A mini-course on Generalized Symmetries and a relation to Cobordisms and K-theory

TL;DR

This mini-course explores the relationship between generalized symmetries, cobordisms, and K-theory, highlighting their roles in quantum field theory and string theory for advanced students.

Contribution

It introduces a novel method linking generalized symmetries with cobordisms and K-theory within string theory, expanding theoretical understanding.

Findings

Provides an overview of generalized symmetries and cohomology

Connects symmetries with cobordisms and K-theory in string theory

Offers educational material for advanced students

Abstract

This mini-course, conducted at the XI School on Geometric, Algebraic, and Topological Methods in Quantum Field Theory held in Villa de Leyva, Colombia, provides an overview of the interconnection between generalized symmetries and cohomology. It is designed for advanced undergraduate students with a background in physics or mathematics. Additionally, we describe a method for connecting generalized symmetries with cobordisms and K-theory within the framework of string theory. We assume basic knowledge in quantum field theory and differential forms.