TY - JOUR
T1 - Lie algebra expansions, non-relativistic matter multiplets and actions
AU - Kasikci, Oguzhan
AU - Ozkan, Mehmet
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/1
Y1 - 2022/1
N2 - We discuss a general methodology to provide rigid, off-shell matter multiplets and actions for recently constructed non-relativistic superalgebras. The technique is based on the Lie algebra expansion, which, in the context of supersymmetry, has so far been used to obtain non-relativistic on-shell supergravity models. We first explain how the Lie algebra expansion can be implemented to generate off-shell rigid multiplets on a flat background by developing an auxiliary framework where only the lowest order behavior of the spatial and temporal vielbein is relevant. We then provide explicit examples for the field content, the transformation rules as well as action principles for certain multiplets in three and four dimensions.
AB - We discuss a general methodology to provide rigid, off-shell matter multiplets and actions for recently constructed non-relativistic superalgebras. The technique is based on the Lie algebra expansion, which, in the context of supersymmetry, has so far been used to obtain non-relativistic on-shell supergravity models. We first explain how the Lie algebra expansion can be implemented to generate off-shell rigid multiplets on a flat background by developing an auxiliary framework where only the lowest order behavior of the spatial and temporal vielbein is relevant. We then provide explicit examples for the field content, the transformation rules as well as action principles for certain multiplets in three and four dimensions.
KW - Extended Supersymmetry
KW - Space-Time Symmetries
UR - http://www.scopus.com/inward/record.url?scp=85122938936&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2022)081
DO - 10.1007/JHEP01(2022)081
M3 - Article
AN - SCOPUS:85122938936
SN - 1126-6708
VL - 2022
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 81
ER -