Skip to main content
Springer Nature Link
Account
Menu
Find a journal Publish with us Track your research
Search
Cart
  1. Home
  2. Journal of High Energy Physics
  3. Article

Dyonic ISO(7) supergravity and the duality hierarchy

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 12 February 2016
  • Volume 2016, article number 79, (2016)
  • Cite this article
Download PDF

You have full access to this open access article

Journal of High Energy Physics Aims and scope Submit manuscript
Dyonic ISO(7) supergravity and the duality hierarchy
Download PDF
  • Adolfo Guarino1 &
  • Oscar Varela2,3 

  • 493 Accesses

  • 63 Citations

  • 1 Altmetric

  • Explore all metrics

A preprint version of the article is available at arXiv.

Abstract

Motivated by its well defined higher dimensional origin, a detailed study of D = 4 \( \mathcal{N}=8 \) supergravity with a dyonically gauged \( \mathrm{I}\mathrm{S}\mathrm{O}(7)=\mathrm{SO}(7)\ltimes {\mathbb{R}}^7 \) gauge group is performed. We write down the Lagrangian and describe the tensor and duality hierarchies, focusing on an interesting subsector with closed field equations and supersymmetry transformations. We then truncate the \( \mathcal{N}=8 \) theory to some smaller sectors with \( \mathcal{N}=2 \) and \( \mathcal{N}=1 \) supersymmetry and SU(3), G2 and SO(4) bosonic symmetry. Canonical and superpotential formulations for these sectors are given, and their vacuum structure and spectra is analysed. Unlike the purely electric ISO(7) gauging, the dyonic gauging displays a rich structure of vacua, all of them AdS. We recover all previously known ones and find a new \( \mathcal{N}=1 \) vacuum with SU(3) symmetry and various non-supersymmetric vacua, all of them stable within the full \( \mathcal{N}=8 \) theory.

Article PDF

Download to read the full article text

Similar content being viewed by others

Gauged D = 4 \( \mathcal{N} \) = 4 supergravity

Article Open access 12 September 2023

Halving ISO(7) supergravity

Article Open access 25 November 2019

On the U(1)2-Invariant Sector of Dyonic Maximal Supergravity

Article 23 August 2018
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

References

  1. G. Dall’Agata, G. Inverso and M. Trigiante, Evidence for a family of SO(8) gauged supergravity theories, Phys. Rev. Lett. 109 (2012) 201301 [arXiv:1209.0760] [INSPIRE].

    Article  ADS  Google Scholar 

  2. G. Dall’Agata, G. Inverso and A. Marrani, Symplectic Deformations of Gauged Maximal Supergravity, JHEP 07 (2014) 133 [arXiv:1405.2437] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  3. G. Dall’Agata and G. Inverso, On the Vacua of N = 8 Gauged Supergravity in 4 Dimensions, Nucl. Phys. B 859 (2012) 70 [arXiv:1112.3345] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  4. A. Borghese, A. Guarino and D. Roest, All G 2 invariant critical points of maximal supergravity, JHEP 12 (2012) 108 [arXiv:1209.3003] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  5. A. Borghese, G. Dibitetto, A. Guarino, D. Roest and O. Varela, The SU(3)-invariant sector of new maximal supergravity, JHEP 03 (2013) 082 [arXiv:1211.5335] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  6. A. Borghese, A. Guarino and D. Roest, Triality, Periodicity and Stability of SO(8) Gauged Supergravity, JHEP 05 (2013) 107 [arXiv:1302.6057] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  7. A. Guarino, On new maximal supergravity and its BPS domain-walls, JHEP 02 (2014) 026 [arXiv:1311.0785] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  8. J. Tarrío and O. Varela, Electric/magnetic duality and RG flows in AdS4/CFT3, JHEP 01 (2014) 071 [arXiv:1311.2933] [INSPIRE].

  9. Y. Pang, C.N. Pope and J. Rong, Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) gauged \( \mathcal{N} \) = 8 supergravity, JHEP 08 (2015) 122 [arXiv:1506.04270] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  10. A. Anabalon and D. Astefanesei, Black holes in ω-defomed gauged N = 8 supergravity, Phys. Lett. B 732 (2014) 137 [arXiv:1311.7459] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  11. S. Cremonini, Y. Pang, C.N. Pope and J. Rong, Superfluid and metamagnetic phase transitions in ω-deformed gauged supergravity, JHEP 04 (2015) 074 [arXiv:1411.0010] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  12. H. Lü, Y. Pang and C.N. Pope, An ω deformation of gauged STU supergravity, JHEP 04 (2014) 175 [arXiv:1402.1994] [INSPIRE].

