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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  
      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 ab and c. The effective Lagrangian can be obtained 
      after the KK reduction. We look for the different sets of the coefficients (abc
      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.
       

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