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Gauge Fields and Singletons of AdS2p+1

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Abstract

We show that p-forms on AdS2p+1 describe both singletons and massless particles. On the 2p-dimensional boundary the singleton p-form Lagrangian reduces to the conformally invariant functional ∫ F2. All the representations, singletons as well as massless, are zero center modules and involve a vacuum mode. Two- and three-form singleton fields are required by supersymmetry in AdS5 and AdS7 supergravity, respectively.

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References

  1. Fronsdal, C.: Phys. Rev. D 26(1982), 1988. Bars, I. and Günaydin, M.: Comm. Math. Phys. 87(1982), 159; 91, (1983); Blencowe, M. P. and Duff, M. J.: Phys. Lett. B 203(1988), 229; Nicolai, H., Sezgin, E. and Tanii, Y.: Nuclear Phys. B 305(1988), 483; Bergshoeff, E., Salam, A., Sezgin, E. and Tanii, Y.: Nuclear Phys. B 305(1988), 497; Phys. Lett. B 205(1988), 237; Günaydin, M. and Minic, D.: hep-th/9802047; Günaydin, M.: hep-th/9803138.

    Google Scholar 

  2. Ferrara, S., Frønsdal, C. and Zaffaroni, A.: hep-th/9802203, to appear in Nuclear Phys. B.

  3. Günaydin, M., Romans, L. J. and Warner, N. P.: Phys. Lett. B 154(1985), 268; Günaydin, M. and Marcus, N. Classical Quantum Gravity 2(1985), L11; Kim, H. J., Romans, L. J. and van Nieuwenhuizen, P.: Phys. Rev. D 32(1985), 389.

    Google Scholar 

  4. Pernici, M., Pilch, K. and Van Nieuwenhuizen, P.: Phys. Lett. B 154(1984), 103; Günaydin, M., Van Nieuwenhuizen, P. and Warner, N. P.: Nuclear Phys. B 255(1985), 63.

    Google Scholar 

  5. Ferrara, S. and Frønsdal, C.: hep-th/9712239, to appear in Classical Quantum Gravity.

  6. Ferrara, S. and Frønsdal, C.: hep-th/9802126, to appear in Phys. Lett.

  7. Flato, M. and Fronsdal, C.: in: C. Frønsdal (ed.), Essays in Supersymmetry, Math. Phys. Stud. 8, D. Reidel, Dordrecht, 1986.

    Google Scholar 

  8. Binegar, B., Fronsdal, C. and Heidenreich, W.: J. Math. Phys. 24(1983), 2828.

    Google Scholar 

  9. Flato, M. and Frønsdal, C.: Lett. Math. Phys. 44(1988), 249.

    Google Scholar 

  10. Flato, M. and Frønsdal, C.: J. Math. Phys. 22(1981), 1100.

    Google Scholar 

  11. Frønsdal, C.: Phys. Rev. D 26(1982), 1988.

    Google Scholar 

  12. Flato, M. and Frønsdal, C.: Comm. Math. Phys. 108(1987), 145.

    Google Scholar 

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Authors and Affiliations

  1. CERN, Geneva, Switzerland

    Segrio Ferrara

  2. Physics Department, University of California, Los Angeles, CA, 90090-1547, U.S.A.

    Christian Frønsdal

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  1. Segrio Ferrara
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  2. Christian Frønsdal
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Ferrara, S., Frønsdal, C. Gauge Fields and Singletons of AdS2p+1. Letters in Mathematical Physics 46, 157–169 (1998). https://doi.org/10.1023/A:1007569031648

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