    Article  ADS  Google Scholar 

  13. G. Dall’Agata and G. Inverso, de Sitter vacua in N = 8 supergravity and slow-roll conditions, Phys. Lett. B 718 (2013) 1132 [arXiv:1211.3414] [INSPIRE].

  14. H. Kodama and M. Nozawa, Inflation in maximal gauged supergravities, JCAP 05 (2015) 028 [arXiv:1502.01378] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Guarino, D.L. Jafferis and O. Varela, String Theory Origin of Dyonic N = 8 Supergravity and Its Chern-Simons Duals, Phys. Rev. Lett. 115 (2015) 091601 [arXiv:1504.08009] [INSPIRE].

    Article  ADS  Google Scholar 

  16. A. Guarino and O. Varela, Consistent \( \mathcal{N} \) = 8 truncation of massive IIA on S 6, JHEP 12 (2015) 020 [arXiv:1509.02526] [INSPIRE].

    Article  ADS  Google Scholar 

  17. L.J. Romans, Massive N = 2a Supergravity in Ten-Dimensions, Phys. Lett. B 169 (1986) 374 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  18. J.H. Schwarz, Superconformal Chern-Simons theories, JHEP 11 (2004) 078 [hep-th/0411077] [INSPIRE].

    Article  ADS  Google Scholar 

  19. K. Lee, C. Strickland-Constable and D. Waldram, New gaugings and non-geometry, arXiv:1506.03457 [INSPIRE].

  20. B. de Wit and H. Nicolai, N = 8 Supergravity, Nucl. Phys. B 208 (1982) 323 [INSPIRE].

    Article  ADS  Google Scholar 

  21. C.M. Hull, A New Gauging of N = 8 Supergravity, Phys. Rev. D 30 (1984) 760 [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  22. B. de Wit, H. Samtleben and M. Trigiante, The maximal D = 4 supergravities, JHEP 06 (2007) 049 [arXiv:0705.2101] [INSPIRE].

    Article  Google Scholar 

  23. B. de Wit, H. Samtleben and M. Trigiante, Magnetic charges in local field theory, JHEP 09 (2005) 016 [hep-th/0507289] [INSPIRE].

    Article  Google Scholar 

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

    Article  Google Scholar 

  25. B. de Wit and H. Samtleben, The end of the p-form hierarchy, JHEP 08 (2008) 015 [arXiv:0805.4767] [INSPIRE].

    Article  Google Scholar 

  26. E.A. Bergshoeff, J. Hartong, O. Hohm, M. Huebscher and T. Ortín, Gauge Theories, Duality Relations and the Tensor Hierarchy, JHEP 04 (2009) 123 [arXiv:0901.2054] [INSPIRE].

  27. J. Hartong, M. Hubscher and T. Ortín, The supersymmetric tensor hierarchy of N = 1, d=4 supergravity, JHEP 06 (2009) 090 [arXiv:0903.0509] [INSPIRE].

  28. M. Huebscher, T. Ortín and C.S. Shahbazi, The Tensor Hierarchies of Pure N = 2, d=4,5,6 Supergravities, JHEP 11 (2010) 130 [arXiv:1006.4457] [INSPIRE].

    Article  ADS  Google Scholar 

  29. G. Dibitetto, A. Guarino and D. Roest, Charting the landscape of N = 4 flux compactifications, JHEP 03 (2011) 137 [arXiv:1102.0239] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  30. A. Gallerati, H. Samtleben and M. Trigiante, The \( \mathcal{N} \) > 2 supersymmetric AdS vacua in maximal supergravity, JHEP 12 (2014) 174 [arXiv:1410.0711] [INSPIRE].

    Article  ADS  Google Scholar 

  31. J. Louis and A. Micu, Type 2 theories compactified on Calabi-Yau threefolds in the presence of background fluxes, Nucl. Phys. B 635 (2002) 395 [hep-th/0202168] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  32. C.M. Hull and N.P. Warner, Noncompact Gaugings From Higher Dimensions, Class. Quant. Grav. 5 (1988) 1517 [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. E. Cremmer and B. Julia, The SO(8) Supergravity, Nucl. Phys. B 159 (1979) 141 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  34. N.P. Warner, Some New Extrema of the Scalar Potential of Gauged N = 8 Supergravity, Phys. Lett. B 128 (1983) 169 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  35. C.-h. Ahn and K. Woo, Supersymmetric domain wall and RG flow from 4-dimensional gauged N = 8 supergravity, Nucl. Phys. B 599 (2001) 83 [hep-th/0011121] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  36. N. Bobev, N. Halmagyi, K. Pilch and N.P. Warner, Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points, Class. Quant. Grav. 27 (2010) 235013 [arXiv:1006.2546] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  37. J.P. Gauntlett, S. Kim, O. Varela and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes, JHEP 04 (2009) 102 [arXiv:0901.0676] [INSPIRE].

