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Supersymmetric nonlinear sigma models as gauge theories

Kiyoshi Higashijima
(
- Osaka U.
)
,
Muneto Nitta
(
- Osaka U.
)

Nov, 1999

39 pages

Published in:

Prog.Theor.Phys. 103 (2000) 635-663

e-Print:

hep-th/9911139 [hep-th]

DOI:

10.1143/PTP.103.635

Report number:

OU-HET-332

View in:

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Abstract:

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending on the target manifolds. Auxiliary vector superfields appear as gauge fields without kinetic terms. If there are no D-term constraints, the target manifolds are always non-compact manifolds. When all the degrees of freedom in these non-compact directions are eliminated by gauge symmetries, the target manifold becomes compact. All supersymmetric nonlinear sigma models, whose target manifolds are the hermitian symmetric spaces, are successfully formulated as gauge theories.

sigma model: nonlinear
supersymmetry: constraint
dimension: 2
coset space
gauge field theory
algebra: Lie

References(41)

Figures(0)

Structure of phenomenological Lagrangians. 1.

- Phys.Rev. 177 (1969) 2239-2247
•
DOI:
- 10.1103/PhysRev.177.2239

Structure of phenomenological Lagrangians. 2.

Curtis G. Callan, Jr.
(
- Harvard U.
)
,
Sidney R. Coleman
(
- Harvard U.
)
,
J. Wess
(
- New York U.
)
,
Bruno Zumino
(
- New York U.
)

- Phys.Rev. 177 (1969) 2247-2250
•
DOI:
- 10.1103/PhysRev.177.2247

Quarks and Leptons as Quasi Nambu-Goldstone Fermions

- Phys.Lett.B 124 (1983) 67,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 629-635. (PHYS. LETT. B124 (1983) 67-73) AND MUENCHEN MPI PHYS. ASTROPHYS. - MPI-PAE-PTH 82-80 (82,REC.DEC.) 15 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(83)91405-3

Quasi Nambu-Goldstone Fermions

- Nucl.Phys.B 227 (1983) 503,
- Tokyo INS Seminar 1983:77
•
DOI:
- 10.1016/0550-3213(83)90572-2

Supersymmetry and Kahler Manifolds

B. Zumino
(
- CERN
)

- Phys.Lett.B 87 (1979) 203,
- IN *FERRARA, S. (ED.): SUPERSYMMETRY, VOL. 1*, 206-209. (PHYS. LETT. B87 (1979) 203-206) AND CERN GENEVA - TH. 2733 (79,REC.SEP.) 10 P. CERN GENEVA - TH. 2733(ADD.) (79,REC.SEP.) 2 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(79)90964-X

Geometrical Structure and Ultraviolet Finiteness in the Supersymmetric Sigma Model

Luis Alvarez-Gaume
(
- MIT and
- SUNY, Stony Brook
)
,
Daniel Z. Freedman
(
- MIT and
- SUNY, Stony Brook
)

- Commun.Math.Phys. 80 (1981) 443
•
DOI:
- 10.1007/BF01208280

Superpotential Symmetries and Pseudonambu-goldstone Supermultiplets

T. Kugo
(
- Munich, Max Planck Inst.
)
,
I. Ojima
(
- Munich, Max Planck Inst.
)
,
T. Yanagida
(
- Tohoku U.
)

- Phys.Lett.B 135 (1984) 402-408
•
DOI:
- 10.1016/0370-2693(84)90303-4

Structure of Nonlinear Realization in Supersymmetric Theories

M. Bando
(
- Kyoto U.
)
,
T. Kuramoto
(
- Kyoto U.
)
,
T. Maskawa
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
S. Uehara
(
- Kyoto U.
)

- Phys.Lett.B 138 (1984) 94,
- Phys. Lett. B139 (1984) 465. ( Phys. Lett. B138 (1984) 94)
•
DOI:
- 10.1016/0370-2693(84)91880-X

Nonlinear Realization in Supersymmetric Theories

M. Bando
(
- Kyoto U.
)
,
T. Kuramoto
(
- Kyoto U.
)
,
T. Maskawa
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
S. Uehara
(
- Kyoto U.
)

- Prog.Theor.Phys. 72 (1984) 313
•
DOI:
- 10.1143/PTP.72.313

Nonlinear Realization in Supersymmetric Theories. 2.

