메뉴 건너뛰기




Volumn 806, Issue 1-2, 2009, Pages 386-435

Magnetic charge lattices, moduli spaces and fusion rules

Author keywords

Dual gauge group; Generating charges; Multi monopole solutions; Non abelian monopoles; Parameter counting; Stratified moduli spaces

Indexed keywords


EID: 52749099830     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.08.003     Document Type: Article
Times cited : (4)

References (70)
  • 1
    • 0000520062 scopus 로고
    • Quantization condition for 't Hooft monopoles in compact simple Lie groups
    • Englert F., and Windey P. Quantization condition for 't Hooft monopoles in compact simple Lie groups. Phys. Rev. D 14 (1976) 2728
    • (1976) Phys. Rev. D , vol.14 , pp. 2728
    • Englert, F.1    Windey, P.2
  • 3
    • 0000640079 scopus 로고
    • Stability of classical solutions
    • Bogomolny E.B. Stability of classical solutions. Sov. J. Nucl. Phys. 24 (1976) 449
    • (1976) Sov. J. Nucl. Phys. , vol.24 , pp. 449
    • Bogomolny, E.B.1
  • 4
    • 33646026905 scopus 로고
    • An exact classical solution for the 't Hooft monopole and the Julia-Zee dyon
    • Prasad M.K., and Sommerfield C.M. An exact classical solution for the 't Hooft monopole and the Julia-Zee dyon. Phys. Rev. Lett. 35 (1975) 760-762
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 760-762
    • Prasad, M.K.1    Sommerfield, C.M.2
  • 5
    • 49449124108 scopus 로고
    • Magnetic monopoles as gauge particles?
    • Montonen C., and Olive D.I. Magnetic monopoles as gauge particles?. Phys. Lett. B 72 (1977) 117
    • (1977) Phys. Lett. B , vol.72 , pp. 117
    • Montonen, C.1    Olive, D.I.2
  • 6
    • 0346667548 scopus 로고
    • Magnetic monopoles in unified gauge theories
    • 't Hooft G. Magnetic monopoles in unified gauge theories. Nucl. Phys. B 79 (1974) 276-284
    • (1974) Nucl. Phys. B , vol.79 , pp. 276-284
    • 't Hooft, G.1
  • 7
    • 0001102953 scopus 로고
    • Particle spectrum in quantum field theory
    • Polyakov A.M. Particle spectrum in quantum field theory. JETP Lett. 20 (1974) 194-195
    • (1974) JETP Lett. , vol.20 , pp. 194-195
    • Polyakov, A.M.1
  • 8
    • 0000722205 scopus 로고
    • Parameter counting for multi-monopole solutions
    • Weinberg E.J. Parameter counting for multi-monopole solutions. Phys. Rev. D 20 (1979) 936-944
    • (1979) Phys. Rev. D , vol.20 , pp. 936-944
    • Weinberg, E.J.1
  • 9
    • 0000904071 scopus 로고
    • Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1
    • Osborn H. Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1. Phys. Lett. B 83 (1979) 321
    • (1979) Phys. Lett. B , vol.83 , pp. 321
    • Osborn, H.1
  • 10
    • 13644276850 scopus 로고
    • Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory
    • Seiberg N., and Witten E. Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory. Nucl. Phys. B 426 (1994) 19-52
    • (1994) Nucl. Phys. B , vol.426 , pp. 19-52
    • Seiberg, N.1    Witten, E.2
  • 11
    • 0043290689 scopus 로고
    • Simple singularities and N = 2 supersymmetric Yang-Mills theory
    • Klemm A., Lerche W., Yankielowicz S., and Theisen S. Simple singularities and N = 2 supersymmetric Yang-Mills theory. Phys. Lett. B 344 (1995) 169-175
    • (1995) Phys. Lett. B , vol.344 , pp. 169-175
    • Klemm, A.1    Lerche, W.2    Yankielowicz, S.3    Theisen, S.4
