Skip to main content
SpringerLink
Log in

\( \frac{1}{2} \)-BPS Domain wall from N = 10 three dimensional gauged supergravity

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We explicitly construct N = 10 Chern-Simons gaged supergravity in three dimensions with non-semisimple gauge group SO(5) ⋉ T 10. The gauge group is embedded in E 6(−14) which is the isometry group of the 32-dimensional scalar manifold E 6(−14)/SO(10) × U(1). The resulting theory is on-shell equivalent to SO(5) Yang-Mills gauged supergravity coming from dimensional reduction on S 1 of SO(5) N = 5 gauged supergravity in four dimensions. We discuss the spectrum of the corresponding reduction. The SO(5) ⋉ T 10 gauged supergravity, describing the reduced theory, admits a \( \frac{1}{2} \)-BPS domain wall vacuum solution whose explicit form is also given. This provides an example of a domain wall in non-maximal gauged supergravity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Article  MathSciNet  ADS  Google Scholar 

  2. H. Nicolai and H. Samtleben, N = 8 matter coupled AdS 3 supergravities, Phys. Lett. B 514 (2001) 165 [hep-th/0106153] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. P. Kraus, Lectures on black holes and the AdS 3 /CF T 2 correspondence, Lect. Notes Phys. 755 (2008) 193 [hep-th/0609074] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  4. B. de Wit, I. Herger and H. Samtleben, Gauged locally supersymmetric D = 3 nonlinear σ-models, Nucl. Phys. B 671 (2003) 175 [hep-th/0307006] [INSPIRE].

    Article  ADS  Google Scholar 

  5. H. Nicolai and H. Samtleben, Chern-Simons versus Yang-Mills gaugings in three-dimensions, Nucl. Phys. B 668 (2003) 167 [hep-th/0303213] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. H. Lü, C.N. Pope and E. Sezgin, SU(2) reduction of six-dimensional (1, 0) supergravity, Nucl. Phys. B 668 (2003) 237 [hep-th/0212323] [INSPIRE].

    Article  ADS  Google Scholar 

  7. H. Lü, C. Pope and E. Sezgin, Yang-Mills-Chern-Simons supergravity, Class. Quant. Grav. 21 (2004) 2733 [hep-th/0305242] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  8. E. Gava, P. Karndumri and K. Narain, 3D gauged supergravity from SU(2) reduction of N =1 6D supergravity, JHEP 09 (2010) 028[arXiv:1006.4997] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. E. O Colgain and H. Samtleben, 3D gauged supergravity from wrapped M 5-branes with AdS/CMT applications, JHEP 02 (2011) 031 [arXiv:1012.2145] [INSPIRE].

    Article  Google Scholar 

  10. T. Fischbacher, H. Nicolai and H. Samtleben, Nonsemisimple and complex gaugings of N =16 supergravity, Commun. Math. Phys. 249 (2004) 475 [hep-th/0306276] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. O. Hohm and H. Samtleben, Effective actions for massive Kaluza-Klein states on AdS 3 × S 3 × S 3, JHEP 05 (2005) 027 [hep-th/0503088] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. H. Nicolai and H. Samtleben, Kaluza-Klein supergravity on AdS 3 × S 3, JHEP 09 (2003) 036 [hep-th/0306202] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. P. Karndumri and E.O. Colgáin, 3D supergravity from wrapped D3-branes, JHEP 10 (2013) 094 [arXiv:1307.2086] [INSPIRE].

    Article  ADS  Google Scholar 

  14. B. de Wit and H. Nicolai, Extended supergravity with local SO(5) invariance, Nucl. Phys. B 188 (1981) 98 [INSPIRE].

    Article  ADS  Google Scholar 

  15. N.P. Warner, Some properties of the scalar potential in gauged supergravity theories, Nucl. Phys. B 231 (1984) 250 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  16. N. Bobev, A. Kundu, K. Pilch and N.P. Warner, Minimal holographic superconductors from maximal supergravity, JHEP 03 (2012) 064 [arXiv:1110.3454] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  17. A. Chatrabhuti and P. Karndumri, Vacua of N = 10 three dimensional gauged supergravity, Class. Quant. Grav. 28 (2011) 125027 [arXiv:1011.5355] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. H. Lü, C. Pope and P. Townsend, Domain walls from Anti-de Sitter space-time, Phys. Lett. B 391 (1997) 39 [hep-th/9607164] [INSPIRE].

    Article  ADS  Google Scholar 

  19. C.M. Hull, Domain wall and de Sitter solutions of gauged supergravity, JHEP 11 (2001) 061 [hep-th/0110048] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. G.W. Gibbons and C.M. Hull, De Sitter space from warped supergravity solutions, hep-th/0111072 [INSPIRE].

  21. H. Lü, C.N. Pope, E. Sezgin and K.S. Stelle, Dilatonic p-brane solitons, Phys. Lett. B 371 (1996) 46 [hep-th/9511203] [INSPIRE].

