Domain Wall Equations, Hessian of Superpotential, and Bogomol'nyi Bounds - INSPIRE

DataBETA

Domain Wall Equations, Hessian of Superpotential, and Bogomol'nyi Bounds

Shouxin Chen
(
- Henan U.
)
,
Yisong Yang
(
- New York U.
)

Dec 13, 2015

24 pages

Published in:

Nucl.Phys.B 904 (2016) 470-493

Published: Mar, 2016

e-Print:

1512.04080 [hep-th]

DOI:

10.1016/j.nuclphysb.2016.01.021

View in:

reference search11 citations

Citations per year

Abstract: (arXiv)

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.

Note:

25 pages

domain wall
superpotential
BPS
field theory
field equations: solution

References(54)

Figures(0)

[1]

Intersecting extended objects in supersymmetric field theories

E.R.C. Abraham
(
- Cambridge U.
)
,
P.K. Townsend
(
- Cambridge U.
)

- Nucl.Phys.B 351 (1991) 313-332
•
DOI:
- 10.1016/0550-3213(91)90093-D

[2]

Classical Solutions of SU(2) Yang-Mills Theories

Alfred Actor
(
- Dortmund U.
)

- Rev.Mod.Phys. 51 (1979) 461
•
DOI:
- 10.1103/RevModPhys.51.461

[3]

Exploring the vicinity of the Bogomolnyi-Prasad-Sommerfield bound

- J.Phys.A 34 (2001) 3351-3362
•
e-Print:
- hep-th/0103166
•
DOI:
- 10.1088/0305-4470/34/16/302

[4]

Quantum-induced interactions in the moduli space of degenerate BPS domain walls

- JHEP 01 (2014) 125
•
e-Print:
- 1307.0740
•
DOI:
- 10.1007/JHEP01(2014)125

[5]

ON ELECTROWEAK MAGNETISM

Jan Ambjorn
(
- Bohr Inst.
)
,
P. Olesen
(
- Bohr Inst.
)

- Nucl.Phys.B 315 (1989) 606-614
•
DOI:
- 10.1016/0550-3213(89)90004-7

[6]

Higher Winding Strings and Confined Monopoles in N=2 SQCD

R. Auzzi
(
- Hebrew U.
)
,
S. Bolognesi
(
- Cambridge U., DAMTP
)
,
M. Shifman
(
- Minnesota U., Theor. Phys. Inst.
)

- Phys.Rev.D 81 (2010) 085011
•
e-Print:
- 1001.1903
•
DOI:
- 10.1103/PhysRevD.81.085011

[7]

Confinement and Localization on Domain Walls

R. Auzzi
(
- Swansea U.
)
,
S. Bolognesi
(
- Minnesota U., Theor. Phys. Inst.
)
,
M. Shifman
(
- Minnesota U., Theor. Phys. Inst. and
- Saclay, SPhT
)
,
A. Yung
(
)

- Phys.Rev.D 79 (2009) 045016
•
e-Print:
- 0807.1908
•
DOI:
- 10.1103/PhysRevD.79.045016

[8]

Bags, junctions, and networks of BPS and nonBPS defects

D. Bazeia
(
- Paraiba U.
)
,
F.A. Brito
(
- Paraiba U.
)

- Phys.Rev.D 61 (2000) 105019
•
e-Print:
- hep-th/9912015
•
DOI:
- 10.1103/PhysRevD.61.105019

[9]

Tiling the plane without supersymmetry

D. Bazeia
(
- Paraiba U.
)
,
F.A. Brito
(
- Paraiba U.
)

- Phys.Rev.Lett. 84 (2000) 1094-1097
•
e-Print:
- hep-th/9908090
•
DOI:
- 10.1103/PhysRevLett.84.1094

[10]

Domain walls in three field models

D. Bazeia
(
- Paraiba U.
)
,
L. Losano
(
- Paraiba U.
)
,
C. Wotzasek
(
- Rio de Janeiro Federal U.
)

- Phys.Rev.D 66 (2002) 105025
•
e-Print:
- hep-th/0206031
•
DOI:
- 10.1103/PhysRevD.66.105025

[11]

Domain walls and superpotentials from M theory on Calabi-Yau three folds

Klaus Behrndt
(
- Caltech and
- Southern California U.
)
,
Sergei Gukov
(
- Caltech and
- Southern California U.
)

- Nucl.Phys.B 580 (2000) 225-242
•
e-Print:
- hep-th/0001082
•
DOI:
- 10.1016/S0550-3213(00)00149-8