  • 12
    • 4243445460 scopus 로고
    • The vacuum structure and spectrum of N = 2 supersymmetric SU (n) gauge theory
    • Argyres P.C., and Faraggi A.E. The vacuum structure and spectrum of N = 2 supersymmetric SU (n) gauge theory. Phys. Rev. Lett. 74 (1995) 3931-3934
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 3931-3934
    • Argyres, P.C.1    Faraggi, A.E.2
  • 13
    • 33646056648 scopus 로고
    • Supersymmetry and nonperturbative beta functions
    • Seiberg N. Supersymmetry and nonperturbative beta functions. Phys. Lett. B 206 (1988) 75
    • (1988) Phys. Lett. B , vol.206 , pp. 75
    • Seiberg, N.1
  • 14
    • 0037010626 scopus 로고    scopus 로고
    • Non-abelian magnetic monopoles and dynamics of confinement
    • Bolognesi S., and Konishi K. Non-abelian magnetic monopoles and dynamics of confinement. Nucl. Phys. B 645 (2002) 337-348
    • (2002) Nucl. Phys. B , vol.645 , pp. 337-348
    • Bolognesi, S.1    Konishi, K.2
  • 15
    • 0037430319 scopus 로고    scopus 로고
    • Almost conformal vacua and confinement
    • Auzzi R., Grena R., and Konishi K. Almost conformal vacua and confinement. Nucl. Phys. B 653 (2003) 204-226
    • (2003) Nucl. Phys. B , vol.653 , pp. 204-226
    • Auzzi, R.1    Grena, R.2    Konishi, K.3
  • 16
    • 47249119884 scopus 로고    scopus 로고
    • Electric-magnetic duality and the geometric Langlands program
    • hep-th/0604151
    • Kapustin A., and Witten E. Electric-magnetic duality and the geometric Langlands program. Commun. Number. Theor. Phys. 1 1 (2007) 1-236. hep-th/0604151
    • (2007) Commun. Number. Theor. Phys. , vol.1 , Issue.1 , pp. 1-236
    • Kapustin, A.1    Witten, E.2
  • 17
    • 4243439048 scopus 로고
    • Dyon-monopole bound states, selfdual harmonic forms on the multi-monopole moduli space, and SL (2, z) invariance in string theory
    • Sen A. Dyon-monopole bound states, selfdual harmonic forms on the multi-monopole moduli space, and SL (2, z) invariance in string theory. Phys. Lett. B 329 (1994) 217-221
    • (1994) Phys. Lett. B , vol.329 , pp. 217-221
    • Sen, A.1
  • 18
    • 0001859543 scopus 로고
    • A strong coupling test of S-duality
    • Vafa C., and Witten E. A strong coupling test of S-duality. Nucl. Phys. B 431 (1994) 3-77
    • (1994) Nucl. Phys. B , vol.431 , pp. 3-77
    • Vafa, C.1    Witten, E.2
  • 20
    • 38549144461 scopus 로고
    • Fundamental monopoles and multi-monopole solutions for arbitrary simple gauge groups
    • Weinberg E.J. Fundamental monopoles and multi-monopole solutions for arbitrary simple gauge groups. Nucl. Phys. B 167 (1980) 500
    • (1980) Nucl. Phys. B , vol.167 , pp. 500
    • Weinberg, E.J.1
  • 21
    • 20144385092 scopus 로고
    • Concept of non-integrable phase factors and global formulation of gauge fields
    • Wu T.T., and Yang C.N. Concept of non-integrable phase factors and global formulation of gauge fields. Phys. Rev. D 12 (1975) 3845-3857
    • (1975) Phys. Rev. D , vol.12 , pp. 3845-3857
    • Wu, T.T.1    Yang, C.N.2
  • 22
    • 36149046360 scopus 로고
    • Magnetic monopoles in gauge field theories
    • Goddard P., and Olive D.I. Magnetic monopoles in gauge field theories. Rep. Prog. Phys. 41 (1978) 1357-1437
    • (1978) Rep. Prog. Phys. , vol.41 , pp. 1357-1437
    • Goddard, P.1    Olive, D.I.2
  • 23
