The aim of this lectures notes is to show (and prove) the existence of the following functors and commutative diagram:
- Lecture notes can be found here
QFT in CST (categorical)
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:
- RG flows, CFTs and defects:
- Boundaries: Topic of my diploma project with Agnese.
- Lines: Project with Miguel
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).
News!
Internship: Bootstrapping gauge theories
Apr 12
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.
Schools and Workshops
2024 IHES Summer School: Symmetries and Anomalies: a Modern Take
Jul 01
Courses on Generalized Symmetries, anomalies and their relations with high energy, condensed matter and mathematics. Continue reading
2024 ICTP Spring School
Apr 20
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 readingPosts and Notes
Project Nodes
Full graph of projectsArchives
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SUSY LACES (Elli Pomoni): SUSY Algebra, representations, superspace and Superfields, lagrangians for Supersymmetric (gauge) theories, non-renormalization theorems, superConformal algebra and representation theory.
- Shifman Advanced QFT
- Lecture notes can be found here here
- Nakahara Geometry, topology and physics (Classic)
- Hirosi Ooguri Mathematics for Theoretical Physicists Video Lecture notes
- Lecture notes can be found here
Supersymmetry lecture notes
Lecture notes for a first SUSY course:
References:
Instantons on QM and QFT
These are some references that I followed for a first introduction to Instantons in QM and QFT:
References:
QFT course (Intro to advanced QFT)
Geometry and Physics.
This is a compilaton of geometry and physics notes that I followed in the past years.
References:
Blackholes and BH thermodynamics
These are some references that I followed for a first introduction to Black holes and BH thermodynamics
Dirac manifolds and classical mechanics.
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.
AQFT in a nutshell and the notion of observable
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
The Unruh Effect and Measurements in Relativistic Quantum Field Theory a.k.a undergrad thesis
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,
Mathematics dissertation thesis
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,