Journal
ANNALS OF PHYSICS
Volume 346, Issue -, Pages 66-90Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2014.04.007
Keywords
Twistor; Supersymmetry
Categories
Funding
- National Science Foundation Award [PHY-1214521]
- UK Science and Technology Facilities Council [ST/J000434/1]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1214521] Funding Source: National Science Foundation
- Science and Technology Facilities Council [ST/J000434/1, 1160310] Funding Source: researchfish
- STFC [ST/J000434/1] Funding Source: UKRI
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In the (super)twistor formulation of massless (super)particle mechanics, the mass-shell constraint is replaced by a spin-shell constraint from which the spin content can be read off. We extend this formalism to massive (super)particles (with N-extended space-time supersymmetry) in three and four space-time dimensions, explaining how the spin-shell constraints are related to spin, and we use it to prove equivalence of the massive N = 1 and BPS-saturated N = 2 superparticle actions. We also find the supertwistor form of the action for spinning particles with N-extended worldline supersymmetry, massless in four dimensions and massive in three dimensions, and we show how this simplifies special features of the N = 2 case. (C) 2014 Elsevier Inc. All rights reserved.
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