摘要:

AbstractThree superalgebrasosp(1; 2; F) (F =R, C, H) and corresponding three supergroups are considered. The transformation laws of spinors with anticommuting components for 3‐dimensional (O(2, 1) ≃Sp(2;R)), 4‐dimensional (O(3, 1) ≃Sp(2,C)) and 5‐dimensional (O(4, 1) ≃Sp(2;H)) Lorentz group are extended in a supersymmetric way by introducing nonlinear realizations of the supergroupsOSp(1, 2; F). The affine Grassmann spinors in all three cases are obtained by suitable “flat” limit of the nonlinear realization. Different gradings and different contractions ofosp(1,2; F) (F =R, C, H) superalgebras

ISSN:0015-8208    

DOI:10.1002/prop.19820300202

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractThe local contribution to the action of theO(3) σ model inD= 2 or pureSU(2) gauge models inD≧ 3 dimensions are expanded and integrated on the group. There results a field of variablesj, a 3njcoefficientW({j}) withn→ ∞ and dynamical factorsf(j, β). We prove that for the gauge models a local decomposition ofW({j}) into a product of 3njcoefficients withn= 2D(D– 2) exists. We study generating functions forW({j}) or the 3njcoefficients and develop an algorithm for their computation. Some of these generating functions are explicitly c

ISSN:0015-8208    

DOI:10.1002/prop.19820300203

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.19820300201

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY