Generalized Mathai-Quillen Topological Sigma Models
Pablo M. Llatas
TL;DR
This paper introduces a unified field theoretical framework for Mathai-Quillen topological sigma models, enabling simplified calculations of actions and variations in topological quantum systems.
Contribution
It presents a new, simplified approach to Mathai-Quillen topological field theories for maps between manifolds, applicable to various topological models.
Findings
Derived formulas for actions and Q-variations in topological models
Applied formalism to topological quantum mechanics and sigma models
Simplified calculations in topological field theories
Abstract
A simple field theoretical approach to Mathai-Quillen topological field theories of maps from an internal space to a target space is presented. As an example of applications of our formalism we compute by applying our formulas the action and Q-variations of the fields of two well known topological systems: Topological Quantum Mechanics and type-A topological Sigma Model.
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