Intersecting brane geometries

Journal of Geometry and Physics

Volumn 35, Issue 2-3, 2000, Pages 99-125

  Figueroa O'Farrill, Josè M ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

81T30; M theory; Self duality; Strings; Supersymmetric fivebrances

Indexed keywords

EID: 0001877041     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(00)00002-4     Document Type: Article

References (45)

1. B.S. Acharya, J.M. Figueroa-O'Farrill, M.O'Loughlin, B. Spence, Euclidean D-branes and higher-dimensional gauge theory, Nucl. Phys. B 514 (1998) 583-602, hep-th/9707118 .
2. B.S. Acharya, J.M. Figueroa-O'Farrill, B. Spence, Planes, branes and automorphisms: I. Static branes, hep-th/9805073 .
3. B.S. Acharya, J.M. Figueroa-O'Farrill, B. Spence, Branes at angles and calibrated geometry, JHEP 4 (1998) 12, hep-th/9803260 .
4. B.S. Acharya, J.M. Figueroa-O'Farrill, B. Spence, S. Stanciu, Planes, branes and automorphisms: II. Branes in motion, hep-th/9805176 .
5. K. Becker, M. Becker, D.R. Morrison, H. Ooguri, Y. Oz, Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4-folds, Nucl. Phys. 480 (1996) 225-238, hep-th/9608116 .
6. K. Becker, M. Becker, A. Strominger, Fivebranes, membranes and non-perturbative string theory, Nucl. Phys. 456 (1995) 130-152, hep-th/9509175 .
7. Berger M. Du côtè de chez Pu. Ann. Sci. Ècole Norm. Sup. 5:1972;1-44.
8. M. Berkooz, M.R. Douglas, R.G. Leigh, Branes intersecting at angles, Nucl. Phys. B 480 (1996) 265-278, hep-th/9606139 .
9. M. Bershadsky, V. Sadov, C. Vafa, D-branes and topological field theory, Nucl. Phys. B 463 (1996) 420-434, hep-th/9511222 .
10. A.L. Besse, Einstein Manifolds, Springer, Berlin, 1987.
11. R.L. Bryant, Remarks on spinors in low dimension, Unpublished notes, 1998.
12. Bryant R.L. Metrics with exceptional holonomy. Ann. Math. 126:1987;525-576.
13. Corrigan E., Devchand C., Fairlie D.B., Nuyts J. First-order equations for gauge fields in spaces of dimension greater than four. Nucl. Phys. B. 214:1983;452-464.
14. 6 Duke Math. J. 50:1983;1231-1243.
15. Dadok J., Harvey F.R. Calibrations and spinors. Acta Math. 170:1993;83-120.
16. 8 Trans. Am. Math. Soc. 307:1988;1-40.
17. Donaldson S.K. Anti-self-dual Yang-Mills connections on complex algebraic surfaces and stable vector bundles. Proc. London Math. Soc. 3:1985;1-26.
18. H. Federer, Geometric Measure Theory, Springer, New York, 1959.
19. J.M. Figueroa-O'Farrill, Gauge theory and the division algebras, J. Geom. Phys. 32 (1999) 227-240, hep-th/9710168 .
20. Galicki K., Poon Y.S. Duality and Yang-Mills fields on quaternionic Kähler manifolds. J. Math. Phys. 32:1991;1263-1268.
21. J.P. Gauntlett, Intersecting branes, hep-th/9705011 .
22. J.P. Gauntlett, N.D. Lambert, P.C. West, Branes and calibrated geometries, hep-th/9803216 .
23. G.W. Gibbons, G. Papadopoulos, Calibrations and intersecting branes, hep-th/9803163 .
24. Grabowski M., Tze C.H. Generalized self-dual bosonic membranes, vector cross-products and analyticity in higher dimensions. Phys. Lett. B. 224:1989;259-264.
25. F.R. Harvey, Spinors and Calibrations, Academic Press, New York, 1990.
26. Harvey F.R., Lawson H.B. Calibrated geometries. Acta Math. 148:1982;47-157.
27. * Ind. U. Math. J. 35:1986;145-156.
28. 7 ) Invent. Math. 83:1986;191-228.
29. Lawlor G. The angle criterion. Invent. Math. 95:1989;437-446.
30. G. Lawlor, Area-minimizing m -tuples of k -planes, in: Th. M. Rassias (Ed.), The Problem of Plateau, World Scientific, Singapore, 1992, pp. 165-180.
31. H.B. Lawson, M.L. Michelsohn, Spin Geometry, Princeton University Press, Priceton, NJ, 1989.
32. Mamone-Capria M., Salamon S.M. Yang-Mills fields on quaternionic spaces. Nonlinearity. 1:1988;517-530.
33. Morgan F. On the singular structure of three-dimensional, area-minimizing surfaces. Trans. Am. Math. Soc. 276:1983;137-143.
34. n and area minimization Linear Algebra Appl. 66:1985;1-28.
35. Morgan F. Area-minimizing surfaces, faces of Grassmannians, and calibrations. Am. Math. Monthly. 95:1988;813-822.
36. Nance D. Sufficient condition for a pair of. n -planes to be area-minimizing Math. Ann. 279:1987;161-164.
37. N. Ohta, P.K. Townsend, Supersymmetry of M-branes at angles, Phys. Lett. B 418 (1998) 77, hep-th/9710129 .
38. Ooguri H., Oz Y., Yin Z. D-branes on Calabi-Yau spaces and their mirrors. Nucl. Phys. B. 477:1996;407-430.
39. R. Penrose, W. Rindler, Spinors and Space-Time, Cambridge University Press, Cambridge, 1984.
40. M.M. Sheikh Jabbari, Classification of different branes at angles, hep-th/9710121 .
41. S. Stanciu, D-branes in Kazama-Suzuki models, hep-th/9708166 .
42. P.K. Townsend, M-branes at angles, hep-th/9708074 .
43. K. Uhlenbeck, S.T. Yau, On the existence of Hermitian Yang-Mills connections on stable bundles over compact Kähler manifolds, Commun. Pure Appl. Math. 39 (1986) 257-293; Correction: Commun. Pure Appl. Math. 42 (1986) 703-707.
44. K. Uhlenbeck, S.T. Yau, On the existence of Hermitian Yang-Mills connections on stable bundles over compact Kähler manifolds, Commun. Pure Appl. Math. 39 (1986) 257-293; Correction: Commun. Pure Appl. Math. 42 (1986) 703-707.
45. Ward R.S. Completely solvable gauge-field equations in dimension greater than four. Nucl. Phys. B. 236:1984;381-396.