[12]

Stability of Classical Solutions

E.B. Bogomolny
(
- Landau Inst.
)

- Sov.J.Nucl.Phys. 24 (1976) 449,
- Yad.Fiz. 24 (1976) 861-870

[13]

A Note on Chern-Simons solitons: A Type III vortex from the wall vortex

Stefano Bolognesi
(
- Minnesota U., Theor. Phys. Inst.
)
,
Sven Bjarke Gudnason
(
- Pisa U. and
- INFN, Pisa
)

- Nucl.Phys.B 805 (2008) 104-123
•
e-Print:
- 0711.3803
•
DOI:
- 10.1016/j.nuclphysb.2008.07.018

[14]

Yang-Mills fields which are not selfdual

G. Bor
(
- Arizona U.
)

- Commun.Math.Phys. 145 (1992) 393-410
•
DOI:
- 10.1007/BF02099144

[15]

Supersymmetric superconducting bag as a core of Kerr spinning particle

Alexander Y. Burinskii
(
- Moscow, Nucl. Safety Inst.
)

- Grav.Cosmol. 8 (2002) 261-271
•
e-Print:
- hep-th/0008129

[16]

Nonlinear superposition law and Skyrme crystals

Fabrizio Canfora
(
- CECS, Valdivia and
- Andres Bello Natl. U.
)

- Phys.Rev.D 88 (2013) 6, 065028
•
e-Print:
- 1307.0211
•
DOI:
- 10.1103/PhysRevD.88.065028

[17]

Exact kink solitons in a monopole confinement problem

- Phys.Rev.D 86 (2012) 085030
•
e-Print:
- 1211.0888
•
DOI:
- 10.1103/PhysRevD.86.085030

[18]

Exact Kink Solitons in Skyrme Crystals

Shouxin Chen
(
- Henan U.
)
,
Yijun Li
(
- Henan U.
)
,
Yisong Yang
(
- New York City Coll. Tech.
)

- Phys.Rev.D 89 (2014) 2, 025007
•
e-Print:
- 1312.2479
•
DOI:
- 10.1103/PhysRevD.89.025007

[19]

Stringy domain walls and target space modular invariance

- Phys.Rev.Lett. 67 (1991) 1836-1839
•
DOI:
- 10.1103/PhysRevLett.67.1836

[20]

Supergravity domain walls

Mirjam Cvetic
(
- Princeton, Inst. Advanced Study and
- Pennsylvania U.
)
,
Harald H. Soleng
(
- CERN
)

- Phys.Rept. 282 (1997) 159-223
•
e-Print:
- hep-th/9604090
•
DOI:
- 10.1016/S0370-1573(96)00035-X

[21]

PT-symmetric kinks

- Phys.Rev.D 75 (2007) 125001
•
DOI:
- 10.1103/PhysRevD.75.125001

[22]

BPS domain walls in large N supersymmetric QCD

G.R. Dvali
(
- New York U. and
- ICTP, Trieste
)
,
Gregory Gabadadze
(
- New York U.
)
,
Zurab Kakushadze
(
- Harvard U. and
- Northeastern U.
)

- Nucl.Phys.B 562 (1999) 158-180
•
e-Print:
- hep-th/9901032
•
DOI:
- 10.1016/S0550-3213(99)00562-3

[23]

Large N domain walls as D-branes for N=1 QCD string

G.R. Dvali
(
- ICTP, Trieste
)
,
Zurab Kakushadze
(
- Harvard U. and
- Northeastern U.
)

- Nucl.Phys.B 537 (1999) 297-316
•
e-Print:
- hep-th/9807140
•
DOI:
- 10.1016/S0550-3213(98)00683-X

[24]

Topology and Saddle Points in Field Theories

P. Forgacs
(
- CERN
)
,
Z. Horvath
(
- Eotvos U.
)

- Phys.Lett.B 138 (1984) 397-401
•
DOI:
- 10.1016/0370-2693(84)91926-9

[25]

A Bogomolny equation for intersecting domain walls

G W Gibbons
(
- Cambridge U., DAMTP
)
,
P K Townsend
(
- Cambridge U., DAMTP
)

- Phys.Rev.Lett. 83 (1999) 1727-1730
•
e-Print:
- hep-th/9905196
•
DOI:
- 10.1103/PhysRevLett.83.1727

1-25 of 54
1
2
3
25 / page