3D Chern-Simons-like gravity models for N=2,3,4

2022-1
Dedeoğlu, Büşra
Our objective in this thesis is to find and study three-dimensional gravity models which are broadly termed as ``Chern-Simons-like models'' for $N=2,3,4$ cases. First, the term ``Chern-Simons-like" is discussed and the difference between the Chern-Simons theory and Chern-Simons-like theory is given. Starting from the most generic Lagrangians which are invariant under local Lorentz transformations, the conditions that must be fulfilled so that the Bianchi identity (in the first order formalism) holds is found for each case. To determine whether the models found by using local Lorentz invariance and Bianchi identity are physical, Hamiltonian analysis is used.

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Citation Formats
B. Dedeoğlu, “3D Chern-Simons-like gravity models for N=2,3,4,” M.S. - Master of Science, Middle East Technical University, 2022.