NonAbelian monopoles and the vortices that confine them - INSPIRE

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NonAbelian monopoles and the vortices that confine them

Roberto Auzzi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Stefano Bolognesi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Jarah Evslin
(
- INFN, Pisa and
- Pisa U.
)
,
Kenichi Konishi
(
- Pisa U. and
- INFN, Pisa
)

Dec, 2003

20 pages

Published in:

Nucl.Phys.B 686 (2004) 119-134

e-Print:

hep-th/0312233 [hep-th]

DOI:

10.1016/j.nuclphysb.2004.03.003

Report number:

IFUP-TH-2003-50

View in:

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Abstract:

Nonabelian magnetic monopoles of Goddard-Nuyts-Olive-Weinberg type have recently been shown to appear as the dominant infrared degrees of freedom in a class of softly broken

{\cal N}=2

supersymmetric gauge theories in which the gauge group

G

is broken to various nonabelian subgroups

H

by an adjoint Higgs VEV. When the low-energy gauge group

H

is further broken completely by e.g. squark VEVs, the monopoles representing

\pi_2(G/H)

are confined by the nonabelian vortices arising from the breaking of

H

, discussed recently (hep-th/0307278). By considering the system with

G=SU(N+1)

, H = {SU(N) \times U(1) {\o}{\mathbb Z}_N}, as an example, we show that the total magnetic flux of the minimal monopole agrees precisely with the total magnetic flux flowing along the single minimal vortex. The possibility for such an analysis reflects the presence of free parameters in the theory - the bare quark mass

m

and the adjoint mass

\mu

- such that for

m \gg \mu

the topologically nontrivial solutions of vortices and of unconfined monopoles exist at distinct energy scales.

gauge field theory: Yang-Mills
Higgs model
supersymmetry: symmetry breaking
monopole: nonabelian
vortex
flux
monopole: confinement

References(41)

Figures(0)

Geometric definition of gauge invariance

Elihu Lubkin
(
- Brown U.
)

- Annals Phys. 23 (1963) 233
•
DOI:
- 10.1016/0003-4916(63)90194-5

Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields

Tai Tsun Wu
(
- Harvard U.
)
,
Chen Ning Yang
(
- SUNY, Stony Brook
)

- Phys.Rev.D 12 (1975) 3845-3857,
- Also in *Yang, C.N.: Selected Papers 1945-1980*, 460-472,
•
DOI:
- 10.1103/PhysRevD.12.3845

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

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

Monopole Charges in Unified Gauge Theories

Hong-Mo Chan
(
- CERN
)
,
Sheung Tsun Tsou
(
- CERN
)

- Nucl.Phys.B 189 (1981) 364-380
•
DOI:
- 10.1016/0550-3213(81)90386-2

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

Massive and massless monopoles with nonAbelian magnetic charges

- Phys.Rev.D 54 (1996) 6351-6371
•
e-Print:
- hep-th/9605229
•
DOI:
- 10.1103/PhysRevD.54.6351

ARE THERE CHROMODYONS?

Ahmed Abouelsaood
(
- Harvard U.
)

- Nucl.Phys.B 226 (1983) 309-338
•
DOI:
- 10.1016/0550-3213(83)90195-5

Global Color Is Not Always Defined

Philip C. Nelson
(
- Harvard U.
)
,
Aneesh Manohar
(
- Harvard U.
)

- Phys.Rev.Lett. 50 (1983) 943
•
DOI:
- 10.1103/PhysRevLett.50.943

Monopole Topology and the Problem of Color

A.P. Balachandran
(
- Texas U. and
- Syracuse U. and
- Naples U. and
- INFN, Naples and
- Bangalore, Indian Inst. Sci. and
- Goteborg, ITP
)
,
G. Marmo
(
- Texas U. and
- Syracuse U. and
- Naples U. and
- INFN, Naples and
- Bangalore, Indian Inst. Sci. and
- Goteborg, ITP
)
,
N. Mukunda
(
- Texas U. and
- Syracuse U. and
- Naples U. and
- INFN, Naples and
- Bangalore, Indian Inst. Sci. and
- Goteborg, ITP
)
,
J.S. Nilsson
(
- Texas U. and
- Syracuse U. and
- Naples U. and
- INFN, Naples and
- Bangalore, Indian Inst. Sci. and
- Goteborg, ITP
)
,
E.C.G. Sudarshan
(
- Texas U. and
- Syracuse U. and
- Naples U. and
- INFN, Naples and
- Bangalore, Indian Inst. Sci. and
- Goteborg, ITP
)

et al.

