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## Seminars

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• Title：Teleparallel Conformal Invariant Models Induced by Kaluza-Klein Reduction
• Start Date/Time：2017-06-08 / 12:30
• End Date/Time ：2017-06-08 / 13:30
• Speaker：Dr. Ling-Wei Luo (NTHU)
• Place：R521, 5F, 2nd General Building, Nat'l Tsing Hua Univ.
• Host：Prof. Pai-hsien Jennifer Hsu (NTHU)
• Abstract：
We study the extensions of teleparallism in the five dimensional
Kaluza-Klein (KK) scenario by writing the analogous form to the torsion scalar
$\dpi{300}\inline T_{\text{NGR}} = a\,T_{ijk} \, T^{ijk} + b\,T_{ijk} \,T^{kji} + c\,T^{j}{}_{ji} \, T^{k}{}_{k}{}^{i}$
in the four-dimensional New General Relativity (NGR)
with  arbitrary coefficients $\dpi{300}\inline a$$\dpi{300}\inline b$ and $\dpi{300}\inline c$. The effective Lagrangian can be obtained
after the KK reduction. We look for the different sets of the coefficients ($\dpi{300}\inline a$$\dpi{300}\inline b$$\dpi{300}\inline c$
corresponding to the different models. In general, the Einstein-frame does not exist for
the non-minimal coupled torsion scalar. We first show the requirement of the Einstein-frame
for non-minimal coupled Lagrangian. Then we demonstrate that the pure conformal invariant
gravity models can be constructed. In particular, the torsion vector can be identified
as the conformal gauge field, while the conformal gauge theory can be obtained.
Finally, we consider the weak field approximation and discuss the non-minimal coupled term
of the scalar current and torsion vector.