TY - JOUR
AU - Sorokin, D. P.
PY - 2019/11/25
Y2 - 2024/06/20
TI - On Goldstone Fields with Spin Higher than 1/2
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 64
IS - 11
SE - Fields and elementary particles
DO - 10.15407/ujpe64.11.1014
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019505
SP - 1014
AB - <p>We review the properties of 3d non-linear models of vector and vector-spinor Goldstone fields associated with the spontaneous breaking of certain higher-spin counterparts of supersymmetry (so-called Hietarinta algebras), whose Lagrangians are of the Volkov–Akulov type. At the quadratic order, these Lagrangians contain, respectively, the Chern–Simons and Rarita–Schwinger terms. The vector Goldstone model has a propagating degree of freedom which, in a decoupling limit, is a quartic Galileon scalar field (similar to those appearing in models of modified gravity). On the other hand, the vector-spinor goldstino retains the gauge symmetry of the Rarita–Schwinger action and eventually reduces to the latter by a non-linear field redefinition. We thus find that, in three space-time dimensions, the free Rarita–Schwinger action is invariant under a hidden rigid symmetry generated by fermionic vector-spinor operators and acting non-linearly on the Rarita–Schwinger goldstino.</p>
ER -