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Exact Electromagnetic Duality

Introductory Lectures

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Strings, Branes and Dualities

Part of the book series: NATO ASI Series ((ASIC,volume 520))

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Abstract

Electromagnetic duality is an idea with a long pedigree that addresses a number of old questions, for example:

  • Why does space-time possess four dimensions?

  • Why is electric charge quantised?

  • What is the origin of mass?

  • What is the internal structure of the elementary particles?

  • How are quarks confined?

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References

  • Atiyah MF and Hitchin NJ 1985 Phys Lett 107A 21–25, “Low energy scattering of non-abelian monopoles”

    MathSciNet  ADS  Google Scholar 

  • Bogomolny EB 1976 Sov J Nucl Phys 24 449–454, “The stability of classical solutions”

    Google Scholar 

  • Brink L, Lindgren O and Nilsson BEW 1983 Phys Lett 123B 323–328 “The ultraviolet finiteness of the N = 4 Yang-Mills theory”

    ADS  Google Scholar 

  • Callias C 1978 Commun Math Phys 62 213–234, “Axial anomalies and index theorems on open spaces”

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Coleman S 1975 Phys Rev D11 2088–2097, “Quantum sine-Gordon equation as the massive Thirring model”

    ADS  Google Scholar 

  • Coleman S, Parke S, Neveu A, and Sommerfield CM 1977 Phys Rev D15(77) 544–545, “Can one dent a dyon?”

    ADS  Google Scholar 

  • D’Adda A, Horsley R and Di Vecchia P 1978 Phys Lett 76B 298–302 “Supersym-metric monopoles and dyons”

    ADS  Google Scholar 

  • Dirac PAM 1931 Proc Roy Soc A33 60–72, “Quantised singularities in the electromagnetic field”

    ADS  Google Scholar 

  • Englert F and Brout R 1964 Phys Rev Lett 13 321–323, “Broken symmetry and the mass of gauge vector bosons”

    Article  MathSciNet  ADS  Google Scholar 

  • Gibbons G and Manton N 1986 Nucl Phys B274 183–224, “Classical and quantum dynamics of monopoles”

    Article  MathSciNet  ADS  Google Scholar 

  • Gliozzi F, Scherk J and Olive DI 1977 Nucl Phys B122 253–290, “Supersymmetry, supergravity theories and the dual spinor model”

    Article  ADS  Google Scholar 

  • Goddard P, Nuyts, J and Olive DI 1977 Nucl Phys B125 1–28, “Gauge theories and magnetic charge”

    Article  MathSciNet  ADS  Google Scholar 

  • Goddard P and Olive DI 1978 Reports on Prog in Phys 41 1357–1437, “Magnetic monopoles in gauge field theories”

    Article  ADS  Google Scholar 

  • Goddard P and Olive DI 1986 Int J Mod Phys A1 303–414, “Kac-Moody and Virasoro algebras in relation to quantum physics”

    MathSciNet  ADS  Google Scholar 

  • Haag R, Lopuszanski JT and Sohnius M 1975 Nucl Phys B88 257–274, “All possible generators of supersymmetry of the S-matrix”

    Article  MathSciNet  ADS  Google Scholar 

  • Higgs P 1966 Phys Rev 145 1156–1163, “Spontaneous symmetry breakdown without massless bosons”

    Article  MathSciNet  ADS  Google Scholar 

  • ’t Hooft G 1974 Nucl Phys B79 276–284, “Magnetic monopoles in unified gauge theories”

    Article  ADS  Google Scholar 

  • Julia B and A Zee A 1975 Phys Rev D11 2227–2232, “Poles with both magnetic and electric charges in non-Abelian gauge theory”

    ADS  Google Scholar 

  • Kibble TWB 1967 Phys Rev 155 1554–1561, “Symmetry breaking in non-abelian gauge theories”

    Article  ADS  Google Scholar 

  • Mandelstam S 1975 Phys Rev D11 3026–3030, “Soliton operators for the quantized sine-Gordon equation”

    MathSciNet  ADS  Google Scholar 

  • Mandelstam S 1983 Nucl Phys B213 149–168, “Light-cone superspace and the ultraviolet finiteness of the N = 4 model”

    Article  MathSciNet  ADS  Google Scholar 

  • Manton N 1977 Nucl Phys B126(77) 525–541, “The force between’ t Hooft-Polyakov monopoles”

    Article  MathSciNet  ADS  Google Scholar 

  • Manton N 1982 Phys Lett HOB 54–56, “A remark on the scattering of BPS monopoles”

    MathSciNet  ADS  Google Scholar 

  • Montonen C and D Olive DI 1977 Phys Lett 72B 117–120, “Magnetic monopoles as gauge particles?”