    • 0002377604 scopus 로고    scopus 로고
    • Euclidean monopoles and rational maps
    • Jarvis S. Euclidean monopoles and rational maps. Proc. London Math. Soc. (3) 77 1 (1998) 170-192
    • (1998) Proc. London Math. Soc. (3) , vol.77 , Issue.1 , pp. 170-192
    • Jarvis, S.1
  • 24
    • 0042229075 scopus 로고    scopus 로고
    • A note on monopole moduli spaces
    • Murray M.K., and Singer M.A. A note on monopole moduli spaces. J. Math. Phys. 44 (2003) 3517-3531
    • (2003) J. Math. Phys. , vol.44 , pp. 3517-3531
    • Murray, M.K.1    Singer, M.A.2
  • 25
    • 0003222848 scopus 로고
    • Vortices and Monopoles: Structure of Static Gauge Theories
    • Birkhäuser, Boston, MA
    • Jaffe A., and Taubes C. Vortices and Monopoles: Structure of Static Gauge Theories. Prog. Phys. vol. 2 (1980), Birkhäuser, Boston, MA
    • (1980) Prog. Phys. , vol.2
    • Jaffe, A.1    Taubes, C.2
  • 26
    • 0001492323 scopus 로고
    • Stratifying monopoles and rational maps
    • Murray M. Stratifying monopoles and rational maps. Commun. Math. Phys. 125 (1989) 661-674
    • (1989) Commun. Math. Phys. , vol.125 , pp. 661-674
    • Murray, M.1
  • 28
    • 33745748891 scopus 로고    scopus 로고
    • Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality
    • Kapustin A. Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality. Phys. Rev. D 74 (2006) 025005
    • (2006) Phys. Rev. D , vol.74 , pp. 025005
    • Kapustin, A.1
  • 29
    • 0039815560 scopus 로고
    • Induced and subduced representations
    • Loebl E.M. (Ed), Academic Press, New York
    • Coleman A.J. Induced and subduced representations. In: Loebl E.M. (Ed). Group Theory and Its Applications (1968), Academic Press, New York
    • (1968) Group Theory and Its Applications
    • Coleman, A.J.1
  • 30
    • 52749091961 scopus 로고
    • Representation Theory, a First Course, Readings in Mathematics
    • Springer-Verlag, New York
    • Fulton W., and Harris J. Representation Theory, a First Course, Readings in Mathematics. Grad. Texts in Math. vol. 129 (1991), Springer-Verlag, New York
    • (1991) Grad. Texts in Math. , vol.129
    • Fulton, W.1    Harris, J.2
  • 32
    • 0000724453 scopus 로고
    • Charge-monopole duality in spontaneously broken gauge theories
    • Bais F.A. Charge-monopole duality in spontaneously broken gauge theories. Phys. Rev. D 18 (1978) 1206
    • (1978) Phys. Rev. D , vol.18 , pp. 1206
    • Bais, F.A.1
  • 33
    • 0010023740 scopus 로고
    • The existence of multi-monopole solutions to the nonabelian, Yang-Mills Higgs equations for arbitrary simple gauge groups
    • Taubes C.H. The existence of multi-monopole solutions to the nonabelian, Yang-Mills Higgs equations for arbitrary simple gauge groups. Commun. Math. Phys. 80 (1981) 343
    • (1981) Commun. Math. Phys. , vol.80 , pp. 343
    • Taubes, C.H.1
  • 34
    • 0001190373 scopus 로고
    • The force between 't Hooft-Polyakov monopoles
    • Manton N.S. The force between 't Hooft-Polyakov monopoles. Nucl. Phys. B 126 (1977) 525
    • (1977) Nucl. Phys. B , vol.126 , pp. 525
    • Manton, N.S.1
  • 35
    • 25044457617 scopus 로고
    • Monopole interactions at long range
    • Manton N.S. Monopole interactions at long range. Phys. Lett. B 154 (1985) 397
    • (1985) Phys. Lett. B , vol.154 , pp. 397
    • Manton, N.S.1
  • 36
    • 0002216931 scopus 로고
