Symmetries of higher-spin current interactions in four dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 401-420
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We show that the current interaction of massless fields in four dimensions breaks the $\mathfrak{sp}(8)$ symmetry of free massless equations of arbitrary spin down to the conformal symmetry $\mathfrak{su}(2,2)$. This breaking agrees with the form of the nonlinear higher-spin field equations.
Keywords:
higher symmetry, conformal symmetry, conserved current.
@article{TMF_2016_187_3_a0,
author = {O. A. Gelfond and M. A. Vasiliev},
title = {Symmetries of higher-spin current interactions in four dimensions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {401--420},
publisher = {mathdoc},
volume = {187},
number = {3},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a0/}
}
TY - JOUR AU - O. A. Gelfond AU - M. A. Vasiliev TI - Symmetries of higher-spin current interactions in four dimensions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2016 SP - 401 EP - 420 VL - 187 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a0/ LA - ru ID - TMF_2016_187_3_a0 ER -
O. A. Gelfond; M. A. Vasiliev. Symmetries of higher-spin current interactions in four dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 401-420. http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a0/