    ADS  Google Scholar 

  • Nahm W 1978 Nucl Phys B135 149–166, “Supersymmetries and their representations”

    Article  ADS  Google Scholar 

  • Olive DI 1982 “Magnetic monopoles and electromagnetic duality conjectures”, 157–191 in “Monopoles in Quantum Field theory”, edited by NS Craigie, P Goddard and W Nahm (World Scientific)

    Google Scholar 

  • Osborn H 1979 Phys Lett 83B 321–326, “Topological charges for N = 4 supersym-metric gauge theories and monopoles of spin 1”

    ADS  Google Scholar 

  • Polyakov AM 1974 JETP Lett 20 194–195, “Particle spectrum in quantum field theory”

    ADS  Google Scholar 

  • Prasad MK and Sommerfield CM 1975 Phys Rev Lett 35(75) 760–762, “Exact classical solution for the’ t Hooft monopole and the Julia-Zee dyon”

    Article  ADS  Google Scholar 

  • Rossi P 1981 Phys Lett 99B 229–231, “N = 4 supersymmetric monopoles and the vanishing of the β function”

    ADS  Google Scholar 

  • Schwinger J 1969 Science 165 757–761, “A magnetic model of matter”

    Article  ADS  Google Scholar 

  • Segal G and Selby A 1996 Commun Math Phys 177 775–787, “The cohomology of the space of magnetic monopoles”

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Seiberg N and Witten E 1994a Nucl Phys B426 19–52, Erratum B430 485–486, “Electromagnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory”.

    Article  MathSciNet  ADS  Google Scholar 

  • Seiberg N and Witten E 1994b Nucl Phys B431 484–550, “Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD”

    Article  MathSciNet  ADS  Google Scholar 

  • Sen A 1994 Phys Lett 329B 217–221, “Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL(2, Z) invariance in string theory”

    ADS  Google Scholar 

  • Skyrme THR 1961 Proc Roy Soc A262 237–245, “Particle states of a quantized meson field”

    MathSciNet  ADS  Google Scholar 

  • Sohnius MF and West PC 1981 Phys Lett 100B 245–250, “Conformai invariance in N = 4 Yang-Mills theory”

    ADS  Google Scholar 

  • Weinberg E 1979 Phys Rev D20 936–944, “Parameter counting for multimonopole solutions”

    ADS  Google Scholar 

  • Witten E 1979 Phys Lett 86B 283–287, “Dyons of charge eθ/2π

    ADS  Google Scholar 

  • Witten E and Olive DI 1978 Phys Lett 78B 97–101, “Supersymmetry algebras that include topological charges”

    ADS  Google Scholar 

  • Wu TT and Yang CN 1975 Phys Rev D12 3845–3857, “Concept of non-integrable phase factors and global formulation of gauge fields”

    ADS  Google Scholar 

  • Zamolodchikov AB 1989 Advanced Studies in Pure Mathematics 19 642–674, “In-tegrable Field Theory from Conformai field Theory”

    MathSciNet  Google Scholar 

  • Zwanziger D 1968 Phys Rev 176 1489–1495, “Quantum field theory of particles with both electric and magnetic charges”

    Article  ADS  Google Scholar 

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Olive, D.I. (1999). Exact Electromagnetic Duality. In: Baulieu, L., Di Francesco, P., Douglas, M., Kazakov, V., Picco, M., Windey, P. (eds) Strings, Branes and Dualities. NATO ASI Series, vol 520. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4730-9_1

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  • DOI: https://doi.org/10.1007/978-94-011-4730-9_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5989-3

  • Online ISBN: 978-94-011-4730-9

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