    • The moduli space metric for well separated BPS monopoles
    • Gibbons G.W., and Manton N.S. The moduli space metric for well separated BPS monopoles. Phys. Lett. B 356 (1995) 32-38
    • (1995) Phys. Lett. B , vol.356 , pp. 32-38
    • Gibbons, G.W.1    Manton, N.S.2
  • 37
    • 0032098459 scopus 로고    scopus 로고
    • Monopoles and the Gibbons-Manton metric
    • Bielawski R. Monopoles and the Gibbons-Manton metric. Commun. Math. Phys. 194 (1998) 297-321
    • (1998) Commun. Math. Phys. , vol.194 , pp. 297-321
    • Bielawski, R.1
  • 38
    • 0032476962 scopus 로고    scopus 로고
    • Asymptotic metrics for SU (N)-monopoles with maximal symmetry breaking
    • Bielawski R. Asymptotic metrics for SU (N)-monopoles with maximal symmetry breaking. Commun. Math. Phys. 199 (1998) 297-325
    • (1998) Commun. Math. Phys. , vol.199 , pp. 297-325
    • Bielawski, R.1
  • 39
    • 0346301903 scopus 로고    scopus 로고
    • Dynamics of BPS dyons: Effective field theory approach
    • Bak D., Lee C., and Lee K. Dynamics of BPS dyons: Effective field theory approach. Phys. Rev. D 57 (1998) 5239-5259
    • (1998) Phys. Rev. D , vol.57 , pp. 5239-5259
    • Bak, D.1    Lee, C.2    Lee, K.3
  • 40
    • 0001735296 scopus 로고    scopus 로고
    • The moduli space of many BPS monopoles for arbitrary gauge groups
    • Lee K., Weinberg E.J., and Yi P. The moduli space of many BPS monopoles for arbitrary gauge groups. Phys. Rev. D 54 (1996) 1633-1643
    • (1996) Phys. Rev. D , vol.54 , pp. 1633-1643
    • Lee, K.1    Weinberg, E.J.2    Yi, P.3
  • 41
    • 0001017180 scopus 로고
    • Nahm's equations and the classification of monopoles
    • Donaldson S.K. Nahm's equations and the classification of monopoles. Commun. Math. Phys. 96 (1984) 387-407
    • (1984) Commun. Math. Phys. , vol.96 , pp. 387-407
    • Donaldson, S.K.1
  • 42
    • 33744733707 scopus 로고
    • On the construction of monopoles for the classical groups
    • Hurtubise J., and Murray M.K. On the construction of monopoles for the classical groups. Commun. Math. Phys. 122 (1989) 35-89
    • (1989) Commun. Math. Phys. , vol.122 , pp. 35-89
    • Hurtubise, J.1    Murray, M.K.2
  • 43
    • 0002681464 scopus 로고
    • The classification of monopoles for the classical groups
    • Hurtubise J. The classification of monopoles for the classical groups. Commun. Math. Phys. 120 (1989) 613-641
    • (1989) Commun. Math. Phys. , vol.120 , pp. 613-641
    • Hurtubise, J.1
  • 44
    • 0011266504 scopus 로고
    • Monopoles and their spectral data
    • Hurtubise J., and Murray M.K. Monopoles and their spectral data. Commun. Math. Phys. 133 (1990) 487-508
    • (1990) Commun. Math. Phys. , vol.133 , pp. 487-508
    • Hurtubise, J.1    Murray, M.K.2
  • 45
    • 0042065845 scopus 로고    scopus 로고
    • Construction of Euclidean monopoles
    • Jarvis S. Construction of Euclidean monopoles. Proc. London Math. Soc. (3) 77 1 (1998) 193-214
    • (1998) Proc. London Math. Soc. (3) , vol.77 , Issue.1 , pp. 193-214
    • Jarvis, S.1
  • 46
    • 0001395688 scopus 로고
    • Chromodyons and equivariant gauge transformations
    • Abouelsaood A. Chromodyons and equivariant gauge transformations. Phys. Lett. B 125 (1983) 467
    • (1983) Phys. Lett. B , vol.125 , pp. 467
    • Abouelsaood, A.1
  • 47
    • 4243360389 scopus 로고
