/24/2013
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984936493202771
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