Spin and Abelian electromagnetic duality on four-manifolds

Communications in Mathematical Physics

Volumn 217, Issue 2, 2001, Pages 331-356

  Alvarez, Marcos ^a   Olive, David I ^b,c  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b SWANSEA UNIVERSITY   (United Kingdom)

^c UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529882     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000354     Document Type: Article

References (25)

1. 1. Alvarez, M. and Olive, D.I.: The Dime quantisation condition for fluxes on Four-manifolds, Commun. Math. Phys. 210, 13-28 (2000); hep-th/9906093
2. 2. Alvarez O.: Topological Quantisation and Cohomology. Commun. Math. Phys. 100, 279-309 (1985)
3. 3. Cremmer, E. and Julia, B.: The SO(8) Supergravity. Nucl. Phys. B 159, 141-212 (1979)
4. 4. D'Adda, A., Horsley, R. and Di Vecchia, P.: Supersymmetric Monopoles and Dyons. Phys. Lett. B 76, 298-302 (1978)
5. 5. Aharonov, Y. and Bohm, D.: Significance of electromagnetic potentials in the quantum theory. Phys. Rev. 115, 485-491 (1959)
6. 6. Dirac, P.A.M.: Quantised singularities in the electromagnetic field. Proc. Roy.Soc. A 133, 60-72 (1931)
7. 7. Dirac, P.A.M.: Gauge invariant formulation of Quantum Electrodynamics. Canad. J. Phys. 33, 650-660 (1955)
8. 8. Feynman, R.P. and Hibbs, A.R.: Quantum Mechanics and Path Integrals. New York, NY: McGraw-Hill. 1965, Chap. 10
9. 9. Feynman, R.P.: Statistical Mechanics. Reading, MA: Benjamin/Cummings, 1972, Chap. 3
10. 10. Gaillard, M.K. and Zumino, B.: Duality Rotations for Interacting Fields. Nucl. Phys. B 193, 221-244 (1981)
11. 11. Green, M., Schwarz, J. and Witten. E.: Superstring Theory. Vol. 2, Cambridge, MA: Cambridge University Press, 1987, Appendix 9B
12. 12. Kalb, M. and Ramond, P.: Classical direct interstring action. Phys. Rev. D 9, 2273-2284 (1974)
13. 13. Kac, V.: Infinite dimensional Lie algebras. Cambridge, MA: Cambridge University Press, 1990, Chap. 13
14. 14. Kramers, H.A. and Wannier, G.H.: Statistics of the Two-Dimensional Ferromagnet, I. Phys. Rev. 60, 252-276 (1941)
15. 15. Lawson, H.B. and Michelsohn, M-L.: Spin Geometry. Princeton Mathematical Series 38. Princeton, NJ: Princeton, 1989
16. 16. Milnor, J., Husemoller, D.: Symmetric bilinear forms. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73. Berlin-Heidelberg-New York: Springer-Verlag, 1973
17. 17. Montonen, C. and Olive, D.I.: Magnetic monopoles as gauge particles?. Phys. Lett. B 72 117-120 (1977)
18. 18. Osborn, H.: Topological Charges for N =4 Supersymmetric Gauge Theories and Monopoles of Spin 1. Phys. Lett. B 83 321-326 (1979)
19. 19. Schwarz, A.: Topology for Physicists. Berlin-Heidelberg-New York: Springer, 1994
20. 20. Sen, A.: Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space. and SL(2, Z) invariance in string theory. Phys. Lett. B 329 217-221 (1994)
21. 21. Verlinde, E.: Global aspects of electric-magnetic duality. Nucl. Phys. B 455, 211-228 (1995)
22. 22. Wilson, K.: Confinement of quarks. Phys. Rev. D 10, 2445-2459 (1974)
23. 23. Witten, E. and Olive, D.I.: Supersymmetry Algebras that Include Topological Charges. Phys. Lett. B 78, 97-101 (1978)
24. 24. Witten, E.: On S-duality in Abelian gauge theory. Selecta Math (NS) 1, 383-410 (1995): hep-th/9505186
25. 25. Wu, T.T. and Yang, C.N.: Concept of non-integrable phase factors and global formulation of gauge fields. Phys. Rev. D 12, 3845-3857 (1975)