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4D, \( \mathcal{N} \) = 1 supergravity genomics

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Abstract

The off-shell representation theory of 4D, \( \mathcal{N} \) = 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, \( \mathcal{N} \) = 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.

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Authors and Affiliations

  1. Center for String and Particle Theory, Department of Physics, University of Maryland, College Park, MD, 20742-4111, U.S.A.

    Isaac Chappell, S. James Gates Jr., William D. Linch III, James Parker, Stephen Randall, Alexander Ridgway & Kory Stiffler

  2. Department of Chemistry, Physics, and Astronomy, Indiana University Northwest, Gary, IN, 46408, U.S.A.

    Kory Stiffler

Authors
  1. Isaac Chappell
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  2. S. James Gates Jr.
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  3. William D. Linch III
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  4. James Parker
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  5. Stephen Randall
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  6. Alexander Ridgway
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  7. Kory Stiffler
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Correspondence to Kory Stiffler.

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ArXiv ePrint: 1212.3318

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Chappell, I., Gates, S.J., Linch, W.D. et al. 4D, \( \mathcal{N} \) = 1 supergravity genomics. J. High Energ. Phys. 2013, 4 (2013). https://doi.org/10.1007/JHEP10(2013)004

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  • DOI: https://doi.org/10.1007/JHEP10(2013)004

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