Cosmological Models within f(T, B) Gravity in a Holographic Framework

We investigate the cosmological evolution of the universe for a spatially flat FLRW background space within the context of f(T,B) gravity, which is a recently formulated teleparallel theory that connects both f(T) and f(R) gravity under suitable limits. The analysis focuses on four different f(T,B) cosmological models corresponding to various choices of scale factor, namely, emergent, logamediate, and intermediate. In addition to this, we assume a power law-like function of f(T,B) gravity. The reconstruction of f(T,B) gravity considers the Holographic Ricci Dark Energy (HRDE) as the background fluid. We analyze the equation of state parameters and the squared speed of sound for the reconstructed models. Finally, we conduct a thermodynamical analysis for each reconstructed model. The generalized second law of thermodynamics (GSLT) is valid for the four different f(T,B) cosmological models.