Singleton field

{{Short description|Fields relating to the anti-de Sitter group}}

{{Context|date=October 2009}}

A singleton field theory is a quantum field theory that treats massless particles in anti-de Sitter spacetime as pairs of "singletons".{{cite journal|journal=Nuclear Physics B |volume=305 |number=3 |date=30 November 1988 |pages=497–515 |title=N {{=}} 8 supersingleton quantum field theory |first1=Eric |last1=Bergshoeff |first2=Abdus |last2=Salam |author-link2=Abdus Salam |first3=Ergin |last3=Sezgin |first4=Yoshiaki |last4=Tanii |doi=10.1016/0550-3213(88)90078-8|bibcode=1988NuPhB.305..497B |s2cid=122773351 |url=https://pure.rug.nl/ws/files/14494993/1988NuclPhysBBergshoeff2.pdf }} Originally introduced by Moshé Flato and Christian Frønsdal,{{cite arXiv|first1=Moshé |last1=Flato |first2=Christian |last2=Frønsdal |first3=Daniel |last3=Sternheimer |title=Singleton physics |eprint=hep-th/9901043 |date=12 January 1999}} they are based on Paul Dirac's work on the representation theory of the group SO(3,2).{{cite journal|first=P. A. M. |last=Dirac |author-link=Paul Dirac |doi=10.1063/1.1704016 |title=A Remarkable Representation of the 3 + 2 de Sitter Group |journal=Journal of Mathematical Physics |volume=4 |pages=901–909 |year=1963|issue=7 |bibcode=1963JMP.....4..901D }}{{cite journal|first1=M. |last1=Günaydin |first2=B. E. W. |last2=Nilsson |first3=G. |last3=Sierra |first4=P. K. |last4=Townsend |title=Singletons and superstrings |doi=10.1016/0370-2693(86)90922-6 |journal=Physics Letters B |volume=176 |number=1–2 |date=21 August 1986 |pages=45–49 |bibcode=1986PhLB..176...45G |url=https://cds.cern.ch/record/168172/files/198606230.pdf}}