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Volumn 234, Issue 1, 1997, Pages 5-12

On the Weyl-Wigner-Moyal description of SU(∞) Nahm equations

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC MONOPOLES; SELF-DUAL; SPACE TIME; YANG-MILLS THEORY;

EID: 0003189306     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00546-X     Document Type: Article
Times cited : (14)

References (47)
  • 2
    • 13644276850 scopus 로고
    • N. Seiberg and E. Witten, Nucl. Phys. B 426 (1994) 19; 431 (1994) 484.
    • (1994) , vol.431 , pp. 484
  • 3
    • 0004073804 scopus 로고
    • Cambridge University Press, Cambridge
    • R.S. Ward and R.O. Wells Jr., Twistor geometry and field theory (Cambridge University Press, Cambridge, 1990); E. Corrigan and P. Goddard, Commun. Math. Phys. 80 (1981) 575; N.J. Hitchin, Commun. Math. Phys. 83 (1982) 579, 89 (1983) 145; S.K. Donaldson, Commun. Math. Phys. 96 (1985) 387; M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles (Princeton University Press, Princeton, 1988); H. Nakajima, Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990), Lecture Notes in Pure and Appl. Mathematics, Vol. 145 (Dekker, New York, 1993) p. 193.
    • (1990) Twistor Geometry and Field Theory
    • Ward, R.S.1    Wells R.O., Jr.2
  • 4
    • 0001310364 scopus 로고
    • R.S. Ward and R.O. Wells Jr., Twistor geometry and field theory (Cambridge University Press, Cambridge, 1990); E. Corrigan and P. Goddard, Commun. Math. Phys. 80 (1981) 575; N.J. Hitchin, Commun. Math. Phys. 83 (1982) 579, 89 (1983) 145; S.K. Donaldson, Commun. Math. Phys. 96 (1985) 387; M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles (Princeton University Press, Princeton, 1988); H. Nakajima, Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990), Lecture Notes in Pure and Appl. Mathematics, Vol. 145 (Dekker, New York, 1993) p. 193.
    • (1981) Commun. Math. Phys. , vol.80 , pp. 575
    • Corrigan, E.1    Goddard, P.2
  • 5
    • 0001653254 scopus 로고
    • R.S. Ward and R.O. Wells Jr., Twistor geometry and field theory (Cambridge University Press, Cambridge, 1990); E. Corrigan and P. Goddard, Commun. Math. Phys. 80 (1981) 575; N.J. Hitchin, Commun. Math. Phys. 83 (1982) 579, 89 (1983) 145; S.K. Donaldson, Commun. Math. Phys. 96 (1985) 387; M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles (Princeton University Press, Princeton, 1988); H. Nakajima, Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990), Lecture Notes in Pure and Appl. Mathematics, Vol. 145 (Dekker, New York, 1993) p. 193.
    • (1982) Commun. Math. Phys. , vol.83 , pp. 579
    • Hitchin, N.J.1
  • 6
    • 33744740330 scopus 로고
    • R.S. Ward and R.O. Wells Jr., Twistor geometry and field theory (Cambridge University Press, Cambridge, 1990); E. Corrigan and P. Goddard, Commun. Math. Phys. 80 (1981) 575; N.J. Hitchin, Commun. Math. Phys. 83 (1982) 579, 89 (1983) 145; S.K. Donaldson, Commun. Math. Phys. 96 (1985) 387; M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles (Princeton University Press, Princeton, 1988); H. Nakajima, Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990), Lecture Notes in Pure and Appl. Mathematics, Vol. 145 (Dekker, New York, 1993) p. 193.
