Journal article
Reduction redux of adinkras
International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.29(13), p.1450070
05/20/2014
DOI: 10.1142/S0217751X14500705
Abstract
We show performing general "O-brane reduction" along an arbitrary fixed direction in space-time and applied to the starting point of minimal, off-shell 4D, N=1 irreducible supermultiplets, yields adinkras whose adjacency matrices are among some of the special cases proposed by Kuznetsova, Rojas and Toppan. However, these more general reductions also can lead to "Garden Algebra" structures beyond those described in their work. It is also shown that for light-like directions, reduction to the O-brane breaks the equality in the number of fermions and bosons for dynamical theories. This implies that light-like reductions should be done instead to the space of 1-branes or equivalently to the worldsheet.
Details
- Title: Subtitle
- Reduction redux of adinkras
- Creators
- S. James Gates - University of Maryland, College ParkStephen Randall - University of Maryland, College ParkKory Stiffler - Indiana University Northwest
- Resource Type
- Journal article
- Publication Details
- International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.29(13), p.1450070
- DOI
- 10.1142/S0217751X14500705
- ISSN
- 0217-751X
- eISSN
- 1793-656X
- Publisher
- World Scientific
- Number of pages
- 15
- Grant note
- University of Maryland Center for String & Particle Theory PHY-0652983; PHY-0354401 / National Science Foundation; National Science Foundation (NSF) 0968854 / Direct For Mathematical & Physical Scien; National Science Foundation (NSF); NSF - Directorate for Mathematical & Physical Sciences (MPS) endowment of the John S. Toll Professorship
- Language
- English
- Date published
- 05/20/2014
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984936617802771
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