Domain wall equations, Hessian of superpotential, and Bogomol'nyi bounds

Shouxin Chen, Yisong Yang

Research output: Contribution to journalArticlepeer-review

Abstract

An important question concerning the classical solutions of the equations of motion arising in quantum field theories at the BPS critical coupling is whether all finite-energy solutions are necessarily BPS. In this paper we present a study of this basic question in the context of the domain wall equations whose potential is induced from a superpotential so that the ground states are the critical points of the superpotential. We prove that the definiteness of the Hessian of the superpotential suffices to ensure that all finite-energy domain-wall solutions are BPS. We give several examples to show that such a BPS property may fail such that non-BPS solutions exist when the Hessian of the superpotential is indefinite.

Original languageEnglish (US)
Pages (from-to)470-493
Number of pages24
JournalNuclear Physics B
Volume904
DOIs
StatePublished - Mar 1 2016

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Domain wall equations, Hessian of superpotential, and Bogomol'nyi bounds'. Together they form a unique fingerprint.

Cite this