    • (1983) Commun. Math. Phys. , vol.89 , pp. 145
  • 7
    • 0001017180 scopus 로고
    • R.S. Ward and R.O. Wells Jr., Twistor geometry and field theory (Cambridge University Press, Cambridge, 1990); E. Corrigan and P. Goddard, Commun. Math. Phys. 80 (1981) 575; N.J. Hitchin, Commun. Math. Phys. 83 (1982) 579, 89 (1983) 145; S.K. Donaldson, Commun. Math. Phys. 96 (1985) 387; M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles (Princeton University Press, Princeton, 1988); H. Nakajima, Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990), Lecture Notes in Pure and Appl. Mathematics, Vol. 145 (Dekker, New York, 1993) p. 193.
    • (1985) Commun. Math. Phys. , vol.96 , pp. 387
    • Donaldson, S.K.1
  • 8
    • 0003430726 scopus 로고
    • Princeton University Press, Princeton
    • R.S. Ward and R.O. Wells Jr., Twistor geometry and field theory (Cambridge University Press, Cambridge, 1990); E. Corrigan and P. Goddard, Commun. Math. Phys. 80 (1981) 575; N.J. Hitchin, Commun. Math. Phys. 83 (1982) 579, 89 (1983) 145; S.K. Donaldson, Commun. Math. Phys. 96 (1985) 387; M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles (Princeton University Press, Princeton, 1988); H. Nakajima, Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990), Lecture Notes in Pure and Appl. Mathematics, Vol. 145 (Dekker, New York, 1993) p. 193.
    • (1988) The Geometry and Dynamics of Magnetic Monopoles
    • Atiyah, M.F.1    Hitchin, N.J.2
  • 9
    • 0003329507 scopus 로고
    • Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990)
    • Dekker, New York
    • R.S. Ward and R.O. Wells Jr., Twistor geometry and field theory (Cambridge University Press, Cambridge, 1990); E. Corrigan and P. Goddard, Commun. Math. Phys. 80 (1981) 575; N.J. Hitchin, Commun. Math. Phys. 83 (1982) 579, 89 (1983) 145; S.K. Donaldson, Commun. Math. Phys. 96 (1985) 387; M.F. Atiyah and N.J. Hitchin, The geometry and dynamics of magnetic monopoles (Princeton University Press, Princeton, 1988); H. Nakajima, Monopoles and Nahm equations, Einstein metrics and Yang-Mills connections (Sanda 1990), Lecture Notes in Pure and Appl. Mathematics, Vol. 145 (Dekker, New York, 1993) p. 193.
    • (1993) Lecture Notes in Pure and Appl. Mathematics , vol.145 , pp. 193
    • Nakajima, H.1
  • 10
    • 33645953785 scopus 로고
    • W. Nahm, Phys. Lett. B 90 (1980) 413; The construction of all self-dual multimonopoles by the ADHM Method, in: monopoles in Quantum field theory, eds. N. Craigie et al. (World Scientific, Singapore, 1982); Mathematical structures underlying monopoles in gauge theories, eds. N. Craigie (World Scientific, Singapore, 1986).
    • (1980) Phys. Lett. B , vol.90 , pp. 413
    • Nahm, W.1
  • 11
    • 33645953785 scopus 로고
    • The construction of all self-dual multimonopoles by the ADHM method
    • World Scientific, Singapore
    • W. Nahm, Phys. Lett. B 90 (1980) 413; The construction of all self-dual multimonopoles by the ADHM Method, in: monopoles in Quantum field theory, eds. N. Craigie et al. (World Scientific, Singapore, 1982); Mathematical structures underlying monopoles in gauge theories, eds. N. Craigie (World Scientific, Singapore, 1986).
    • (1982) Monopoles in Quantum Field Theory
    • Craigie, N.1
  • 12
    • 33645953785 scopus 로고
    • World Scientific, Singapore
    • W. Nahm, Phys. Lett. B 90 (1980) 413; The construction of all self-dual multimonopoles by the ADHM Method, in: monopoles in Quantum field theory, eds. N. Craigie et al. (World Scientific, Singapore, 1982); Mathematical structures underlying monopoles in gauge theories, eds. N. Craigie (World Scientific, Singapore, 1986).
