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Wrapping rules (in) string theory
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  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 11 January 2018

Wrapping rules (in) string theory

  • Eric A. Bergshoeff1 &
  • Fabio Riccioni2 

Journal of High Energy Physics volume 2018, Article number: 46 (2018) Cite this article

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A preprint version of the article is available at arXiv.

Abstract

In this paper we show that the number of all 1/2-BPS branes in string theory compactified on a torus can be derived by universal wrapping rules whose formulation we present. These rules even apply to branes in less than ten dimensions whose ten-dimensional origin is an exotic brane. In that case the wrapping rules contain an additional combinatorial factor that is related to the highest dimension in which the ten-dimensional exotic brane, after compactification, can be realized as a standard brane. We show that the wrapping rules also apply to cases with less supersymmetry. As a specific example, we discuss the compactification of IIA/IIB string theory on (T4/ℤ2) × Tn.

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References

  1. C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. J. Polchinski, String theory. Volume 1: An introduction to the bosonic string, Cambridge University Press, Cambridge U.K. (1998).

  4. J. Polchinski, String theory. Volume 2: Superstring theory and beyond, Cambridge University Press, Cambridge U.K. (1998).

  5. K. Becker, M. Becker and J.H. Schwarz, String theory and M-theory: A modern introduction, Cambridge University Press, Cambridge U.K. (2007).

  6. A. Kleinschmidt, I. Schnakenburg and P.C. West, Very extended Kac-Moody algebras and their interpretation at low levels, Class. Quant. Grav. 21 (2004) 2493 [hep-th/0309198] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. P.C. West, E 11 and M-theory, Class. Quant. Grav. 18 (2001) 4443 [hep-th/0104081] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  8. E.A. Bergshoeff, M. de Roo, S.F. Kerstan and F. Riccioni, IIB supergravity revisited, JHEP 08 (2005) 098 [hep-th/0506013] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  9. E.A. Bergshoeff, M. de Roo, S.F. Kerstan, T. Ortín and F. Riccioni, IIA ten-forms and the gauge algebras of maximal supergravity theories, JHEP 07 (2006) 018 [hep-th/0602280] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  10. E.A. Bergshoeff, J. Hartong, P.S. Howe, T. Ortín and F. Riccioni, IIA/IIB Supergravity and Ten-forms, JHEP 05 (2010) 061 [arXiv:1004.1348] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. F. Riccioni and P.C. West, The E 11 origin of all maximal supergravities, JHEP 07 (2007) 063 [arXiv:0705.0752] [INSPIRE].

    Article  ADS  Google Scholar 

  12. E.A. Bergshoeff, I. De Baetselier and T.A. Nutma, E 11 and the embedding tensor, JHEP 09 (2007) 047 [arXiv:0705.1304] [INSPIRE].

    Article  ADS  Google Scholar 

  13. B. de Wit, H. Nicolai and H. Samtleben, Gauged Supergravities, Tensor Hierarchies and M-theory, JHEP 02 (2008) 044 [arXiv:0801.1294] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  14. H. Nicolai and H. Samtleben, Maximal gauged supergravity in three-dimensions, Phys. Rev. Lett. 86 (2001) 1686 [hep-th/0010076] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  15. B. de Wit, H. Samtleben and M. Trigiante, On Lagrangians and gaugings of maximal supergravities, Nucl. Phys. B 655 (2003) 93 [hep-th/0212239] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  16. E.A. Bergshoeff and F. Riccioni, D-Brane Wess-Zumino Terms and U-duality, JHEP 11 (2010) 139 [arXiv:1009.4657] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. E.A. Bergshoeff and F. Riccioni, The D-brane U-scan, Proc. Symp. Pure Math. 85 (2012) 313 [arXiv:1109.1725] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  18. E.A. Bergshoeff, A. Marrani and F. Riccioni, Brane orbits, Nucl. Phys. B 861 (2012) 104 [arXiv:1201.5819] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. E.A. Bergshoeff, F. Riccioni and L. Romano, Branes, Weights and Central Charges, JHEP 06 (2013) 019 [arXiv:1303.0221] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  20. A. Kleinschmidt, Counting supersymmetric branes, JHEP 10 (2011) 144 [arXiv:1109.2025] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  21. E.A. Bergshoeff and F. Riccioni, String Solitons and T-duality, JHEP 05 (2011) 131 [arXiv:1102.0934] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. E.A. Bergshoeff and F. Riccioni, Branes and wrapping rules, Phys. Lett. B 704 (2011) 367 [arXiv:1108.5067] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  23. E.A. Bergshoeff, T. Ortín and F. Riccioni, Defect Branes, Nucl. Phys. B 856 (2012) 210 [arXiv:1109.4484] [INSPIRE].

  24. S. Elitzur, A. Giveon, D. Kutasov and E. Rabinovici, Algebraic aspects of matrix theory on T d, Nucl. Phys. B 509 (1998) 122 [hep-th/9707217] [INSPIRE].

  25. N.A. Obers and B. Pioline, U-duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  26. E. Lozano-Tellechea and T. Ortín, 7-branes and higher Kaluza-Klein branes, Nucl. Phys. B 607 (2001) 213 [hep-th/0012051] [INSPIRE].

  27. J. de Boer and M. Shigemori, Exotic branes and non-geometric backgrounds, Phys. Rev. Lett. 104 (2010) 251603 [arXiv:1004.2521] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  28. J. de Boer and M. Shigemori, Exotic Branes in String Theory, Phys. Rept. 532 (2013) 65 [arXiv:1209.6056] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. E.A. Bergshoeff and F. Riccioni, Dual doubled geometry, Phys. Lett. B 702 (2011) 281 [arXiv:1106.0212] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  30. D.M. Lombardo, F. Riccioni and S. Risoli, P fluxes and exotic branes, JHEP 12 (2016) 114 [arXiv:1610.07975] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. G. Pradisi and F. Riccioni, Non-geometric orbifolds and wrapping rules, JHEP 09 (2014) 170 [arXiv:1407.5576] [INSPIRE].

    Article  ADS  Google Scholar 

  32. E.A. Bergshoeff and F. Riccioni, Heterotic wrapping rules, JHEP 01 (2013) 005 [arXiv:1210.1422] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. E.A. Bergshoeff, C. Condeescu, G. Pradisi and F. Riccioni, Heterotic-Type II duality and wrapping rules, JHEP 12 (2013) 057 [arXiv:1311.3578] [INSPIRE].

    Article  ADS  Google Scholar 

  34. E.A. Bergshoeff, F. Riccioni and L. Romano, Towards a classification of branes in theories with eight supercharges, JHEP 05 (2014) 070 [arXiv:1402.2557] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  35. W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev. D 48 (1993) 2826 [hep-th/9305073] [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  36. C. Hull and B. Zwiebach, Double Field Theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  37. O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  38. E.A. Bergshoeff, O. Hohm, V.A. Penas and F. Riccioni, Dual Double Field Theory, JHEP 06 (2016) 026 [arXiv:1603.07380] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  39. C.M. Hull, Strongly coupled gravity and duality, Nucl. Phys. B 583 (2000) 237 [hep-th/0004195] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  40. X. Bekaert, N. Boulanger and M. Henneaux, Consistent deformations of dual formulations of linearized gravity: A No go result, Phys. Rev. D 67 (2003) 044010 [hep-th/0210278] [INSPIRE].

  41. X. Bekaert, N. Boulanger and S. Cnockaert, No self-interaction for two-column massless fields, J. Math. Phys. 46 (2005) 012303 [hep-th/0407102] [INSPIRE].

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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, Groningen, 9747 AG, The Netherlands

    Eric A. Bergshoeff

  2. INFN Sezione di Roma, Dipartimento di Fisica, Università di Roma “La Sapienza”, Piazzale Aldo Moro 2, Roma, 00185, Italy

    Fabio Riccioni

Authors
  1. Eric A. Bergshoeff
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  2. Fabio Riccioni
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Correspondence to Eric A. Bergshoeff.

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ArXiv ePrint: 1710.00642

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Bergshoeff, E.A., Riccioni, F. Wrapping rules (in) string theory. J. High Energ. Phys. 2018, 46 (2018). https://doi.org/10.1007/JHEP01(2018)046

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  • Received: 13 October 2017

  • Accepted: 31 December 2017

  • Published: 11 January 2018

  • DOI: https://doi.org/10.1007/JHEP01(2018)046

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Keywords

  • String Duality
  • p-branes
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