UCLA

In this dissertation, we construct Janus-type solutions of three-dimensional gauged supergravity. We find solutions that correspond to RG-flow interfaces between CFTs with different central charges by solving the BPS flow equations or the equations of motion. Quantities such as transmission coefficients and holographic quantities such as the entanglement entropy are calculated, as well as plots of the RG-flows to determine whether some supersymmetry is preserved.

In chapter 1, we review the AdS/CFT correspondence, supergravity and an introduction to transmission in conformal interfaces. In chapter 2, we construct Janus-type solutions of three-dimensional gauged supergravity with sixteen supersymmetries, as well as the RG-flow interfaces. In chapter 3, we generalize the previous work with a general $\alpha$ for the embedding tensor of the gauged supergravity. In chapter 4, we discuss the Janus and RG-flow solutions of N = 2, d = 3 gauged supergravity.