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Higher derivative couplings in supergravity

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

We review the construction of the N = 2 supersymmetric completion of a scalar curvature squared term given in [1] both in superspace and components in a completely gauge independent form.

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References

  1. S. M. Kuzenko and J. Novak, “On curvature squared terms in N = 2 supergravity,” Phys. Rev. D: Part. Fields 92, 085033 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  2. R. Utiyama and B. S. DeWitt, “Renormalization of a classical gravitational field interacting with quantized matter fields,” J. Math. Phys. 3, 608–618 (1962).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. K. S. Stelle, “Renormalization of higher derivative quantum gravity,” Phys. Rev. D: Part. Fields 16, 953–969 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  4. A. A. Starobinsky, “A new type of isotropic cosmological models without singularity,” Phys. Lett. B 91, 99–102 (1980).

    Article  ADS  Google Scholar 

  5. E. S. Fradkin and A. A. Tseytlin, “Effective field theory from quantized strings,” Phys. Lett. B 158, 316–322 (1985).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. L. Alvarez-Gaume, A. Kehagias, C. Kounnas, D. Lüst, and A. Riotto, “Aspects of quadratic gravity,” Fortsch. Phys. 64, 176–189 (2016).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. S. Ferrara, A. Kehagias, and M. Porrati, “supergravity,” J. High Energy Phys. 1508, 001 (2015).

    Article  ADS  Google Scholar 

  8. E. Bergshoeff, M. de Roo, and B. de Wit, “Extended conformal supergravity,” Nucl. Phys. B 182, 173–204 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  9. D. Butter, B. de Wit, S. M. Kuzenko, and I. Lodato, “New higher-derivative invariants in N = 2 supergravity and the gauss-bonnet term,” J. High Energy Phys. 1312, 062 (2013).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. S. V. Ketov, “Starobinsky model in N = 2 supergravity,” Phys. Rev. D 89, 085042 (2014).

    Article  ADS  Google Scholar 

  11. A. Ceresole, G. dall’Agata, S. Ferrara, M. Trigiante, and A. van Proeyen, “A search for an = 2 inflaton potential,” Fortsch. Phys. 62, 584–606 (2014).

    Article  ADS  MATH  Google Scholar 

  12. M. Ozkan and Y. Pang, “All off-shell R2 invariants in five dimensional = 2 supergravity,” J. High Energy Phys. 1308, 042 (2013).

    Article  ADS  MATH  Google Scholar 

  13. D. Butter, S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, “Conformal supergravity in five dimensions: new approach and applications,” J. High Energy Phys. 1502, 111 (2015).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. S. M. Kuzenko, U. Lindström, M. Rocek, and G. Tartaglino-Mazzucchelli, “4D N = 2 supergravity and projective superspace,” J. High Energy Phys. 0809, 051 (2008).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  15. R. Grimm, “Solution of the bianchi identities in SU(2) extended superspace with constraints,” in Unification of the Fundamental Particle Interactions (Plenum, New York, 1980), pp. 509–523.

  16. S. M. Kuzenko and G. Tartaglino-Mazzucchelli, “Different representations for the action principle in 4D N = 2 supergravity,” J. High Energy Phys. 0904, 007 (2009).

    Article  ADS  MathSciNet  Google Scholar 

  17. M. Müller, Lect. Notes Phys. 336 (1989).

    Google Scholar 

  18. B. de Wit, R. Philippe, and A. van Proeyen, “The improved tensor multiplet in N = 2 supergravity,” Nucl. Phys. B 219, 143–166 (1983).

    Article  ADS  Google Scholar 

  19. P. Breitenlohner and M. F. Sohnius, “Superfields, auxiliary fields, and tensor calculus for N = 2 extended supergravity,” Nucl. Phys. B 165, 483–510 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  20. P. S. Howe, K. S. Stelle, and P. K. Townsend, “Supercurrents,” Nucl. Phys. B 192, 332–352 (1981).

    Article  ADS  Google Scholar 

  21. M. Müller, “Chiral actions for minimal N = 2 supergravity,” Nucl. Phys. B 289, 557–572 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  22. D. Butter, “N = 2 conformal superspace in four dimensions,” J. High Energy Phys. 1110, 030 (2011).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. D. Butter and S. M. Kuzenko, “New higher-derivative couplings in 4D N = 2 supergravity,” J. High Energy Phys. 1103, 047 (2011).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. D. Butter and J. Novak, “Component reduction in N = 2 supergravity: the vector, tensor, and vector-tensor multiplets,” J. High Energy Phys. 1205, 115 (2012).

    Article  ADS  MathSciNet  MATH  Google Scholar 

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Correspondence to Sergei M. Kuzenko.

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The article is published in the original.

Based on the talk presented by SMK at SQS’15 (JINR, Dubna, Russia, 3–8 August, 2015).

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Kuzenko, S.M., Novak, J. Higher derivative couplings in supergravity. Phys. Part. Nuclei Lett. 14, 271–276 (2017). https://doi.org/10.1134/S1547477117020170

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  • DOI: https://doi.org/10.1134/S1547477117020170

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