Journal of Mathematical Physics
Search:
   
 
 
 
Previous Article
Analysis of unbounded operators and random motion
We study infinite weighted graphs with view to “limits at infinity” or boundaries at infinity. Examples of such weighted graphs arise in infinite (in practice, that means “very&rdquo...
Next Article
Particle topology, braids, and braided belts
Recent work [S. O. Bilson-Thompson, e-print arXiv:hep-th/0503213; Bilson-Thompson et al., Class. Quantum Grav. 24, 3975 (2007)] suggests that topological features of certain quantum gravity theories c...

On the Moyal deformation of Nahm equations in seven dimensions

J. Math. Phys. 50, 113504 (2009); doi:10.1063/1.3254325

Published 5 November 2009

You are not logged in to this journal. Log in

Hugo García-Compeán and Aldo A. Martínez-Merino
Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, México, Distrito Federal 07000, Mexico
We show how the reduced (anti-)self-dual Yang–Mills equations to seven dimensions described by the Nahm equations can be carried over to the Weyl–Wigner–Moyal formalism. In the process some new solutions for the cases of gauge groups SU(2) and SL(2,[openface R]) are explicitly obtained. ©2009 American Institute of Physics
History: Received 14 August 2009; accepted 3 October 2009; published 5 November 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/113504/1
BUY THIS ARTICLE   (US$24)
Download PDF (155 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 11.15.-q
    Gauge field theories
  • 11.30.Ly
    Other internal and higher symmetries in particles and fields
  • YEAR: 2009

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (43)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. E. Corrigan, C. Devchand, D. Fairlie, and J. Nuyts, Nucl. Phys. B 214, 452 (1983).
  2. R. S. Ward, Nucl. Phys. B 236, 381 (1984).
  3. J. M. Figueroa-O'Farrill, J. Geom. Phys. 32, 227 (1999), arXiv:hep-th/9710168.
  4. S. K. Donaldson and R. P. Thomas, in The Geometric Universe: Science, Geometry and the Work of Roger Penrose, edited by S. A. Huggett, L. J. Mason, K. P. Tod, S. T. Tsou, and N. M. J. Woodhouse (Oxford University Press, Oxford, 1998), pp. 31–47
  5. S. K. Donaldson and E. Segal, e-print arXiv:0902.3239.
  6. Y. Hiraoka, Phys. Lett. B 536, 147 (2002), arXiv:hep-th/0203047.
  7. R. V. Buniy and T. W. Kephart, Phys. Lett. B 548, 97 (2002), arXiv:hep-th/0210037.
  8. R. Harvey and H. B. Lawson, Acta Math. 148, 47 (1982).
  9. D. Joyce, Compact Manifolds with Special Holonomy (Oxford University Press, Oxford, 2000).
  10. S. M. Salamon, Riemannian Geometry and Holonomy Groups, Pitman Research Notes in Mathematics Series 201 (Longmans, New York, 1989).
  11. J. A. Harvey and A. Strominger, Phys. Rev. Lett. 66, 549 (1991).
  12. S. L. Shatashvili and C. Vafa, Selecta Math., New Ser. 1, 347 (1995), arXiv:hep-th/9407025.
  13. B. S. Acharya and S. Gukov, Phys. Rep. 392, 121 (2004), arXiv:hep-th/0409191.
  14. L. Baulieu, H. Kanno, and I. M. Singer, Commun. Math. Phys. 194, 149 (1998), arXiv:hep-th/9704167.
  15. B. S. Acharya, J. M. Figueroa-O'Farrill, B. J. Spence, and M. O'Loughlin, Nucl. Phys. B 514, 583 (1998), arXiv:hep-th/9707118.
  16. T. Banks, W. Fischler, S. H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997), arXiv:hep-th/9610043.
  17. T. Curtright, D. Fairlie, and C. K. Zachos, Phys. Lett. B 405, 37 (1997), arXiv:hep-th/9704037.
  18. D. B. Fairlie, Mod. Phys. Lett. A 13, 263 (1998), arXiv:hep-th/9707190.
  19. D. B. Fairlie and T. Ueno, e-print arXiv:hep-th/9710079.
  20. T. Ueno, Phys. Lett. A 245, 373 (1998), arXiv:hep-th/9801079.
  21. Y. h. Gao and G. Tian, J. High Energy Phys. 0005, 036 (2000).
  22. A. D. Popov, A. G. Sergeev, and M. Wolf, J. Math. Phys. 44, 4527 (2003).
  23. L. Baker and D. Fairlie, J. Math. Phys. 40, 2539 (1999).
  24. A. Ashtekar, T. Jacobson, and L. Smolin, Commun. Math. Phys. 115, 631 (1988)
  25. L. J. Mason and E. T. Newman, ibid. 121, 659 (1989).
  26. C. Castro, J. Math. Phys. 34, 681 (1993).
  27. V. Husain, J. Math. Phys. 36, 6897 (1995).
  28. C. Castro and J. Plebański, J. Math. Phys. 40, 3738 (1999).
  29. J. F. Plebański, M. Przanowski, B. Rajca, and J. Tosiek, Acta Phys. Pol. B 26, 889 (1995)
  30. 27, 1961 (1996)
    J. F. Plebański and M. Przanowski, For the 80th Birthday of A. Lichnerowitz, edited by G. Ferrarese (Pitagora, Bologna, 1996)
    Phys. Lett. A 212, 22 (1996)
    J. F. Plebański, M. Przanowski, and H. García-Compeán, Mod. Phys. Lett. A 11, 663 (1996)
    K. B. Wolf, in Group Theoretical Methods in Physics, Cocoyoc México 1980, edited by K. B. Wolf (Springer-Verlag, New York, 1980), pp. 526–531.
  31. Y. Yasui and T. Ootsuka, Class. Quantum Grav. 18, 807 (2001).
  32. Y. Konishi and M. Naka, Class. Quantum Grav. 18, 5521 (2001).
  33. B. S. Acharya and M. O'Loughlin, Phys. Rev. D 55, R4521 (1997).
  34. E. G. Floratos and A. Kehagias, Phys. Lett. B 427, 283 (1998).
  35. I. Bakas, E. G. Floratos, and A. Kehagias, Phys. Lett. B 445, 69 (1998).
  36. H. Nishino and S. Rajpoot, Phys. Lett. B 569, 102 (2003).
  37. J. A. Nieto, Class. Quantum Grav. 22, 947 (2005).
  38. J. A. Nieto, e-print arXiv:0704.2769.
  39. H. García-Compeán and J. F. Plebański, Phys. Lett. A 234, 5 (1997).
  40. R. S. Ward, Phys. Lett. B 234, 81 (1990)
  41. J. Geom. Phys. 8, 317 (1992).
  42. E. Witten, J. Geom. Phys. 8, 327 (1992).
  43. V. V. Vershinin, Acta Appl. Math. 75, 281 (2003).
  44. J. C. Baez, Bull. Am. Math. Soc. 39, 145 (2002).
  45. R. Dundarer, F. Gürsey, and C. H. Tze, J. Math. Phys. 25, 1496 (1984).
  46. S. Chakravarty, L. Mason, and E. T. Newman, J. Math. Phys. 32, 1458 (1991).
  47. J. F. Plebański, J. Math. Phys. 16, 2395 (1975).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.