skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Wall crossing from Dirac zeromodes

Abstract

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.

Authors:
 [1];  [1];  [2]
  1. Rutgers Univ., Piscataway, NJ (United States). NHETC and Dept. of Physics and Astronomy
  2. Texas A & M Univ., College Station, TX (United States). George P. & Cynthis Woods Mitchell Inst. for Fundamental Physics and Astronomy; Pennsylvania State Univ. Fayette, Lemont Furnace, PA (United States)
Publication Date:
Research Org.:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1502398
Grant/Contract Number:  
SC0010008
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Extended Supersymmetry; Nonperturbative Effects; Solitons Monopoles and Instantons; Supersymmetric Gauge Theory

Citation Formats

Brennan, T. Daniel, Moore, Gregory W., and Royston, Andrew B. Wall crossing from Dirac zeromodes. United States: N. p., 2018. Web. doi:10.1007/jhep09(2018)038.
Brennan, T. Daniel, Moore, Gregory W., & Royston, Andrew B. Wall crossing from Dirac zeromodes. United States. doi:10.1007/jhep09(2018)038.
Brennan, T. Daniel, Moore, Gregory W., and Royston, Andrew B. Fri . "Wall crossing from Dirac zeromodes". United States. doi:10.1007/jhep09(2018)038. https://www.osti.gov/servlets/purl/1502398.
@article{osti_1502398,
title = {Wall crossing from Dirac zeromodes},
author = {Brennan, T. Daniel and Moore, Gregory W. and Royston, Andrew B.},
abstractNote = {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.},
doi = {10.1007/jhep09(2018)038},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2018,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: This gure demonstrates the brane construction of line defects in PSU(2) gauge theory from SU(3) gauge theory. (a) shows the fundamental monopoles in the SU(3) theory. By taking the rightmost brane to in nity, we arrive at (b) with line defects in the PSU(2) theory.

Save / Share:

Works referenced in this record:

Bound state transformation walls
journal, March 2012

  • Andriyash, Evgeny; Denef, Frederik; Jafferis, Daniel L.
  • Journal of High Energy Physics, Vol. 2012, Issue 3
  • DOI: 10.1007/JHEP03(2012)007

Wall crossing from Boltzmann black hole halos
journal, July 2011

  • Manschot, Jan; Pioline, Boris; Sen, Ashoke
  • Journal of High Energy Physics, Vol. 2011, Issue 7
  • DOI: 10.1007/JHEP07(2011)059

Fundamental monopoles and multimonopole solutions for arbitrary simple gauge groups
journal, May 1980


New hyper-Kähler manifolds by fixing monopoles
journal, July 1997


Parameter counting for singular monopoles on ℝ3
journal, October 2014

  • Moore, Gregory W.; Royston, Andrew B.; Van den Bleeken, Dieter
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/JHEP10(2014)142

Mechanics and quantum supermechanics of a monopole probe including a Coulomb potential
journal, April 2008


Counting Yang-Mills dyons with index theorems
journal, November 2000


Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory
journal, July 2010

  • Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew
  • Communications in Mathematical Physics, Vol. 299, Issue 1
  • DOI: 10.1007/s00220-010-1071-2

Singular Monopoles and Gravitational Instantons
journal, June 1999

  • Cherkis, Sergey A.; Kapustin, Anton
  • Communications in Mathematical Physics, Vol. 203, Issue 3
  • DOI: 10.1007/s002200050632

The moduli space metric for well-separated BPS monopoles
journal, August 1995


Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics
journal, May 1997


Four ways across the wall
journal, February 2012


Dyons and S-duality in N = 4 supersymmetric gauge theory
journal, July 1996


Monopoles and the Gibbons-Manton Metric
journal, June 1998


D-branes, monopoles and Nahm equations
journal, October 1997


Parameter counting for multimonopole solutions
journal, August 1979


Super Yang-Mills theory with impurity walls and instanton moduli spaces
journal, June 2011


Singular monopoles and supersymmetric gauge theories in three dimensions
journal, August 1998


Brane bending and monopole moduli
journal, October 2014

  • Moore, Gregory W.; Royston, Andrew B.; Van den Bleeken, Dieter
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/JHEP10(2014)157

Classical and quantum dynamics of BPS monopoles
journal, September 1986


Electromagnetic duality and SU(3) monopoles
journal, May 1996


Moduli space of many BPS monopoles for arbitrary gauge groups
journal, July 1996


Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994


Asymptotic Metrics for SU ( N )-Monopoles with Maximal Symmetry Breaking
journal, December 1998


Framed BPS states
journal, January 2013

  • Gaiotto, Davide; Moore, Gregory W.; Neitzke, Andrew
  • Advances in Theoretical and Mathematical Physics, Vol. 17, Issue 2
  • DOI: 10.4310/ATMP.2013.v17.n2.a1

Instantons on Gravitons
journal, June 2011


Singular monopoles from Cheshire bows
journal, April 2011


Taub–NUT dynamics with a magnetic field
journal, June 2016


Wall-crossing of D4-branes using flow trees
journal, January 2011


Long range forces and supersymmetric bound states
journal, December 2001


Split states, entropy enigmas, holes and halos
journal, November 2011

  • Denef, Frederik; Moore, Gregory W.
  • Journal of High Energy Physics, Vol. 2011, Issue 11
  • DOI: 10.1007/JHEP11(2011)129

A note on the (1, 1,…,1) monopole metric
journal, August 1997


Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994


Wall-crossing made smooth
journal, April 2015


The existence of multi-monopole solutions to the non-Abelian, Yang-Mills-Higgs Equations for arbitrary simple gauge groups
journal, September 1981

  • Taubes, Clifford Henry
  • Communications in Mathematical Physics, Vol. 80, Issue 3
  • DOI: 10.1007/BF01208275

A Laguerre Polynomial Orthogonality and the Hydrogen atom
journal, April 2003


Crossing the wall: branes versus bundles
journal, January 2010

  • Diaconescu, Duiliu-Emanuel; Moore, Gregory W.
  • Advances in Theoretical and Mathematical Physics, Vol. 14, Issue 6
  • DOI: 10.4310/ATMP.2010.v14.n6.a2

Supergravity flows and D-brane stability
journal, August 2000


Monopoles and Wilson lines
journal, June 2014


General low energy dynamics of supersymmetric monopoles
journal, February 2001


Monopole dynamics and BPS dyons in N = 2 super-Yang-Mills theories
journal, May 2000


Zero modes and bound states of the supersymmetric monopole
journal, February 1981


A remark on the scattering of BPS monopoles
journal, March 1982


Dyon dynamics near marginal stability and non-BPS states
journal, October 2008


Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories
journal, December 1995


Dirac operators on the Taub-NUT space, monopoles and SU(2) representations
journal, January 2014

  • Jante, Rogelio; Schroers, Bernd J.
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)114

Semiclassical framed BPS states
journal, July 2016

  • Moore, Gregory W.; Royston, Andrew B.; Van den Bleeken, Dieter
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)071

S-duality and the dyon spectrum in N = 2 super Yang-Mills theory
journal, March 1996


Low-energy dynamics of N = 2 supersymmetric monopoles
journal, January 1994


Hyper-K�hler metrics and a generalization of the Bogomolny equations
journal, December 1988

  • Pedersen, Henrik; Poon, Yat Sun
  • Communications in Mathematical Physics, Vol. 117, Issue 4
  • DOI: 10.1007/BF01218385

Axial-vector anomalies and the index theorem in charged Schwarzschild and Taub-NUT spaces
journal, September 1978


    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.