TY - JOUR

T1 - Infinite-parametric extension of the conformal algebra in D > 2 space-time dimensions

AU - Fradkin, E. S.

AU - Linetsky, V. Ya

PY - 1991/1/3

Y1 - 1991/1/3

N2 - On the basis of the analytic continuations of semisimple Lie algebras discovered recently by us we construct manifestly quasi-conformal infinite-dimensional algebras AC(so(4, 1)) and PAC(so(3, 2)) extending the conformal algebras in three-dimensional euclidean and Minkowski space-time like the Virasoro algebra extends so(2, 1). Their higher spin generalizations are also constructed. A counterpart of the central extension for D > 2 and possible applications in exactly solvable conformal quantum field models in D > 2 are discussed.

AB - On the basis of the analytic continuations of semisimple Lie algebras discovered recently by us we construct manifestly quasi-conformal infinite-dimensional algebras AC(so(4, 1)) and PAC(so(3, 2)) extending the conformal algebras in three-dimensional euclidean and Minkowski space-time like the Virasoro algebra extends so(2, 1). Their higher spin generalizations are also constructed. A counterpart of the central extension for D > 2 and possible applications in exactly solvable conformal quantum field models in D > 2 are discussed.

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U2 - 10.1016/0370-2693(91)91369-7

DO - 10.1016/0370-2693(91)91369-7

M3 - Article

AN - SCOPUS:0040743027

VL - 253

SP - 97

EP - 106

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -