Z(2) monopoles in SU(n) Yang-Mills-Higgs theories

Z(n) monopoles are important for the understanding of Goddard-Nuyts-Olive duality when the scalar field is not in the adjoint representation. We analyze the Z(2) monopole solutions in a SU(n) Yang-Mills-Higgs theory spontaneously broken to Spin(n)/Z(2) by a scalar in the n x n representation. We construct a Z(2) monopole asymptotic form for each of the weights of the defining representation of the algebra dual to so(n).

Note:

20 pages. Text improved, results unchanged. Matches version published in Phys. Rev. D

02.20.Sv
11.15.-q
14.80.Hv
monopole: Z(2)
field theory: scalar
Yang-Mills-Higgs theory
duality
field equations: monopole
asymptotic behavior
Spin(N)/Z(2)

References(31)

Figures(0)

Gauge Theories and Magnetic Charge

P. Goddard
(
- Cambridge U.
)
,
J. Nuyts
(
- UMH, Mons
)
,
David I. Olive
(
- CERN and
- Bohr Inst.
)

- Nucl.Phys.B 125 (1977) 1-28
•
DOI:
- 10.1016/0550-3213(77)90221-8

New Developments in the Theory of Magnetic Monopoles

P. Goddard
(
- Cambridge U.
)
,
David I. Olive
(
- CERN and
- Imperial Coll., London
)

- Rept.Prog.Phys. 41 (1978) 1357
•
DOI:
- 10.1088/0034-4885/41/9/001

Charge-monopole duality in spontaneously broken gauge theories

F. Alexander Bais
(
- Pennsylvania U.
)

- Phys.Rev.D 18 (1978) 1206
•
DOI:
- 10.1103/PhysRevD.18.1206

Parameter Counting for Multi-Monopole Solutions

Erick J. Weinberg
(
- Columbia U.
)

- Phys.Rev.D 20 (1979) 936-944
•
DOI:
- 10.1103/PhysRevD.20.936

Fundamental Monopoles and Multi-Monopole Solutions for Arbitrary Simple Gauge Groups

Erick J. Weinberg
(
- Columbia U.
)

- Nucl.Phys.B 167 (1980) 500-524
•
DOI:
- 10.1016/0550-3213(80)90245-X

Fundamental Monopoles in Theories With Arbitrary Symmetry Breaking

Erick J. Weinberg
(
- Columbia U.
)

- Nucl.Phys.B 203 (1982) 445-471
•
DOI:
- 10.1016/0550-3213(82)90324-8

Charge Quantization in Theories With an Adjoint Representation Higgs Mechanism

P. Goddard
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Nucl.Phys.B 191 (1981) 511-527
•
DOI:
- 10.1016/0550-3213(81)90311-4

The Magnetic Charges of Stable Selfdual Monopoles

P. Goddard
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Nucl.Phys.B 191 (1981) 528-548
•
DOI:
- 10.1016/0550-3213(81)90312-6

Magnetic Monopoles as Gauge Particles?

C. Montonen
(
- CERN
)
,
David I. Olive
(
- CERN
)

- Phys.Lett.B 72 (1977) 117-120
•
DOI:
- 10.1016/0370-2693(77)90076-4

Supersymmetry Algebras That Include Topological Charges

Edward Witten
(
- Harvard U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Phys.Lett.B 78 (1978) 97-101
•
DOI:
- 10.1016/0370-2693(78)90357-X

Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1

Hugh Osborn
(
- Cambridge U.
)

- Phys.Lett.B 83 (1979) 321-326
•
DOI:
- 10.1016/0370-2693(79)91118-3

Dyon - monopole bound states, selfdual harmonic forms on the multi - monopole moduli space, and SL(2,Z) invariance in string theory

Ashoke Sen
(
- Tata Inst.
)

- Phys.Lett.B 329 (1994) 217-221
•
e-Print:
- hep-th/9402032
•
DOI:
- 10.1016/0370-2693(94)90763-3

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

- Nucl.Phys.B 426 (1994) 19-52,
- Nucl.Phys.B 430 (1994) 485-486 (erratum)
•
e-Print:
- hep-th/9407087
•
DOI:
- 10.1016/0550-3213(94)90124-4

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

- Nucl.Phys.B 431 (1994) 484-550
•
e-Print:
- hep-th/9408099
•
DOI:
- 10.1016/0550-3213(94)90214-3

- Nucl.Phys.B 431 19

A Strong coupling test of S duality

- Nucl.Phys.B 431 (1994) 3-77
•
e-Print:
- hep-th/9408074
•
DOI:
- 10.1016/0550-3213(94)90097-3

Magnetic Monopoles With $Z(n$ ) Charges

Erick J. Weinberg
(
- Columbia U.
)
,
David London
(
- Chicago U., EFI and
- Chicago U.
)
,
Jonathan L. Rosner
(
- Chicago U., EFI and
- Chicago U.
)

- Nucl.Phys.B 236 (1984) 90-108
•
DOI:
- 10.1016/0550-3213(84)90526-1

Exact $Z(N$ ) Monopole Solutions in Gauge Theories With Nonadjoint Higgs Representations

F.A. Bais
(
- Amsterdam U.
)
,
R. Laterveer
(
- Amsterdam U.
)

- Nucl.Phys.B 307 (1988) 487-511
•
DOI:
- 10.1016/0550-3213(88)90261-1

Duality, phases, spinors and monopoles in SO(N) and spin(N) gauge theories

Matthew J. Strassler
(
- Princeton, Inst. Advanced Study
)

- JHEP 09 (1998) 017
•
e-Print:
- hep-th/9709081
•
DOI:
- 10.1088/1126-6708/1998/09/017

The Phase Structure of SU(N)/Z(N) Lattice Gauge Theories

- Phys.Lett.B 101 (1981) 327,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 467-475. ( Phys. Lett. B101 (1981) 327-331) and London Imp. Coll. - ICTP-80-81-15 (REC.MAR.81) 13p
•
DOI:
- 10.1016/0370-2693(81)90055-1

$Z$ (2) Monopoles in Lattice Gauge Theories

- Phys.Lett.B 102 (1981) 337-340
•
DOI:
- 10.1016/0370-2693(81)90630-4

Color superconductivity, Z(N) flux tubes and monopole confinement in deformed N=2* superYang-Mills theories

Marco A.C. Kneipp
(
- Rio de Janeiro State U. and
- Rio de Janeiro, CBPF
)

- Phys.Rev.D 69 (2004) 045007
•
e-Print:
- hep-th/0308086
•
DOI:
- 10.1103/PhysRevD.69.045007

Electric-Magnetic Duality And The Geometric Langlands Program

- Commun.Num.Theor.Phys. 1 (2007) 1-236
•
e-Print:
- hep-th/0604151
•
DOI:
- 10.4310/CNTP.2007.v1.n1.a1

- Phys.Rev.D 69 0450007

Affine toda solitons and vertex operators

David I. Olive
(
- Swansea U.
)
,
Neil Turok
(
- Princeton U.
)
,
Jonathan W.R. Underwood
(
- Imperial Coll., London
)

- Nucl.Phys.B 409 (1993) 509-546
•
e-Print:
- hep-th/9305160
•
DOI:
- 10.1016/0550-3213(93)90541-V

1-25 of 31
1
2
25 / page