Vector-like models with O(N) and U(N) symmetries at their critical points were seen to exhibit duality with higher spin gravitational theories of Vasiliev. In the …
Nonperturbative issues in quantum gravity in Anti de Sitter spacetimes are addressed by means of the manifestly holographic framework of Anti de Sitter/Conformal Field theory …
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical many body system with random all-to-all interactions on fermionic N sites (N>>1). This model is shown …
We present the loop space optimization framework for solving large $N$ multi-matrix systems. Based on the collective, loop space representations, the scheme provides a systematic …
The Large Hadron Collider (LHC) has had a very successful data-taking phase with Run 1. After the discovery of the Higgs, confirming the predictions of …
This dissertation summarizes studies directed at a deeper understanding of the AdS/CFT correspondence, its origin and its dynamics. First, classical strings in AdS were considered …
Despite numerous attempts at explaining and experimentally probing dark matter, thus far only its gravitational effects have been observed. These gravitational effects leave us blind …
In this thesis I explore applications of non-standard cosmological and gravitational theories theories in different sectors. The thesis contains three main parts. The first is …