    • Nonabelian monopoles break color. 2. Field theory and quantum mechanics
    • Balachandran A.P., et al. Nonabelian monopoles break color. 2. Field theory and quantum mechanics. Phys. Rev. D 29 (1984) 2936
    • (1984) Phys. Rev. D , vol.29 , pp. 2936
    • Balachandran, A.P.1
  • 48
    • 0001609212 scopus 로고
    • Global color is not always defined
    • Nelson P.C., and Manohar A. Global color is not always defined. Phys. Rev. Lett. 50 (1983) 943
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 943
    • Nelson, P.C.1    Manohar, A.2
  • 49
    • 4243874551 scopus 로고
    • Internal symmetries of nonabelian gauge field configurations
    • Horvathy P.A., and Rawnsley J.H. Internal symmetries of nonabelian gauge field configurations. Phys. Rev. D 32 (1985) 968
    • (1985) Phys. Rev. D , vol.32 , pp. 968
    • Horvathy, P.A.1    Rawnsley, J.H.2
  • 50
    • 0010133798 scopus 로고
    • The problem of 'global color' in gauge theories
    • Horvathy P.A., and Rawnsley J.H. The problem of 'global color' in gauge theories. J. Math. Phys. 27 (1986) 982
    • (1986) J. Math. Phys. , vol.27 , pp. 982
    • Horvathy, P.A.1    Rawnsley, J.H.2
  • 51
    • 0000266934 scopus 로고
    • Are there chromodyons?
    • Abouelsaood A. Are there chromodyons?. Nucl. Phys. B 226 (1983) 309
    • (1983) Nucl. Phys. B , vol.226 , pp. 309
    • Abouelsaood, A.1
  • 52
    • 0000764656 scopus 로고
    • Fundamental monopoles in theories with arbitrary symmetry breaking
    • Weinberg E.J. Fundamental monopoles in theories with arbitrary symmetry breaking. Nucl. Phys. B 203 (1982) 445
    • (1982) Nucl. Phys. B , vol.203 , pp. 445
    • Weinberg, E.J.1
  • 53
    • 0542429295 scopus 로고
    • Nahm's equations and hyper-Kähler geometry
    • Dancer A.S. Nahm's equations and hyper-Kähler geometry. Commun. Math. Phys. 158 (1993) 545-568
    • (1993) Commun. Math. Phys. , vol.158 , pp. 545-568
    • Dancer, A.S.1
  • 54
    • 52749092321 scopus 로고    scopus 로고
    • A.S. Dancer, Nahm data and SU (3) monopoles, DAMTP-91-44
    • A.S. Dancer, Nahm data and SU (3) monopoles, DAMTP-91-44
  • 55
    • 0042136949 scopus 로고    scopus 로고
    • A numerical study of SU (3) charge-two monopoles with minimal symmetry breaking
    • Dancer A.S., and Leese R.A. A numerical study of SU (3) charge-two monopoles with minimal symmetry breaking. Phys. Lett. B 390 (1997) 252-256
    • (1997) Phys. Lett. B , vol.390 , pp. 252-256
    • Dancer, A.S.1    Leese, R.A.2
  • 56
    • 0001234241 scopus 로고    scopus 로고
    • SU (3) monopoles and their fields
    • Irwin P. SU (3) monopoles and their fields. Phys. Rev. D 56 (1997) 5200-5208
    • (1997) Phys. Rev. D , vol.56 , pp. 5200-5208
    • Irwin, P.1
  • 57
    • 0032536219 scopus 로고    scopus 로고
    • Quantisation of monopoles with non-abelian magnetic charge
    • Bais F.A., and Schroers B.J. Quantisation of monopoles with non-abelian magnetic charge. Nucl. Phys. B 512 (1998) 250-294
    • (1998) Nucl. Phys. B , vol.512 , pp. 250-294
    • Bais, F.A.1    Schroers, B.J.2
  • 58
    • 0037116260 scopus 로고    scopus 로고
    • Multicloud solutions with massless and massive monopoles
    • Houghton C.J., and Weinberg E.J. Multicloud solutions with massless and massive monopoles. Phys. Rev. D 66 (2002) 125002
    • (2002) Phys. Rev. D , vol.66 , pp. 125002