    • (1986) Mathematical Structures Underlying Monopoles in Gauge Theories
    • Craigie, N.1
  • 17
    • 0001354175 scopus 로고
    • A. Ashtekar, T. Jacobson and L. Smolin, Commun. Math. Phys. 115 (1988) 631; L.J. Mason and E.T. Newman, Commun. Math. Phys. 121 (1989) 659.
    • (1989) Commun. Math. Phys. , vol.121 , pp. 659
    • Mason, L.J.1    Newman, E.T.2
  • 20
    • 30244556278 scopus 로고
    • K. Takasaki, J. Geom. Phys. 14 (1994) 111; 14 (1994) 332.
    • (1994) J. Geom. Phys. , vol.14 , pp. 332
  • 21
    • 0010877548 scopus 로고
    • J.F. Plebański, M. Przanowski, B. Rajca and J. Tosiek, Acta Phys. Pol. B 26 (1995) 889; J.F. Plebański, M. Przanowski and J. Tosiek, Acta Phys. Pol. B 27 (1996) 1961; J.F. Plebański and M. Przanowski, The universal covering of heavenly equations via Weyl-Wigner-Moyal formalism in Gravitation, electromagnetism and geometrical structures for the 80th birthday of A. Lichnerowitz, ed. G. Ferrarese (Pitagora, Bologna, 1996); Phys. Lett. A 212 (1996) 22; J.F. Plebański, M. Przanowski and H. García-Compeán, Mod. Phys. Lett. A 11 (1996) 663.
    • (1995) Acta Phys. Pol. B , vol.26 , pp. 889
    • Plebański, J.F.1    Przanowski, M.2    Rajca, B.3    Tosiek, J.4
  • 22
    • 0009492172 scopus 로고    scopus 로고
    • J.F. Plebański, M. Przanowski, B. Rajca and J. Tosiek, Acta Phys. Pol. B 26 (1995) 889; J.F. Plebański, M. Przanowski and J. Tosiek, Acta Phys. Pol. B 27 (1996) 1961; J.F. Plebański and M. Przanowski, The universal covering of heavenly equations via Weyl-Wigner-Moyal formalism in Gravitation, electromagnetism and geometrical structures for the 80th birthday of A. Lichnerowitz, ed. G. Ferrarese (Pitagora, Bologna, 1996); Phys. Lett. A 212 (1996) 22; J.F. Plebański, M. Przanowski and H. García-Compeán, Mod. Phys. Lett. A 11 (1996) 663.
    • (1996) Acta Phys. Pol. B , vol.27 , pp. 1961
    • Plebański, J.F.1    Przanowski, M.2    Tosiek, J.3
  • 24
    • 78649811649 scopus 로고    scopus 로고
    • J.F. Plebański, M. Przanowski, B. Rajca and J. Tosiek, Acta Phys. Pol. B 26 (1995) 889; J.F. Plebański, M. Przanowski and J. Tosiek, Acta Phys. Pol. B 27 (1996) 1961; J.F. Plebański and M. Przanowski, The universal covering of heavenly equations via Weyl-Wigner-Moyal formalism in Gravitation, electromagnetism and geometrical structures for the 80th birthday of A. Lichnerowitz, ed. G. Ferrarese (Pitagora, Bologna, 1996); Phys. Lett. A 212 (1996) 22; J.F. Plebański, M. Przanowski and H. García-Compeán, Mod. Phys. Lett. A 11 (1996) 663.
