My name is Rafael Cordoba. I am a physicist and matematician interested in foundational aspects of QFTs, CFTs, generalized symmetries and quantum gravity. Right now I have been exploring the following topics:
Currently I am student of the École Normale Supérieure (ENS)– PSL in Paris, France.
Click here to see what I been up to (non-academia).
We continue the exploration of the "Bootstrapping gauge theories" program. We found an improvement of the bootstrap and identify the exact S-Matrix for the pion-pion scattering. Results can be found here.
Courses on Generalized Symmetries, anomalies and their relations with high energy, condensed matter and mathematics. Continue reading
School on S-Matrix bootstrap, entropy formulas in AdS/CFT, celestial holography and... Here are some lecture notes and project from Spring School on Superstring Theory and Related Topics
Continue readingLecture notes for a first SUSY course:
SUSY LACES (Elli Pomoni): SUSY Algebra, representations, superspace and Superfields, lagrangians for Supersymmetric (gauge) theories, non-renormalization theorems, superConformal algebra and representation theory.
These are some references that I followed for a first introduction to Instantons in QM and QFT:
This is a compilaton of geometry and physics notes that I followed in the past years.
These are some references that I followed for a first introduction to Black holes and BH thermodynamics
En esta charla se introduce la mecanica clasíca desde el punto de vista symplectico, de Poisson y mediante el haz generalizado (dirac structures). Notes can be downloaded here.
En esta charla se introducen conceptos claves de Algebraic Quantum Field Theory (AQFT) como lo son el álgebra de operadores (C^* y von Neumann), la construcción GNS, el teorema espectral
Lately intense discussion regarding measurements in relativistic quantum mechanics has been developed. We present the Fewster-Verch measuring scheme that allows to address problems of locality and causality; an explicit example is given and is used to model an Unruh-deWitt type of detector. The results are compared with the traditional approach of the UdW detector,
Given a trajectory of a physical system, the energy of the system, more precisely the energy of the trajectory of the system, plays a central role in theoretical physics that, for example, can be used to deduce the dynamics of the system. In analogy, given a map between Riemannian manifolds,
