Massless finite and infinite spin representations of Poincaré group in six dimensions

Physics Letters B

A.P. Isaev¹  S.A. Fedoruk²  M.A. Podoinitsyn³  I.L. Buchbinder⁴ 

[1] Corresponding author.;National Research Tomsk State University, 634050 Tomsk, Russia;Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia;Department of Theoretical Physics, Tomsk State Pedagogical University, 634041 Tomsk, Russia;

关键词: Massless representations;    Helicity;    Infinite spin representations;    Casimir operators;   

DOI  :  

来源: DOAJ

【 摘 要 】

We study the massless irreducible representations of the Poincaré group in the six-dimensional Minkowski space. The Casimir operators are constructed and their eigenvalues are found. It is shown that the finite spin (helicity) representation is defined by two integer or half-integer numbers while the infinite spin representation is defined by the real parameter μ2 and one integer or half-integer number.

【 授权许可】

Unknown