Born-Infeld particles and dirichlet p-branes

Nuclear Physics B

Volumn 514, Issue 3, 1998, Pages 603-639

  Gibbons, G W ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032559701     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00795-5     Document Type: Article

References (52)

1. [1] C. Bachas, (Half) a lecture on D-branes, hep-th/9701019
2. [2] A. Strominger, Open D-Branes, Phys. Lett. 383 (1996) 44.
3. [3] Mike Douglas, David Lowe and John Schwartz, unpublished notes and private communication.
4. [4] M. Born and L. Infeld, Foundations of the new field theory, Proc. Roy. Soc. A 144 (1935) 425.
5. [5] M. Born, Théorie non-linéare du champ électromagnétique Ann. Inst. Poincaré 7 (1939) 155.
6. [6] E. Fradkin and A. Tseytlin Phys. Lett. B 163 (1985) 123.
7. [7] M.J. Perry and J. Schwarz, Interacting chiral gauge fields in six dimensions and Born-Infeld theory. hep-th/9611065.
8. [8] C. Bachas and M. Poratti, Pair creation of open strings in an electric field Phys. Lett. B 296 (1992) 77.
9. [9] C. Bachas, D-brane Dynamics, hep-th/9511043.
10. [10] E. Witten, Bound states of strings and p-branes, hep-th 9511035.
11. [11] A. Dabholkar and J. Harvey, Phys. Rev. Lett. 63 (1989) 478.
12. [12] A. Dabholkar, G.W. Gibbons, J. Harvey and F. Ruiz Ruiz, Superstrings and solitons, Nucl. Phys. 340.
13. [13] M.H. Pryce, The two-dimensional electrostatic solutions of Born's new field equations, Proc. Camb. Phil. Soc. 31 (1935) 50.
14. [14] M.H. Pryce, On a uniqueness theorem, Proc. Camb. Phil. Soc. 31 (1935) 625.
15. [15] W.C. Graustein, Harmonic Minimal Surfaces, Trans, Amer. Math. Soc. 47 (1940) 193.
16. [16] A.A. Klyachin and V.M. Mikyukov, Existence of solutions with singularities for the maximal surface equation in Minkowski space Russian Acad. Sci. Sb. Math. 80 (1995) 87.
17. [17] V.M. Miklyukov, Space-Like Tubes of Zero Mean Curvature in Minkowski Space, Advances in Geometric Analysis and Continuum Mechanics (International Press, Cambridge, MA, 1995).
18. [18] E. Schrödinger, A new exact solution in non-linear optics (two wave system), Proc. Roy. Irish Acad. 49 (1943) 59.
19. [19] A. Nakamura and K. Shiraishi. Born-Infeld Monopoles and Instantons, Hadronic Journal. 14 (1991) 369.
20. [20] K. Ecker and G. Huisken, Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological space-times. Commun. Math. Phys. 135 (1991) 595.
21. [21] I. Bialynicki-Birula, Non-linear electrodynamics: variations on a theme of Born and Infeld, in Quantum Theory of Particles and Fields ed. B. Jancewicz and J. Lukierski (World Scientific, Singapore, 1983) pp. 31-48.
22. [22] M. Bordemann and J. Hoppe, hep-th/9309025.
23. [23] K. Ecker, Area maximizing hypersurfaces in Minkowski space having an isolated singularity, Manuscripta Mathematica 56 (1986) 375.
24. [24] F.J.M. Estudillo and A. Romero, On maximal surfaces in the n-dimensional Lorentz-Minkowski space. Geometriae Dedicata 38 (1991) 167.
25. [25] B.M. Barbashov and N.A. Chernikov, Solution and quantization of a non-linear two-dimensional model for a Born-Infeld-type field, JETP 23 (1966) 861.
26. [26] B.M. Barbashov and N.A. Chernikov, Solution of the two plane wave scattering problem in a non-linear scalar theory of Born-Infeld type, JETP 24 (1967) 437.
27. [27] B.M. Barbashov, 'Classical' and quantum S-matrix in the Born-Infeld two-dimensional model of the field, JETP 27 (1968) 971.
28. [28] H.B. Lawson, Lectures on Minimal submanifolds, Publish or Perish (1980)
29. [29] B. Nielsen, Minimal Immersions, Einstein equations and Mach's principle, J. Geometry Phys. 4 (1987) 1.
30. [30] M.K. Galliard and B. Zumino, Self-duality in non-linear electromagnetism, hep-th/9705226.
31. [31] J. Hoppe, Conservation laws and formation of singularities in relativistic theories of extended objects. hep-th/9503069.
32. [32] J. Hoppe, Some classical solutions of relativistic membrane equations in 4 space-time dimensions. Phys. Lett. B 329 (1994) 10, hep-th/9402112.
33. [33] M. Bordemann and J. Hoppe, The dynamics of relativistic membranes I, Phys. Lett. B 325 (1994) 359, hep-th/9307036.
34. [34] M. Bordemann and J. Hoppe, The dynamics of relativistic membranes II, Phys. Lett. B 317 (1993) 315, hep-th/9307036, hep-th/9309025.
35. [35] G.W. Gibbons and D.A. Rasheed, Electric-magnetic duality rotations in non-linear electrodynamics Nucl. Phys. B 454 (1995) 185.
36. [36] G.W. Gibbons and D.A. Rasheed, SL(2,ℝ) invariance of non-linear electrodynamics coupled to an axion and a dilaton, Phys. Lett. B 365 (1996) 46.
37. [37] S.Y. Cheng and S.T. Yau, Maximal space-like hypersurfaces in Lorentz-Minkowski spaces, Ann. Math. 104 (1976) 407.
38. [38] R. Osserman, A Survey of Minimal Surfaces (Dover, 1986)
39. [39] E. Calabi, Examples of Bernstein problems for some non-linear equations, AMS Symposium on Global Analysis, Berkeley (1968).
40. [40] D. Hoffman, Computer aided discovery of new embedded minimal surfaces, Math. Intelligencer 9 (1987) 8.
41. [41] P.A.M. Dirac, An extensible model of the electron, Proc. Roy. Soc. A 268 (1962) 57.
42. [42] J.C.C. Nitsche, Lectures on Minimal Surfaces (Cambridge University Press, 1989).
43. [43] R. Harvey and H.B. Lawson, Jr., Acta Mathematica 148 (1982) 47.
44. [44] E. Schrödinger, Contribution to Born's new theory of the electromagnetic field, Proc. Roy. Soc. A 150 4655.
45. [45] R. Bartnik, Maximal surfaces and general relativity, Proc. of Miniconference on Analysis and Geometry, ANU, June 1986.
46. [46] D. Borwein, J.M. Borwein and K.F. Taylor, Convergence of lattice sums and Madelung's constant. J. Math. Phys. 26 (1985) 2999.
47. [47] K. Becker, M. Becker, D.R. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds, Nucl. Phys. 480 (1996) 225.
48. [48] M. Barriola and A. Vilenkin, Gravitational field of a global monopole, Phys. Rev. Lett. 63 (1989) 341.
49. [49] M.J. Duff, H. Lu, C.N. Pope and E. Szegin, Supermembranes with fewer supersymmetries, Phys. Lett. B 371 (1996) 206.
50. n invariant by an l-parameter group of motions An. Acad. Brasil. Ciênc. 53 (1983) 403.
51. [51] C.G. Callan and J.M. Maldacena, Brane death and dynamics from Born-Infeld action, hep-th/9708147.
52. [52] P.S. Howe, N.D. Lambert and P.C. West, The self-dual string soliton, hep-th/9709014.