Commentaries on instantons
Calum Joshua Robson
Abstract
Open-access reader
Calum Joshua Robson
Abstract
Open-access reader
I examine the dynamics of noncommutative instantons of instanton number 2 and commutative instantons of instanton number 3 in 5d Yang Mills theory. I begin by detailing the construction of the instanton solutions, their moduli space, and the moduli space potential using an explicit parametrisation of the moduli space coordinates in terms of the biquaternions. I then go on to numerically analyse the dynamics on the moduli spaces I have constructed.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
I examine the dynamics of noncommutative instantons of instanton number 2 and commutative instantons of instanton number 3 in 5d Yang Mills theory. I begin by detailing the construction of the instanton solutions, their moduli space, and the moduli space potential using an explicit parametrisation of the moduli space coordinates in terms of the biquaternions. I then go on to numerically analyse the dynamics on the moduli spaces I have constructed.
Key concepts: Instanton, Moduli space, Noncommutative geometry, Modular equation, Moduli, Moduli of algebraic curves, Commutative property, Space (punctuation)