    • Houghton, C.J.1    Weinberg, E.J.2
  • 59
    • 0000860502 scopus 로고
    • Singularities, character formulas, and a q-analog of weight multiplicities
    • Analysis and Topology on Singular Spaces, II, III. Luminy, 1981
    • Lusztig G. Singularities, character formulas, and a q-analog of weight multiplicities. Analysis and Topology on Singular Spaces, II, III. Luminy, 1981. Astérisque 101 (1983)
    • (1983) Astérisque , vol.101
    • Lusztig, G.1
  • 60
    • 0001505233 scopus 로고    scopus 로고
    • Crystals via the affine Grassmannian
    • math.AG/9909077
    • Braverman A., and Gaitsgory D. Crystals via the affine Grassmannian. Duke Math. J. 107 3 (2001) 561-575. math.AG/9909077
    • (2001) Duke Math. J. , vol.107 , Issue.3 , pp. 561-575
    • Braverman, A.1    Gaitsgory, D.2
  • 61
    • 0000557682 scopus 로고
    • Charge quantization in theories with an adjoint representation Higgs mechanism
    • Goddard P., and Olive D.I. Charge quantization in theories with an adjoint representation Higgs mechanism. Nucl. Phys. B 191 (1981) 511
    • (1981) Nucl. Phys. B , vol.191 , pp. 511
    • Goddard, P.1    Olive, D.I.2
  • 62
    • 0000854683 scopus 로고
    • The magnetic charges of stable selfdual monopoles
    • Goddard P., and Olive D.I. The magnetic charges of stable selfdual monopoles. Nucl. Phys. B 191 (1981) 528
    • (1981) Nucl. Phys. B , vol.191 , pp. 528
    • Goddard, P.1    Olive, D.I.2
  • 63
    • 0011116621 scopus 로고    scopus 로고
    • Massive and massless monopoles with nonabelian magnetic charges
    • Lee K., Weinberg E.J., and Yi P. Massive and massless monopoles with nonabelian magnetic charges. Phys. Rev. D 54 (1996) 6351-6371
    • (1996) Phys. Rev. D , vol.54 , pp. 6351-6371
    • Lee, K.1    Weinberg, E.J.2    Yi, P.3
  • 65
    • 0032494929 scopus 로고    scopus 로고
    • S-duality in Yang-Mills theory with non-abelian unbroken gauge group
    • Schroers B.J., and Bais F.A. S-duality in Yang-Mills theory with non-abelian unbroken gauge group. Nucl. Phys. B 535 (1998) 197-218
    • (1998) Nucl. Phys. B , vol.535 , pp. 197-218
    • Schroers, B.J.1    Bais, F.A.2
  • 66
    • 33749035293 scopus 로고    scopus 로고
    • Non-Abelian vortices of higher winding numbers
    • Eto M., et al. Non-Abelian vortices of higher winding numbers. Phys. Rev. D 74 (2006) 065021
    • (2006) Phys. Rev. D , vol.74 , pp. 065021
    • Eto, M.1
  • 67
    • 34548026303 scopus 로고    scopus 로고
    • Non-Abelian duality from vortex moduli: A dual model of color-confinement
    • Eto M., et al. Non-Abelian duality from vortex moduli: A dual model of color-confinement. Nucl. Phys. B 780 (2007) 161-187
    • (2007) Nucl. Phys. B , vol.780 , pp. 161-187
    • Eto, M.1
  • 69
    • 52749084943 scopus 로고    scopus 로고
    • F.A. Bais, L. Kampmeijer, B.J. Schroers, J.K. Slingerland, in preparation
    • F.A. Bais, L. Kampmeijer, B.J. Schroers, J.K. Slingerland, in preparation
  • 70
    • 0003194420 scopus 로고
    • Angular Momentum in Quantum Physics
    • Addison-Wesley, Reading, MA
    • Biedenharn L.C., and Louck J.D. Angular Momentum in Quantum Physics. Encyclopedia Math. Appl. vol. 8 (1981), Addison-Wesley, Reading, MA
    • (1981) Encyclopedia Math. Appl. , vol.8
    • Biedenharn, L.C.1    Louck, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.