- Phys.Rev.Lett. 50 (1983) 1553
•
DOI:
- 10.1103/PhysRevLett.50.1553

Electroweak Radiative Corrections for e+ e- ---> mu+ mu- at LEP Energies

Werner Wetzel
(
- Heidelberg U.
)

- Nucl.Phys.B 227 (1983) 1-30
•
DOI:
- 10.1016/0550-3213(83)90139-6

SU(N) monopoles and platonic symmetry

Conor J. Houghton
(
- Cambridge U.
)
,
Paul M. Sutcliffe
(
- Kent U.
)

- J.Math.Phys. 38 (1997) 5576-5589
•
e-Print:
- hep-th/9708006
•
DOI:
- 10.1063/1.532152

Electric - magnetic duality in supersymmetric nonAbelian gauge theories

N. Seiberg
(
- Rutgers U., Piscataway and
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 435 (1995) 129-146
•
e-Print:
- hep-th/9411149
•
DOI:
- 10.1016/0550-3213(94)00023-8

Chiral rings, singularity theory and electric - magnetic duality

D. Kutasov
(
- Chicago U., EFI and
- Chicago U.
)
,
A. Schwimmer
(
- Weizmann Inst.
)
,
N. Seiberg
(
- Rutgers U., Piscataway
)

- Nucl.Phys.B 459 (1996) 455-496
•
e-Print:
- hep-th/9510222
•
DOI:
- 10.1016/0550-3213(95)00599-4

The Moduli space of vacua of N=2 SUSY QCD and duality in N=1 SUSY QCD

- Nucl.Phys.B 471 (1996) 159-194
•
e-Print:
- hep-th/9603042
•
DOI:
- 10.1016/0550-3213(96)00210-6

N=2 moduli spaces and N=1 dualities for SO(n(c)) and USp(2n(c)) superQCD

Philip C. Argyres
(
- Rutgers U., Piscataway
)
,
M.Ronen Plesser
(
- Weizmann Inst.
)
,
Alfred D. Shapere
(
- Kentucky U.
)

- Nucl.Phys.B 483 (1997) 172-186
•
e-Print:
- hep-th/9608129
•
DOI:
- 10.1016/S0550-3213(96)00583-4

Dynamics of supersymmetric SU(n(c)) and USp(2n(c)) gauge theories

Giuseppe Carlino
(
- Genoa U. and
- INFN, Genoa and
- Swansea U.
)
,
Kenichi Konishi
(
- Pisa U. and
- INFN, Pisa and
- Washington U., Seattle
)
,
Hitoshi Murayama
(
- UC, Berkeley and
- LBL, Berkeley
)

- JHEP 02 (2000) 004
•
e-Print:
- hep-th/0001036
•
DOI:
- 10.1088/1126-6708/2000/02/004

Dynamical symmetry breaking in supersymmetric SU(n(c)) and USp(2n(c)) gauge theories

Giuseppe Carlino
(
- Swansea U.
)
,
Kenichi Konishi
(
- Pisa U. and
- INFN, Pisa and
- Washington U., Seattle
)
,
Hitoshi Murayama
(
- UC, Berkeley and
- LBL, Berkeley
)

- Nucl.Phys.B 590 (2000) 37-122
•
e-Print:
- hep-th/0005076
•
DOI:
- 10.1016/S0550-3213(00)00482-X

Vacuum structure and flavor symmetry breaking in supersymmetric SO(n(c)) gauge theories

Giuseppe Carlino
(
- Swansea U.
)
,
Kenichi Konishi
(
- Pisa U. and
- INFN, Pisa
)
,
S.Prem Kumar
(
- Swansea U.
)
,
Hitoshi Murayama
(
- UC, Berkeley and
- LBL, Berkeley
)

- Nucl.Phys.B 608 (2001) 51-102
•
e-Print:
- hep-th/0104064
•
DOI:
- 10.1016/S0550-3213(01)00253-X

NonAbelian magnetic monopoles and dynamics of confinement

Stefano Bolognesi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Kenichi Konishi
(
- Pisa U. and
- INFN, Pisa
)

- Nucl.Phys.B 645 (2002) 337-348
•
e-Print:
- hep-th/0207161
•
DOI:
- 10.1016/S0550-3213(02)00796-4

NonAbelian superconductors: Vortices and confinement in N=2 SQCD

Roberto Auzzi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Stefano Bolognesi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Jarah Evslin
(
- INFN, Pisa and
- Pisa U.
)
,
Kenichi Konishi
(
- Pisa U. and
- INFN, Pisa and
- Tokyo Inst. Tech.
)
,
Alexei Yung
(
- St. Petersburg, INP and
- INFN, Pisa and
- Moscow, ITEP
)

- Nucl.Phys.B 673 (2003) 187-216
•
e-Print:
- hep-th/0307287
•
DOI:
- 10.1016/j.nuclphysb.2003.09.029

Vortices, instantons and branes

Amihay Hanany
(
- MIT, LNS
)
,
David Tong
(
- MIT, LNS
)

- JHEP 07 (2003) 037
•
e-Print:
- hep-th/0306150
•
DOI:
- 10.1088/1126-6708/2003/07/037

Monopoles in the higgs phase

David Tong
(
- MIT, LNS
)

- Phys.Rev.D 69 (2004) 065003
•
e-Print:
- hep-th/0307302
•
DOI:
- 10.1103/PhysRevD.69.065003

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

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