Monopoles in Quantum Corrected N=2 Super Yang-Mills Theory

TL;DR

This paper investigates the quantum effects on monopoles in N=2 super Yang-Mills theories, revealing that BPS equations remain unchanged outside a quantum core and identifying quantum generalizations of BPS solitons.

Contribution

It introduces quantum generalizations of BPS monopoles and analyzes the impact of higher-derivative corrections on the effective action in N=2 super Yang-Mills.

Findings

BPS equations are unaffected outside the quantum core.

Two quantum generalizations of BPS solitons are identified.

Higher-derivative corrections do not alter the BPS mass formula.

Abstract

We study the low-energy effective Hamiltonian of N=2 super Yang-Mills theories. We find that the BPS equations are unchanged outside a quantum core where higher dimension contributions are expected to be important. We find two quantum generalizations of the BPS soliton. The leading higher-derivative correction to the effective action is shown not to contribute to the BPS mass formula.