UnivTrevesV1, Istex, Corpus, bibRecord, 000F76

Field representations of the conformal group with continuous mass spectrum

Identifieur interne : 000F76 ( Istex/Corpus ); précédent : 000F75; suivant : 000F77

Field representations of the conformal group with continuous mass spectrum

Auteurs : W. Rühl

Source :

Communications in Mathematical Physics [ 0010-3616 ] ; 1973-12-01.

RBID : ISTEX:D3F743E2FC683B334C77880E76B2856C64BCD8EB

Abstract

Abstract: The discrete series of the conformal groupSU(2, 2) is realized on a Hilbert space of holomorphic functions over a bounded domain or the field theoretic tube domain. The boundary values of these functions form Hilbert spaces of distributions. For the realization over the tube domain the boundary distributions transform like classical spinorial fields with a continuous mass spectrum extending from zero to infinity. The reduction of these field realizations of the whole discrete series into unitary irreducible representations of the inhomogeneous Lorentz group is explicitly given.

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https://api.istex.fr/document/D3F743E2FC683B334C77880E76B2856C64BCD8EB/fulltext/pdf

DOI: 10.1007/BF01645506

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ISTEX:D3F743E2FC683B334C77880E76B2856C64BCD8EB

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Field representations of the conformal group with continuous mass spectrum

Field representations of the conformal group with continuous mass spectrum

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