Wall crossing from Dirac zeromodes

A bstract We explore the physics of two-body decay of BPS states using semiclassical analysis to construct explicit solutions that illustrate the main features of wall crossing, for both ordinary and framed BPS states. In particular we recover the primitive wallcrossing formula from an asymptotic an...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics 2018-09, Vol.2018 (9), p.1-57, Article 38
Main Authors: Brennan, T. Daniel, Moore, Gregory W., Royston, Andrew B.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Dimensional stability
Elementary Particles
Extended Supersymmetry
Geometry
High energy physics
Monopoles
Nonperturbative Effects
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Solitons Monopoles and Instantons
String Theory
Supersymmetric Gauge Theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A bstract We explore the physics of two-body decay of BPS states using semiclassical analysis to construct explicit solutions that illustrate the main features of wall crossing, for both ordinary and framed BPS states. In particular we recover the primitive wallcrossing formula from an asymptotic analysis of certain Dirac-type operators on monopole moduli spaces. Along the way we give an asymptotic metric for the moduli space of singular monopoles, analogous to the Gibbons-Manton and Lee-Weinberg-Yi metrics for the moduli space of smooth monopoles, and we find evidence for the existence of stable non-BPS boundstates. Our discussion applies to four-dimensional N = 2 super-Yang-Mills theories with general gauge group and general ’t Hooft defects.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2018)038