Algebraic Renormalization: perturbative twisted considerations on topological Yang-Mills theory and on N=2 supersymmetric gauge theories

TL;DR

This paper discusses algebraic renormalization techniques applied to topological Yang-Mills and N=2 supersymmetric gauge theories, focusing on twisted perturbative considerations to understand their quantum properties.

Contribution

It introduces a novel algebraic approach to renormalization in twisted topological and supersymmetric gauge theories, expanding the understanding of their quantum structure.

Findings

Renormalization properties of topological Yang-Mills theories analyzed

Perturbative aspects of N=2 supersymmetric gauge theories examined

Algebraic methods applied to twisted theories for quantum consistency

Abstract

Lectures given at the First School on Field Theory and Gravitation, Vit\'{o}ria, Esp\'{\i}rito Santo, Brazil, 15-19 April, 1997.