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G-structures and domain walls in heterotic theories

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Abstract

We consider heterotic string solutions based on a warped product of a four-dimensional domain wall and a six-dimensional internal manifold, preserving two supercharges. The constraints on the internal manifolds with SU(3) structure are derived. They are found to be generalized half-flat manifolds with a particular pattern of torsion classes and they include half-flat manifolds and Strominger’s complex non-Kahler manifolds as special cases. We also verify that previous heterotic compactifications on half-flat mirror manifolds are based on this class of solutions.

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References

  1. P. Candelas, G.T. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstrings, Nucl. Phys. B 258 (1985) 46 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  2. V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, A heterotic standard model, Phys. Lett. B 618 (2005) 252 [hep-th/0501070] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  3. V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, A standard model from the E 8 × E 8 heterotic superstring, JHEP 06 (2005) 039 [hep-th/0502155] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  4. V. Bouchard and R. Donagi, An SU(5) heterotic standard model, Phys. Lett. B 633 (2006) 783 [hep-th/0512149] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  5. L.B. Anderson, J. Gray, Y.-H. He and A. Lukas, Exploring positive monad bundles and a new heterotic standard model, JHEP 02 (2010) 054 [arXiv:0911.1569] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  6. S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  7. K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  8. A. Strominger, Superstrings with torsion, Nucl. Phys. B 274 (1986) 253 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  9. S. Gurrieri, A. Lukas and A. Micu, Heterotic on half-flat, Phys. Rev. D 70 (2004) 126009 [hep-th/0408121] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  10. S. Gurrieri, A. Lukas and A. Micu, Heterotic string compactifications on half-flat manifolds II, JHEP 12 (2007) 081 [arXiv:0709.1932] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  11. B. de Carlos, S. Gurrieri, A. Lukas and A. Micu, Moduli stabilisation in heterotic string compactifications, JHEP 03 (2006) 005 [hep-th/0507173] [SPIRES].

    Article  Google Scholar 

  12. S. Gurrieri, Compactifications on half-flat manifolds, Fortsch. Phys. 53 (2005) 278 [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. N.J. Hitchin, Stable forms and special metrics, in Proceedings of the Congress in memory of Alfred Gray, M. Fernandez and J. Wolf eds., AMS Contemporary Mathematics Series [math.DG/0107101] [SPIRES].

  14. S. Chiossi and S. Salamon, The intrinsic torsion of SU(3) and G2 structures, math.DG/0202282 [SPIRES].

  15. M. Graña, Flux compactifications in string theory: a comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [SPIRES].

    Article  ADS  Google Scholar 

  16. G. Lopes Cardoso et al., Non-Kähler string backgrounds and their five torsion classes, Nucl. Phys. B 652 (2003) 5 [hep-th/0211118] [SPIRES].

    Article  ADS  Google Scholar 

  17. U. Gran, P. Lohrmann and G. Papadopoulos, The spinorial geometry of supersymmetric heterotic string backgrounds, JHEP 02 (2006) 063 [hep-th/0510176] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  18. M.B. Green, J.H. Schwarz and E. Witten, Superstring theory. Volume 2: Loop amplitudes, anomalies and phenomenology, Cambridge University Press, Cambridge U.K. (1987) [SPIRES].

    MATH  Google Scholar 

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

    Google Scholar 

  20. I. Benmachiche, J. Louis and D. Martinez-Pedrera, The effective action of the heterotic string compactified on manifolds with SU(3) structure, Class. Quant. Grav. 25 (2008) 135006 [arXiv:0802.0410] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  21. T. Ali and G.B. Cleaver, The Ricci curvature of half-flat manifolds, JHEP 05 (2007) 009 [hep-th/0612171] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  22. T. Ali and G.B. Cleaver, A note on the standard embedding on half-flat manifolds, JHEP 07 (2008) 121 [arXiv:0711.3248] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  23. S. Gurrieri, J. Louis, A. Micu and D. Waldram, Mirror symmetry in generalized Calabi-Yau compactifications, Nucl. Phys. B 654 (2003) 61 [hep-th/0211102] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  24. S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four-folds, Nucl. Phys. B 584 (2000) 69 [Erratum ibid. B 608 (2001) 477] [hep-th/9906070] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  25. M. Falcitelli, A. Farinola and S. Salamon, Almost-Hermitian goemetry, Differ. Geom. Appl. 4 (1994) 259.

    Article  MATH  MathSciNet  Google Scholar 

  26. M. Eto and N. Sakai, Solvable models of domain walls in N = 1 supergravity, Phys. Rev. D 68 (2003) 125001 [hep-th/0307276] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  27. M. Cvetič and H.H. Soleng, Supergravity domain walls, Phys. Rept. 282 (1997) 159 [hep-th/9604090] [SPIRES].

    Article  ADS  Google Scholar 

  28. J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992) [SPIRES].

    Google Scholar 

  29. C. Mayer and T. Mohaupt, Domain walls, Hitchin’s flow equations and G 2 -manifolds, Class. Quant. Grav. 22 (2005) 379 [hep-th/0407198] [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  30. P. Smyth and S. Vaula, Domain wall flow equations and SU(3) × SU(3) structure compactifications, Nucl. Phys. B 828 (2010) 102 [arXiv:0905.1334] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  31. J.P. Gauntlett, D. Martelli, S. Pakis and D. Waldram, G-structures and wrapped NS5-branes, Commun. Math. Phys. 247 (2004) 421 [hep-th/0205050] [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  32. T. Friedrich and S. Ivanov, Killing spinor equations in dimension 7 and geometry of integrable G 2 -manifolds, math/0112201 [SPIRES].

  33. J. Held, D. Lüst, F. Marchesano and L. Martucci, DWSB in heterotic flux compactifications, JHEP 06 (2010) 090 [arXiv:1004.0867] [SPIRES].

    Article  ADS  Google Scholar 

  34. P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142] [SPIRES].

    ADS  Google Scholar 

  35. E. Witten, Strong coupling expansion of Calabi-Yau compactification, Nucl. Phys. B 471 (1996) 135 [hep-th/9602070] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  36. A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, The universe as a domain wall, Phys. Rev. D 59 (1999) 086001 [hep-th/9803235] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  37. P. Kaste, R. Minasian and A. Tomasiello, Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures, JHEP 07 (2003) 004 [hep-th/0303127] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  38. A. Lukas and P.M. Saffin, M-theory compactification, fluxes and AdS 4, Phys. Rev. D 71 (2005) 046005 [hep-th/0403235] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  39. P. Candelas and X. de la Ossa, Moduli space of Calabi-Yau manifolds, Nucl. Phys. B 355 (1991) 455 [SPIRES].

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Rudolf Peierls Center for Theoretical Physics, Oxford University, 1 Keble Road, Oxford, OX1 3NP, U.K.

    Andre Lukas & Cyril Matti

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  1. Andre Lukas
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  2. Cyril Matti
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Correspondence to Cyril Matti.

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ArXiv ePrint: 1005.5302

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Lukas, A., Matti, C. G-structures and domain walls in heterotic theories. J. High Energ. Phys. 2011, 151 (2011). https://doi.org/10.1007/JHEP01(2011)151

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  • DOI: https://doi.org/10.1007/JHEP01(2011)151

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