    Article  ADS  Google Scholar 

  22. K. Behrndt, E. Bergshoeff, R. Halbersma and J.P. van der Schaar, On domain wall/QFT dualities in various dimensions, Class. Quant. Grav. 16 (1999) 3517 [hep-th/9907006] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  23. E. Bergshoeff, M. Nielsen and D. Roest, The domain walls of gauged maximal supergravities and their M-theory origin, JHEP 07 (2004) 006 [hep-th/0404100] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. E.A. Bergshoeff, A. Kleinschmidt and F. Riccioni, Supersymmetric domain walls, Phys. Rev. D 86 (2012) 085043 [arXiv:1206.5697] [INSPIRE].

    ADS  Google Scholar 

  25. P. Karndumri, Domain walls in three dimensional gauged supergravity, JHEP 10 (2012) 001 [arXiv:1207.1027] [INSPIRE].

    Article  ADS  Google Scholar 

  26. T. Ortiz and H. Samtleben, SO(9) supergravity in two dimensions, JHEP 01 (2013) 183 [arXiv:1210.4266] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. H. Boonstra, K. Skenderis and P. Townsend, The domain wall/QFT correspondence, JHEP 01 (1999) 003 [hep-th/9807137] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  28. T. Gherghetta and Y. Oz, Supergravity, nonconformal field theories and brane worlds, Phys. Rev. D 65 (2002) 046001 [hep-th/0106255] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  29. I. Kanitscheider, K. Skenderis and M. Taylor, Precision holography for non-conformal branes, JHEP 09 (2008) 094 [arXiv:0807.3324] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  30. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  31. K. Skenderis and P.K. Townsend, Hidden supersymmetry of domain walls and cosmologies, Phys. Rev. Lett. 96 (2006) 191301 [hep-th/0602260] [INSPIRE].

    Article  ADS  Google Scholar 

  32. K. Skenderis and P.K. Townsend, Hamilton-Jacobi method for curved domain walls and cosmologies, Phys. Rev. D 74 (2006) 125008 [hep-th/0609056] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  33. K. Skenderis, P.K. Townsend and A. Van Proeyen, Domain-wall/cosmology correspondence in AdS/dS supergravity, JHEP 08 (2007) 036 [arXiv:0704.3918] [INSPIRE].

    Article  ADS  Google Scholar 

  34. B. de Wit, A. Tollsten and H. Nicolai, Locally supersymmetric D = 3 nonlinear σ-models, Nucl. Phys. B 392 (1993) 3 [hep-th/9208074] [INSPIRE].

    Article  ADS  Google Scholar 

  35. F. Bernardoni et al., Mapping the geometry of the F 4 group, Adv. Theor. Math. Phys. 12 (2008) 889 [arXiv:0705.3978].

    Article  MathSciNet  MATH  Google Scholar 

  36. F. Bernardoni, S.L. Cacciatori, B.L. Cerchiai and A. Scotti, Mapping the geometry of the E 6 group, J. Math. Phys. 49 (2008) 012107 [arXiv:0710.0356] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  37. N.P. Warner, Some new extrema of the scalar potential of gauged N = 8 supergravity, Phys. Lett. B 128 (1983) 169 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  38. R. Slansky, Group theory for unified model building, Phys. Rept. 79 (1981) 1 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  39. E. Cremmer, B. Julia, H. Lü and C. Pope, Higher dimensional origin of D = 3 coset symmetries, hep-th/9909099 [INSPIRE].

  40. J.F. Morales and H. Samtleben, Supergravity duals of matrix string theory, JHEP 08 (2002) 042 [hep-th/0206247] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  41. A. Chatrabhuti, P. Karndumri and B. Ngamwatthanakul, New gauged supergravities in three dimensions with N = 5, 6 supersymmetry and holography, to appear.

  42. L. Andrianopoli, R. D’Auria, S. Ferrara, P. Grassi and M. Trigiante, Exceptional N = 6 and N =2 AdS 4 supergravity and zero-center modules, JHEP 04 (2009) 074 [arXiv:0810.1214] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  43. A. Chatrabhuti, P. Karndumri and B. Ngamwatthanakul, 3D N = 6 gauged supergravity: admissible gauge groups, vacua and RG flows, JHEP 07 (2012) 057 [arXiv:1202.1043] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  44. A. Chatrabhuti and P. Karndumri, Vacua and RG flows in N = 9 three dimensional gauged supergravity, JHEP 10 (2010) 098 [arXiv:1007.5438] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  45. P. Karndumri, Gaugings of N = 4 three dimensional gauged supergravity with exceptional coset manifolds, JHEP 08 (2012) 007 [arXiv:1206.2150] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok, 10330, Thailand

    Parinya Karndumri

  2. Thailand Thailand Center of Excellence in Physics, CHE, Ministry of Education, Bangkok, 10400, Thailand

    Parinya Karndumri

Authors
  1. Parinya Karndumri
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Parinya Karndumri.

Additional information

ArXiv ePrint: 1307.6641

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karndumri, P. \( \frac{1}{2} \)-BPS Domain wall from N = 10 three dimensional gauged supergravity. J. High Energ. Phys. 2013, 23 (2013). https://doi.org/10.1007/JHEP11(2013)023

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP11(2013)023

Keywords

Search

Navigation