TY - JOUR
T1 - Implications of Lorentz symmetry violation on a 5D supersymmetric model
AU - García-Aguilar, J. D.
AU - Pérez-Lorenzana, A.
N1 - Publisher Copyright:
© 2017 World Scientific Publishing Company.
PY - 2017/4/10
Y1 - 2017/4/10
N2 - Field models with n extra spatial dimensions have a larger SO(1, 3 + n) Lorentz symmetry which is broken down to the standard SO(1, 3) four-dimensional one by the compactification process. By considering Lorentz violating operators in a 5D supersymmetric Wess-Zumino model, which otherwise conserve the standard four-dimensional Poincaré invariance, we show that supersymmetry (SUSY) can be restored upon a simple deformation of the supersymmetric transformations. However, SUSY is not preserved in the effective 4D theory that arises after compactification when the 5D Lorentz violating operators do not preserve Z2: y →-y bulk parity. Our mechanism unveils a possible connection among Lorentz violation and the Scherk-Schwarz mechanism. We also show that parity preserving models, on the other hand, do provide well defined supersymmetric KK models.
AB - Field models with n extra spatial dimensions have a larger SO(1, 3 + n) Lorentz symmetry which is broken down to the standard SO(1, 3) four-dimensional one by the compactification process. By considering Lorentz violating operators in a 5D supersymmetric Wess-Zumino model, which otherwise conserve the standard four-dimensional Poincaré invariance, we show that supersymmetry (SUSY) can be restored upon a simple deformation of the supersymmetric transformations. However, SUSY is not preserved in the effective 4D theory that arises after compactification when the 5D Lorentz violating operators do not preserve Z2: y →-y bulk parity. Our mechanism unveils a possible connection among Lorentz violation and the Scherk-Schwarz mechanism. We also show that parity preserving models, on the other hand, do provide well defined supersymmetric KK models.
KW - Supersymmetry
KW - Wess-Zumino model
KW - effective model
KW - extra dimensional model
UR - http://www.scopus.com/inward/record.url?scp=85016016240&partnerID=8YFLogxK
U2 - 10.1142/S0217751X1750052X
DO - 10.1142/S0217751X1750052X
M3 - Artículo
AN - SCOPUS:85016016240
SN - 0217-751X
VL - 32
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
IS - 10
M1 - 1750052
ER -