College - Author 1
College of Science and Mathematics
Department - Author 1
Physics Department
Degree Name - Author 1
BS in Physics
Date
6-2025
Primary Advisor
Lei Lu, College of Science and Mathematics, Physics Department
Abstract/Summary
The Anti-deSitter Spacetime / Conformal Field Theory (AdS/CFT) correspondence is a well known holographic duality between ten dimensional superstring theories and conformal quantum field theories. The existence of such a correspondence is fascinating and the duality provides a powerful tool-set for working out problems in both string theory and quantum field theory. The correspondence defines a dictionary of terms that exist dual to one another in each theory, allowing theorists to understand the dynamics in one system based on quantities from another. Furthermore, when one side of the duality has strong coupling (meaning the approximations of perturbation theory are no longer valid), the other theory will have weak coupling, making this a powerful tool for computations in a strongly coupled theory. The AdS/CFT correspondence ties together multiple advanced areas of physics, including general relativity, quantum field theory, and string theory, requiring a large amount of knowledge for any scientists aiming to use the dictionary. This document is a compendium of theoretical physics from all these different areas, culminating in a discussion of the AdS/CFT correspondence that brings them all together. Prior knowledge of quantum mechanics and basic general relativity is assumed.
URL: https://digitalcommons.calpoly.edu/physsp/238
Included in
Cosmology, Relativity, and Gravity Commons, Elementary Particles and Fields and String Theory Commons, Quantum Physics Commons