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4 D, N=1 supergravity genomics
Journal article   Peer reviewed

4 D, N=1 supergravity genomics

Isaac Chappell, S. James Gates, William D. Linch, James Parker, Stephen Randall, Alexander Ridgway and Kory Stiffler
The journal of high energy physics, Vol.2013(10), 4
10/01/2013
DOI: 10.1007/JHEP10(2013)004
url
https://arxiv.org/pdf/1212.3318View
Open Access

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 trans-adinkras (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-(n(c)) and trans-(n(t)) adinkras in the representation and synthesize our new results with our previous supersymmetry genomics results into a group theoretic framework.
Physical Sciences Physics Physics, Particles & Fields Science & Technology

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