M. Bando
(
- Kyoto U.
)
,
T. Kuramoto
(
- Kyoto U.
)
,
T. Maskawa
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
S. Uehara
(
- Kyoto U.
)

- Prog.Theor.Phys. 72 (1984) 1207
•
DOI:
- 10.1143/PTP.72.1207

On Goldstone Fields in Supersymmetric Theories

W. Lerche
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 238 (1984) 582-600
•
DOI:
- 10.1016/0550-3213(84)90336-5

Supersymmetric Higgs Mechanism With Nondoubled Goldstone Bosons

Graham M. Shore
(
- Imperial Coll., London
)

- Nucl.Phys.B 248 (1984) 123-140
•
DOI:
- 10.1016/0550-3213(84)90590-X

Geometry and Anomaly Structure of Supersymmetric $\sigma$ Models

W. Buchmuller
(
- CERN
)
,
W. Lerche
(
- CERN
)

- Annals Phys. 175 (1987) 159
•
DOI:
- 10.1016/0003-4916(87)90059-5

Kahler $\sigma$ Models From Supersymmetric Gauge Theories

- Int.J.Mod.Phys.A 4 (1989) 4391
•
DOI:
- 10.1142/S0217751X89001849

Geometry of Supersymmetric $\sigma$ Models

G.M. Shore
(
- Imperial Coll., London
)

- Nucl.Phys.B 320 (1989) 202-220
•
DOI:
- 10.1016/0550-3213(89)90217-4

Geometry of Supersymmetric $\sigma$ Models. 2. Fermions, Connections and Currents

G.M. Shore
(
- Geneva U.
)

- Nucl.Phys.B 334 (1990) 172-198
•
DOI:
- 10.1016/0550-3213(90)90660-6

Low-energy theorems in N=1 supersymmetric theory

Kiyoshi Higashijima
(
- Osaka U.
)
,
Muneto Nitta
(
- Osaka U. and
- KEK, Tsukuba
)
,
Kazutoshi Ohta
(
- Osaka U.
)
,
Nobuyoshi Ohta
(
- Osaka U.
)

- Prog.Theor.Phys. 98 (1997) 1165-1178
•
e-Print:
- hep-th/9706219
•
DOI:
- 10.1143/PTP.98.1165

Moduli space of global symmetry in N=1 supersymmetric theories and the quasiNambu-Goldstone bosons

Muneto Nitta
(
- Osaka U. and
- KEK, Tsukuba
)

- Int.J.Mod.Phys.A 14 (1999) 2397-2430
•
e-Print:
- hep-th/9805038
•
DOI:
- 10.1142/S0217751X99001202

Kahler potential for global symmetry breaking in supersymmetric theories

Muneto Nitta
(
- Osaka U. and
- KEK, Tsukuba
)

e-Print:
- hep-th/9903174

Supersymmetric Nonlinear Realization for Arbitrary Kahlerian Coset Space $G/H$

- Nucl.Phys.B 263 (1986) 295-308
•
DOI:
- 10.1016/0550-3213(86)90118-5

The Supersymmetric U( $N$ ,r) $\sigma$ Model and Its 0(2) Extended Supersymmetry

Shogo Aoyama
(
- Padua U. and
- INFN, Padua
)

- Nuovo Cim.A 57 (1980) 176
•
DOI:
- 10.1007/BF02776450

Classical and Quantum Structure of the Compact Kahlerian $\sigma$ Models

Francois Delduc
(
- Paris U., VI-VII
)
,
Galliano Valent
(
- Paris U., VI-VII
)

- Nucl.Phys.B 253 (1985) 494-516
•
DOI:
- 10.1016/0550-3213(85)90544-9

The Nonlinear Supersymmetric $\sigma$ Model on E6 / SO(10) X U(1)

- Phys.Lett.B 141 (1984) 64,
- Phys. Lett. B141 (1984) 64-68 and Preprint - ACHIMAN, Y. (REC.MAR.84) 12p
•
DOI:
- 10.1016/0370-2693(84)90560-4

Gauged supersymmetric σ models and E6/SO(10)×U(1)

- Nucl.Phys.B 258 (1985) 179-214,
- Nucl.Phys.B 258 (1985) 179-214
•
DOI:
- 10.1016/0550-3213(85)90608-X

Matter coupling and anomaly cancellation in supersymmetric sigma models

- Phys.Lett.B 442 (1998) 185-191
•
e-Print:
- hep-th/9808147
•
DOI:
- 10.1016/S0370-2693(98)01213-1

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