    Article  ADS  Google Scholar 

  38. D. Cassani, P. Koerber and O. Varela, All homogeneous N = 2 M-theory truncations with supersymmetric AdS 4 vacua, JHEP 11 (2012) 173 [arXiv:1208.1262] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  39. C.-h. Ahn and K.-s. Woo, Domain wall and membrane flow from other gauged D = 4, N = 8 supergravity. Part 1, Nucl. Phys. B 634 (2002) 141 [hep-th/0109010] [INSPIRE].

  40. C.-h. Ahn and K.-s. Woo, Domain wall from gauged D = 4, N = 8 supergravity. Part 2, JHEP 11 (2003) 014 [hep-th/0209128] [INSPIRE].

  41. C.M. Hull, Noncompact Gaugings of N = 8 Supergravity, Phys. Lett. B 142 (1984) 39 [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  42. N. Bobev, N. Halmagyi, K. Pilch and N.P. Warner, Holographic, N = 1 Supersymmetric RG Flows on M2 Branes, JHEP 09 (2009) 043 [arXiv:0901.2736] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  43. J. Michelson, Compactifications of type IIB strings to four-dimensions with nontrivial classical potential, Nucl. Phys. B 495 (1997) 127 [hep-th/9610151] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  44. K. Hristov, H. Looyestijn and S. Vandoren, Maximally supersymmetric solutions of D = 4 N =2 gauged supergravity, JHEP 11 (2009) 115 [arXiv:0909.1743] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  45. J. Louis, P. Smyth and H. Triendl, Supersymmetric Vacua in N = 2 Supergravity, JHEP 08 (2012) 039 [arXiv:1204.3893] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  46. J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [INSPIRE].

    Article  ADS  Google Scholar 

  47. B. de Wit and H. Nicolai, Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions, JHEP 05 (2013) 077 [arXiv:1302.6219] [INSPIRE].

    Article  Google Scholar 

  48. J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications, JHEP 10 (2005) 085 [hep-th/0508133] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  49. G. Aldazabal, P.G. Camara, A. Font and L.E. Ibáñez, More dual fluxes and moduli fixing, JHEP 05 (2006) 070 [hep-th/0602089] [INSPIRE].

    Article  ADS  Google Scholar 

  50. G. Dibitetto, A. Guarino and D. Roest, Exceptional Flux Compactifications, JHEP 05 (2012) 056 [arXiv:1202.0770] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  51. G. Dibitetto, A. Guarino and D. Roest, How to halve maximal supergravity, JHEP 06 (2011) 030 [arXiv:1104.3587] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  52. J.-P. Derendinger, C. Kounnas, P.M. Petropoulos and F. Zwirner, Superpotentials in IIA compactifications with general fluxes, Nucl. Phys. B 715 (2005) 211 [hep-th/0411276] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  53. B. de Wit and H. Samtleben, Gauged maximal supergravities and hierarchies of nonAbelian vector-tensor systems, Fortsch. Phys. 53 (2005) 442 [hep-th/0501243] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  54. H. Samtleben, Lectures on Gauged Supergravity and Flux Compactifications, Class. Quant. Grav. 25 (2008) 214002 [arXiv:0808.4076] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

Download references

Open Access

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.

Author information

Authors and Affiliations

  1. Nikhef Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands

    Adolfo Guarino

  2. Center for the Fundamental Laws of Nature, Harvard University, Cambridge, MA, 02138, U.S.A.

    Oscar Varela

  3. Centre de Physique Théorique, Ecole Polytechnique, CNRS UMR 7644, 91128, Palaiseau Cedex, France

    Oscar Varela

Authors
  1. Adolfo Guarino
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Oscar Varela
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Adolfo Guarino.

Additional information

ArXiv ePrint: 1508.04432

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Guarino, A., Varela, O. Dyonic ISO(7) supergravity and the duality hierarchy. J. High Energ. Phys. 2016, 79 (2016). https://doi.org/10.1007/JHEP02(2016)079

Download citation

  • Received: 16 September 2015

  • Revised: 23 December 2015

  • Accepted: 10 January 2016

  • Published: 12 February 2016

  • DOI: https://doi.org/10.1007/JHEP02(2016)079

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Supersymmetry and Duality
  • Extended Supersymmetry
  • Supergravity Models
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us
  • Track your research

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Journal finder
  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support
  • Cancel contracts here

Not affiliated

Springer Nature

© 2024 Springer Nature