One of the biggest puzzles in physics is unifying all four fundamental forces. The strong, weak, and electromagnetic forces are explained by quantum field theories, while gravity is described by Einstein’s general relativity which is a classical theory.  If we could quantize gravity, we would gain new insights into black holes, the fabric of spacetime, and even the origin of the universe. 

String theory emerged as a leading candidate for a theory of quantum gravity. In 1997, Juan Maldacena proposed something revolutionary: the AdS/CFT correspondence (also known as gauge/gravity duality).  It states that a gravity theory in a higher-dimensional Anti-de Sitter (AdS) space is equivalent to a conformal quantum field theory (CFT) defined on its lower-dimensional boundary. Two very different descriptions, one involving curved spacetime and gravity, and another involving quantum fields  are actually equivalent.

Why is this powerful? Because this "holographic" viewpoint lets us use tools from one side to understand the other. For example, questions about strongly coupled quantum systems (which is difficult to deal with using QFT) can be tackled by studying it weakly coupled gravitational counterpart. 

My doctoral thesis, “Features of the Holographic Superconductors” ,explores the applications of AdS/CFT duality to the study the strongly coupled high-temperature superconductors. The Holographic superconductors are gravitational models that mimic the behavior of high-temperature superconductors. My research focuses on studying phase transitions, conductivity, and Meissner-like effects in these systems using both analytical and numerical methods.