Abelian Duality and Abelian Wilson Loops

Communications in Mathematical Physics

Volumn 242, Issue 3, 2003, Pages 473-500

  Zucchini, Roberto ^a,b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b INFN SEZIONE DI BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344120355     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0942-1     Document Type: Article

References (38)

1. Dirac, P.A.M.: Quantized Singularities in the Electromagnetic Field. Proc. Roy. Soc. A133, 60 (1931)
2. Wu, T.T., Yang, C.N.: Concept of non Integrable Phase Factors and Global Formulation of Gauge Fields. Phys. Rev. D12, 3845 (1975)
3. Schwinger, J.S.: Magnetic Charge and Quantum Field. Theory. Phys. Rev. 144, 1087 (1966)
4. Zwanziger, D.: Exactly Soluble Nonrelativistic Model of Particles with Both Electric and Magnetic Charges. Phys. Rev. 176, 1480 (1968)
5. Polyakov, A.M.: Particle Spectrum In Quantum Field Theory. JETP Lett. 20, 194 (1974) [Pisma Zh. Eksp. Teor. Fiz. 20, 430 (1974)]
6. Polyakov, A.M.: Particle Spectrum In Quantum Field Theory. JETP Lett. 20, 194 (1974) [Pisma Zh. Eksp. Teor. Fiz. 20, 430 (1974)]
7. 't Hooft, G.: Magnetic Monopoles in Unified Gauge Theories. Nucl. Phys. B79, 276 (1974)
8. Julia, B., Zee, A.: Poles with Both Magnetic and Electric Charges in Nonabelian Gauge Theory. Phys. Rev. D11, 2227 (1975)
9. Prasad, M.K., Sommerfield, CM.: An Exact Classical Solution for the 't Hooft Monopole and the Julia-Zee Dyon. Phys. Rev. Lett. 35, 760 (1975)
10. Bogomolnyi, E.B.: The Stability of Classical Solutions. Sov. J. Nucl. Phys. 24, 449 (1976)
11. Witten, E., Olive, D.I.: Supersymmetry Algebras that Include Topological Charges. Phys. Lett. B78, 97 (1978)
12. Seiberg, N., Witten, E.: Monopoles, Duality and Chiral Symmetry Breaking in N = 2 Supersymmetric QCD. Nucl. Phys. B431, 484 (1994), arXiv:hep-th/9408099
13. Cremmer, E., Julia, B.: The SO(8) Supergravity. Nucl. Phys. B159, 141 (1979)
14. Gaillard, M.K., Zumino, B.: Duality Rotations for Interacting Fields. Nucl. Phys. B193, 221 (1981)
15. Font, A., Ibanez, L.E., Lust, D., Quevedo, F.: Strong-Weak Coupling Duality and Nonperturbative Effects in String Theory. Phys. Lett. B249, 35 (1990)
16. Hull, C.M., Townsend, P.K.: Nucl. Phys. B 438, 109 (1995), arXiv:hep-th/9410167
17. Witten, E.: String Theory Dynamics in Various Dimensions. Nucl. Phys. B443, 85 (1995), arXiv:hep-th/9503124
18. Strominger, A.: Massless Black Holes and Conifolds in String Theory. Nucl. Phys. B451, 96 (1995), arXiv:hep-th/9504090
19. Witten, E.: On S Duality in Abelian Gauge Theory. Selecta Math. 1,383(1995). arXiv:hep-th/9505186
20. Verlinde, E.: Global Aspects of Electricmagnetic Duality. Nucl. Phys. B455, 211 (1995), arXiv:hep-th/9506011
21. Olive, D.I., Alvarez, M.: Spin and Abelian Electromagnetic Duality on Four-Manifolds. Commun. Math. Phys. 217, 331 (2001), arXiv:hep-th/0003155
22. Alvarez, M., Olive, D.I.: The Dirac Quantization Condition for Fluxes on Four-Manifolds. Commun. Math. Phys. 210, 13 (2000), arXiv:hep-th/9906093
23. Olive, D.I.: Exact Electromagnetic Duality. Prepared for NATO Advanced Study Institute on Strings, Branes and Dualities, Cargese. France, 26 May-14 June 1997
24. Alvarez-Gaume, L., Zamora, F.: Duality in Quantum Field Theory (and String Theory). Prepared for 37th Internationale Universitatswochen fuer Kernphysik und Teilchenphysik: Broken Symmetries (37 IUKT), Schladming, Austria, 28 Feb-7 Mar 1998, arXiv:hep-th/9709180
25. Olive, D.I.: Spin and Electromagnetic Duality: An outline. arXiv:hep-th/0104062
26. Bott, R., Tu, L.: Differential Forms in Algebraic Topology. New York: Springer Verlag, 1982
27. Schwarz, A.S.: Quantum Field Theory And Topology. Berlin: Springer Verlag, 1993
28. Brylinski, J.-L.: Loop Spaces, Characteristic Classes and Geometric Quantization. Basel-Boston: Birkhäuser, 1993
29. Koszul, J.L.: Travaux de S. S. Chern et J. Simons sur les Classes Caractéristiques. Séminaire Bourbaki 26ème année 440, 69 (1973/74)
30. Cheeger, J.: Multiplication of Differential Characters. Convegno Geometrico INDAM, Roma maggio 1972, in Symposia Mathematica XI, London-New York: Academic Press, 1973, p.441
31. Cheeger, J., Simons, J.: Differential Characters and Geometric Invariants. Stony Brook preprint (1973), reprinted in Lecture Notes in Math. 1167, Berlin-Heidelberg-New York: Springer Verlag, 1985, p. 50
32. Cheeger, J., Simons, J.: Differential Characters and Geometric Invariants. Stony Brook preprint (1973), reprinted in Lecture Notes in Math. 1167, Berlin-Heidelberg-New York: Springer Verlag, 1985, p. 50
33. Gilkey, P.B.: Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem. Wilmington, DE: Publish or Perish, 1984
34. Morgan, J.W., Sullivan, D.P.: The Transversality Characteristic Class and Linking Cycles in Surgery Theory. Ann. Math. 99, 461 (1974)
35. Freed, D.S.: Determinants, Torsion and Strings. Commun. Math. Phys. 107, 483 (1986)
36. Witten, E.: Quantum Field Theory and the Jones Polynomial. Commun. Math. Phys. 121, 351 (1989)
37. Igusa, J.: Theta Functions. Berlin: Springer Verlag, 1972
38. Miyake, T.: Modular Forms. Berlin: Springer Verlag, 1989