Vacuum mass spectra for SU(N) selfdual Chern-Simons-Higgs systems

Dunne, Gerald V.

doi:10.1016/0550-3213(94)00476-U

Vacuum mass spectra for SU(N) selfdual Chern-Simons-Higgs systems

Gerald V. Dunne
(
- Connecticut U.
)

Aug 12, 1994

19 pages

Published in:

Nucl.Phys.B 433 (1995) 333-350

e-Print:

hep-th/9408061 [hep-th]

DOI:

10.1016/0550-3213(94)00476-U

Report number:

UCONN-94-4

View in:

pdf

reference search25 citations

Citations per year

Abstract:

We study the

SU(N)

self-dual Chern-Simons-Higgs systems with adjoint matter coupling, and show that the sixth order self-dual potential has

p(N)

gauge inequivalent degenerate minima, where

p(N)

is the number of partitions of

N

. We compute the masses of the gauge and scalar excitations in these different vacua, revealing an intricate mass structure which reflects the self-dual nature of the model.

gauge field theory: SU(N)
Higgs model
Chern-Simons term
dimension: 3
duality
vacuum state
mass spectrum
group theory: representation

References(22)

Figures(0)

- Phys.Rev.Lett. 64 2330

Amar and Family reply

Jacques G. Amar
(
- Emory U.
)
,
Fereydoon Family
(
- Emory U.
)

- Phys.Rev.Lett. 64 (1990) 2334-2334
•
DOI:
- 10.1103/PhysRevLett.64.2334

Stability of Classical Solutions

E.B. Bogomolny
(
- Landau Inst.
)

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

Selfdual Chern-Simons solitons

- Phys.Rev.D 42 (1990) 3488-3499
•
DOI:
- 10.1103/PhysRevD.42.3488

Supersymmetry and Selfdual {Chern-Simons} Systems

- Phys.Lett.B 243 (1990) 105-108
•
DOI:
- 10.1016/0370-2693(90)90964-8

Chern-Simons matter systems with manifest N=2 supersymmetry

E.A. Ivanov
(
- Munich, Max Planck Inst.
)

- Phys.Lett.B 268 (1991) 203-208
•
DOI:
- 10.1016/0370-2693(91)90804-Y

Bogomolny explained

- Nucl.Phys.B 397 (1993) 173-194
•
DOI:
- 10.1016/0550-3213(93)90340-U

Selfdual Chern-Simons systems with an N=3 extended supersymmetry

Hsien-Chung Kao
(
- Columbia U.
)
,
Ki-Myeong Lee
(
- Columbia U.
)

- Phys.Rev.D 46 (1992) 4691-4697,
- Phys. Rev. D46 (1992) 4691-4697 and Columbia Univ. New York - CU-TP-564 (92/05,rec.Aug.) 22 p
•
e-Print:
- hep-th/9205115
•
DOI:
- 10.1103/PhysRevD.46.4691

Relativistic nonAbelian selfdual Chern-Simons systems

Ki-Myeong Lee
(
- Columbia U.
)

- Phys.Lett.B 255 (1991) 381-384
•
DOI:
- 10.1016/0370-2693(91)90782-L

Selfdual nonabelian Chern-Simons solitons

Ki-Myeong Lee
(
- Columbia U.
)

- Phys.Rev.Lett. 66 (1991) 553-555
•
DOI:
- 10.1103/PhysRevLett.66.553

Relativistic selfdual Chern-Simons vortices with adjoint coupling

Gerald V. Dunne
(
- Connecticut U.
)

- Phys.Lett.B 324 (1994) 359-365
•
DOI:
- 10.1016/0370-2693(94)90206-2

Selfdual SU(3) Chern-Simons Higgs systems

Hsien-Chung Kao
(
- Columbia U.
)
,
Ki-Myeong Lee
(
- Columbia U.
)

- Phys.Rev.D 50 (1994) 6626-6632
•
e-Print:
- hep-th/9406049
•
DOI:
- 10.1103/PhysRevD.50.6626

- Mod.Phys.Lett.A 3 2123

Hierarchy of soliton solutions to the gauged nonlinear Schrodinger equation on the plane

Bernard Grossman
(
- Princeton, Inst. Advanced Study and
- LLNL, Livermore
)

- Phys.Rev.Lett. 65 (1990) 3230-3232
•
DOI:
- 10.1103/PhysRevLett.65.3230

Selfdual Chern-Simons solitons and two-dimensional nonlinear equations

- Phys.Rev.D 43 (1991) 1332,
- Phys.Rev.D 45 (1992) 3012 (erratum)
•
DOI:
- 10.1103/PhysRevD.43.1332

Chern-Simons solitons, toda theories and the chiral model

Gerald V. Dunne
(
- MIT and
- MIT, LNS
)

- Commun.Math.Phys. 150 (1992) 519-535,
- Commun. Math. Phys. 150 (1992) 519-535 and MIT Cambridge - CTP-2079 (92/03,rec.May) 19 p
•
e-Print:
- hep-th/9204056
•
DOI:
- 10.1007/BF02096959

- Am.Math.Soc.Transl. 6 245

- Am.J.Math. 81 973

Representation Theory and Integration of Nonlinear Spherically Symmetric Equations to Gauge Theories

A.N. Leznov
(
- Serpukhov, IHEP
)
,
M.V. Saveliev
(
- Serpukhov, IHEP
)

- Commun.Math.Phys. 74 (1980) 111-118,
- In * Zvenigorod 1979, Proceedings, Group Theoretical Methods In Physics, Vol. 2*, 308-316
•
DOI:
- 10.1007/BF01197753

Selfdual Monopoles and Toda Molecules

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

- Nucl.Phys.B 205 (1982) 601-636
•
DOI:
- 10.1016/0550-3213(82)90080-3

Symmetry breaking in the Schrodinger representation for Chern-Simons theories

Gerald V. Dunne
(
- Connecticut U.
)

- Phys.Rev.D 50 (1994) 5321-5328
•
e-Print:
- hep-th/9406086
•
DOI:
- 10.1103/PhysRevD.50.5321

Integrability of Chern-Simons Higgs and Abelian Higgs vortex equations in a background metric

Jeremy Schiff
(
- Columbia U.
)

- J.Math.Phys. 32 (1991) 753-761
•
DOI:
- 10.1063/1.529367