Compactification in higher-spin fields with massless synchronous couplings

R. A. Nascimento, Y. H. Cho, M. Y. S. Lim, A. P. Zaccaria
Comments: 12 pages, 2 figures

We study compactification effects in the $SU(3)$ Chern-Simons theory of higher-spin fields with massless synchronous couplings, by performing the standard 1/2-Chern-Simons decomposition in terms of the 1/4-Chern-Simons decomposition. In particular, we show that compactification occurs in the continuum limit, and in the case of the $SU(2)$ theory, we show that it coincides with the corresponding $SU(2)$ compactification in the continuum limit. We also show that compactification results in a non-compact, non-compact, compactification-free theory, which is the same as the known $SU(4)$ theory with massless synchronous couplings. Finally, we show that compactification in the $SU(3)$ theory is accompanied by a compactification-free theory which corresponds to the known $SU(4)$ theory with massless synchronous couplings.