2018/05/31 by T. Daniel Brennan, Gregory W. Moore, Andrew B. Royston · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dirac (video compression format) #Gauge (firearms) #Gauge theory #Magnetic monopole #Metric (unit) #Moduli #Moduli space #Quantum Chromodynamics and Particle Interactions #Semiclassical physics #Space (punctuation) #hep-th
paper · pdf · doi:10.1007/jhep09(2018)038
32 pages plus appendices; 1 figure. v2: references added, typos fixed. v3: references added, published version
openalex created_date 2018/06/01 · openalex publication_date 2018/09/01 · arxiv created 2019/05/05 · arxiv updated 2019/05/07 · openalex updated_date 2026/08/06
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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> super-Yang-Mills theories with general gauge group and general ’t Hooft defects.