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BPS-like potential for compactifications of heterotic M-theory?

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Abstract

We analyze the possibility to rewrite the action of Horava-Witten theory in a BPS-like form, which means that it is given as a sum of squares of the supersymmetry conditions. To this end we compactify the theory on a seven dimensional manifold of SU(3) structure and rewrite the scalar curvature of the compactification manifold in terms of the SU(3) structure forms. This shows that a BPS-like form cannot be obtained in general, but only for certain types of compactifications.

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References

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

    MathSciNet  ADS  Google Scholar 

  2. S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [ inSPIRE].

    MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  4. G. Villadoro and F. Zwirner, N =1 effective potential from dual type-IIA D 6/O6 orientifolds with general fluxes, JHEP 06 (2005) 047 [hep-th/0503169] [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. M. Graña, Flux compactifications in string theory: A Comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [ inSPIRE].

    Article  ADS  Google Scholar 

  6. M.R. Douglas and S. Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733 [hep-th/0610102] [ inSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. R. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional String Compactifications with D-branes, Orientifolds and Fluxes, Phys. Rept. 445 (2007) 1 [hep-th/0610327] [ inSPIRE].

    Article  ADS  Google Scholar 

  8. P. Koerber, Lectures on Generalized Complex Geometry for Physicists, Fortsch. Phys. 59 (2011) 169 [arXiv:1006.1536] [ inSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. D. Lüst, F. Marchesano, L. Martucci and D. Tsimpis, Generalized non-supersymmetric flux vacua, JHEP 11 (2008) 021 [arXiv:0807.4540] [ inSPIRE].

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  12. P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven-dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [ inSPIRE].

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  15. S. Chiossi and S. Salamon, The intrinsic torsion of SU(3) and G 2 structures, math/0202282.

  16. R.L. Bryant, Some remarks on G 2 -structures, math/0305124.

  17. P. Candelas and D. Raine, Spontaneous compactification and supersymmetry in d = 11 supergravity, Nucl. Phys. B 248 (1984) 415 [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. 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] [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. G. Dall’Agata and N. Prezas, N =1 geometries for M-theory and type IIA strings with fluxes, Phys. Rev. D 69 (2004) 066004 [hep-th/0311146] [ inSPIRE].

    MathSciNet  ADS  Google Scholar 

  20. K. Behrndt and C. Jeschek, Fluxes in M-theory on seven manifolds: G structures and superpotential, Nucl. Phys. B 694 (2004) 99 [hep-th/0311119] [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. K. Behrndt and C. Jeschek, Fluxes in M-theory on seven manifolds and G structures, JHEP 04 (2003) 002 [hep-th/0302047] [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. K. Behrndt and C. Jeschek, Fluxes in M-theory on 7-manifolds: G 2 -, SU(3)-and SU(2)-structures, hep-th/0406138 [ inSPIRE].

  23. T. House and A. Micu, M-Theory compactifications on manifolds with G 2 structure, Class. Quant. Grav. 22 (2005) 1709 [hep-th/0412006] [ inSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. K. Behrndt, M. Cvetič and T. Liu, Classification of supersymmetric flux vacua in M-theory, Nucl. Phys. B 749 (2006) 25 [hep-th/0512032] [ inSPIRE].

    Article  ADS  Google Scholar 

  25. A. Micu, E. Palti and P. Saffin, M-theory on seven-dimensional manifolds with SU(3) structure, JHEP 05 (2006) 048 [hep-th/0602163] [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  26. L. Anguelova and K. Zoubos, Flux superpotential in heterotic M-theory, Phys. Rev. D 74 (2006) 026005 [hep-th/0602039] [ inSPIRE].

    MathSciNet  ADS  Google Scholar 

  27. E. Cremmer, B. Julia and J. Scherk, Supergravity Theory in Eleven-Dimensions, Phys. Lett. B 76 (1978) 409 [ inSPIRE].

    ADS  Google Scholar 

  28. A. Lukas, B.A. Ovrut and D. Waldram, The Ten-dimensional effective action of strongly coupled heterotic string theory, Nucl. Phys. B 540 (1999) 230 [hep-th/9801087] [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. E. Bergshoeff and M. de Roo, The quartic effective action of the heterotic string and supersymmetry, Nucl. Phys. B 328 (1989) 439 [ inSPIRE].

    Article  ADS  Google Scholar 

  30. G. Lopes Cardoso, G. Curio, G. Dall’Agata and D. Lüst, BPS action and superpotential for heterotic string compactifications with fluxes, JHEP 10 (2003) 004 [hep-th/0306088] [ inSPIRE].

    Article  ADS  Google Scholar 

  31. K. Becker, C. Bertinato, Y.-C. Chung and G. Guo, Supersymmetry breaking, heterotic strings and fluxes, Nucl. Phys. B 823 (2009) 428 [arXiv:0904.2932] [ inSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  32. C. Hull, Anomalies, ambiguities and superstrings, Phys. Lett. B 167 (1986) 51 [ inSPIRE].

    MathSciNet  ADS  Google Scholar 

  33. C. Hull, Compactifications of the heterotic superstring, Phys. Lett. B 178 (1986) 357 [ inSPIRE].

    MathSciNet  ADS  Google Scholar 

  34. K. Becker, M. Becker and J.H. Schwarz, String theory and M-theory: A modern introduction, Cambridge University Press, Cambridge U.K. (2007), pg. 739.

    MATH  Google Scholar 

  35. A. Sen, (2, 0) Supersymmetry and Space-Time Supersymmetry in the Heterotic String Theory, Nucl. Phys. B 278 (1986) 289 [ inSPIRE].

    Article  ADS  Google Scholar 

  36. J. Polchinski, String theory. Vol. 2: Superstring theory and beyond, Cambridge University Press, Cambridge U.K. (1998). pg 531.

    Book  Google Scholar 

  37. J. Held, Lifting heterotic DWSB, work in progress.

  38. F. Gliozzi, J. Scherk and D.I. Olive, Supersymmetry, Supergravity Theories and the Dual Spinor Model, Nucl. Phys. B 122 (1977) 253 [ inSPIRE].

    Article  ADS  Google Scholar 

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  1. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, München, Germany

    Johannes Held

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  1. Johannes Held
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Correspondence to Johannes Held.

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ArXiv ePrint: 1109.1974

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Held, J. BPS-like potential for compactifications of heterotic M-theory?. J. High Energ. Phys. 2011, 136 (2011). https://doi.org/10.1007/JHEP10(2011)136

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