    • (1996) Phys. Lett. A , vol.212 , pp. 22
  • 25
    • 0040810075 scopus 로고    scopus 로고
    • J.F. Plebański, M. Przanowski, B. Rajca and J. Tosiek, Acta Phys. Pol. B 26 (1995) 889; J.F. Plebański, M. Przanowski and J. Tosiek, Acta Phys. Pol. B 27 (1996) 1961; J.F. Plebański and M. Przanowski, The universal covering of heavenly equations via Weyl-Wigner-Moyal formalism in Gravitation, electromagnetism and geometrical structures for the 80th birthday of A. Lichnerowitz, ed. G. Ferrarese (Pitagora, Bologna, 1996); Phys. Lett. A 212 (1996) 22; J.F. Plebański, M. Przanowski and H. García-Compeán, Mod. Phys. Lett. A 11 (1996) 663.
    • (1996) Mod. Phys. Lett. A , vol.11 , pp. 663
    • Plebański, J.F.1    Przanowski, M.2    García-Compeán, H.3
  • 28
    • 0002966222 scopus 로고
    • R.S. Ward, Phys. Lett. B 234 (1990) 81; J. Geom. Phys. 8 (1992) 317.
    • (1990) Phys. Lett. B , vol.234 , pp. 81
    • Ward, R.S.1
  • 29
    • 30244491222 scopus 로고
    • R.S. Ward, Phys. Lett. B 234 (1990) 81; J. Geom. Phys. 8 (1992) 317.
    • (1992) J. Geom. Phys. , vol.8 , pp. 317
  • 35
    • 30244509246 scopus 로고
    • M.I.T. Ph.D. Thesis
    • J. Hoppe, M.I.T. Ph.D. Thesis (1982); Constraints theory and relativistic dynamics, eds. G. Longhi and L. Lusanna (Florence, 1986) (World Scientific, Singapore, 1987) p. 267; Phys. Lett. B 215 (1988) 706.
    • (1982)
    • Hoppe, J.1
  • 36
    • 0003406322 scopus 로고
    • Florence, World Scientific, Singapore
    • J. Hoppe, M.I.T. Ph.D. Thesis (1982); Constraints theory and relativistic dynamics, eds. G. Longhi and L. Lusanna (Florence, 1986) (World Scientific, Singapore, 1987) p. 267; Phys. Lett. B 215 (1988) 706.
    • (1986) Constraints Theory and Relativistic Dynamics , pp. 267
    • Longhi, G.1    Lusanna, L.2
  • 37
    • 30244508786 scopus 로고
    • J. Hoppe, M.I.T. Ph.D. Thesis (1982); Constraints theory and relativistic dynamics, eds. G. Longhi and L. Lusanna (Florence, 1986) (World Scientific, Singapore, 1987) p. 267; Phys. Lett. B 215 (1988) 706.
    • (1988) Phys. Lett. B , vol.215 , pp. 706
  • 38
    • 1542608403 scopus 로고
    • Integral transform representations of SL(2, Re)
    • Cocoyoc, Mexico, 1980, ed. K.B. Wolf Springer, Berlin
    • K.B. Wolf, Integral transform representations of SL(2, Re), in: Group theoretical methods in physics, Cocoyoc, Mexico, 1980, ed. K.B. Wolf (Springer, Berlin, 1980) p. 526.
    • (1980) Group Theoretical Methods in Physics , pp. 526
    • Wolf, K.B.1
  • 43
    • 10844226624 scopus 로고    scopus 로고
    • A geometry for multidimensional integrable systems
    • to appear, hep-th/9604142
    • I.A.B. Strachan, A geometry for multidimensional integrable systems, J. Geom. Phys. ( 1996), to appear, hep-th/9604142.
    • (1996) J. Geom. Phys.
    • Strachan, I.A.B.1
  • 44
    • 0002126986 scopus 로고
    • Complex cobordism, Ashtekar's equations and diffeomorphisms
    • ed. D. Salamon, London Math. Soc.
    • S.K. Donaldson, Complex Cobordism, Ashtekar's equations and diffeomorphisms in: Symplectic geometry, ed. D. Salamon, London Math. Soc. (1992) 45.
    • (1992) Symplectic Geometry , pp. 45
    • Donaldson, S.K.1


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