Supertwistors and massive particles

Alexandru Mezincescu, Alasdair J. Routh, Paul K. Townsend

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)66-90
Number of pages25
JournalAnnals of Physics
Volume346
DOIs
StatePublished - 2014

Fingerprint

supersymmetry
metal spinning
equivalence
formalism
formulations

Keywords

  • Supersymmetry
  • Twistor

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Supertwistors and massive particles. / Mezincescu, Alexandru; Routh, Alasdair J.; Townsend, Paul K.

In: Annals of Physics, Vol. 346, 2014, p. 66-90.

Research output: Contribution to journalArticle

Mezincescu, Alexandru ; Routh, Alasdair J. ; Townsend, Paul K. / Supertwistors and massive particles. In: Annals of Physics. 2014 ; Vol. 346. pp. 66-90.
@article{823f168a16aa4751a34a94281ad878ca,
title = "Supertwistors and massive particles",
abstract = "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.",
keywords = "Supersymmetry, Twistor",
author = "Alexandru Mezincescu and Routh, {Alasdair J.} and Townsend, {Paul K.}",
year = "2014",
doi = "10.1016/j.aop.2014.04.007",
language = "English (US)",
volume = "346",
pages = "66--90",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Supertwistors and massive particles

AU - Mezincescu, Alexandru

AU - Routh, Alasdair J.

AU - Townsend, Paul K.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Supersymmetry

KW - Twistor

UR - http://www.scopus.com/inward/record.url?scp=84899872598&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84899872598&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2014.04.007

DO - 10.1016/j.aop.2014.04.007

M3 - Article

AN - SCOPUS:84899872598

VL - 346

SP - 66

EP - 90

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -