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Heterotic type IIA duality with fluxes — towards the complete story

  • Andrei Micu
Article

Abstract

In this paper we study the heterotic type IIA duality when fluxes are turned on. We show that many of the known fluxes are dual to each other and claim that certain fluxes on the heterotic side require that the type IIA picture is lifted to M or even F-theory compactifications with geometric fluxes.

Keywords

Flux compactifications String Duality 

References

  1. [1]
    K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  2. [2]
    K. Becker and S. Sethi, Torsional Heterotic Geometries, Nucl. Phys. B 820 (2009) 1 [arXiv:0903.3769] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  3. [3]
    J. McOrist, D.R. Morrison and S. Sethi, Geometries, Non-Geometries and Fluxes, arXiv:1004.5447 [SPIRES].
  4. [4]
    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].CrossRefMathSciNetADSGoogle Scholar
  5. [5]
    S. Gurrieri and A. Micu, Type IIB theory on half-flat manifolds, Class. Quant. Grav. 20 (2003) 2181 [hep-th/0212278] [SPIRES].MATHCrossRefMathSciNetADSGoogle Scholar
  6. [6]
    S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications, JHEP 03 (2003) 061 [hep-th/0211182] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  7. [7]
    M. Graña, R. Minasian, M. Petrini and A. Tomasiello, Supersymmetric backgrounds from generalized Calabi-Yau manifolds, JHEP 08 (2004) 046 [hep-th/0406137] [SPIRES].CrossRefADSGoogle Scholar
  8. [8]
    M. Graña, R. Minasian, M. Petrini and A. Tomasiello, Type II strings and generalized Calabi-Yau manifolds, Comptes Rendus Physique 5 (2004) 979 [hep-th/0409176] [SPIRES].MathSciNetADSGoogle Scholar
  9. [9]
    M. Graña, J. Louis and D. Waldram, Hitchin functionals in N =2 supergravity, JHEP 01 (2006) 008 [hep-th/0505264] [SPIRES].CrossRefADSGoogle Scholar
  10. [10]
    M. Graña, J. Louis and D. Waldram, SU(3)×SU(3) compactification and mirror duals of magnetic fluxes, JHEP 04 (2007) 101 [hep-th/0612237] [SPIRES].CrossRefADSGoogle Scholar
  11. [11]
    M. Graña, R. Minasian, M. Petrini and D. Waldram, T-duality, Generalized Geometry and Non-Geometric Backgrounds, JHEP 04 (2009) 075 [arXiv:0807.4527] [SPIRES].CrossRefADSGoogle Scholar
  12. [12]
    P. Grange and S. Schäfer-Nameki, T -duality with H-flux: Non-commutativity, T -folds and G x G structure, Nucl. Phys. B 770 (2007) 123 [hep-th/0609084] [SPIRES].CrossRefADSGoogle Scholar
  13. [13]
    C.M. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  14. [14]
    A. Dabholkar and C. Hull, Generalised T -duality and non-geometric backgrounds, JHEP 05 (2006) 009 [hep-th/0512005] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  15. [15]
    C.M. Hull, Global Aspects of T -duality, Gauged σ-models and T -Folds, JHEP 10 (2007) 057 [hep-th/0604178] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  16. [16]
    C.M. Hull, Doubled geometry and T -folds, JHEP 07 (2007) 080 [hep-th/0605149] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  17. [17]
    C.M. Hull and R.A. Reid-Edwards, Gauge Symmetry, T -duality and Doubled Geometry, JHEP 08 (2008) 043 [arXiv:0711.4818] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  18. [18]
    C.M. Hull and R.A. Reid-Edwards, Non-geometric backgrounds, doubled geometry and generalised T -duality, JHEP 09 (2009) 014 [arXiv:0902.4032] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  19. [19]
    J. Shelton, W. Taylor and B. Wecht, Nongeometric Flux Compactifications, JHEP 10 (2005) 085 [hep-th/0508133] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  20. [20]
    G. Aldazabal, P.G. Camara, A. Font and L.E. Ibáñez, More dual fluxes and moduli fixing, JHEP 05 (2006) 070 [hep-th/0602089] [SPIRES].CrossRefADSGoogle Scholar
  21. [21]
    P.P. Pacheco and D. Waldram, M-theory, exceptional generalised geometry and superpotentials, JHEP 09 (2008) 123 [arXiv:0804.1362] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  22. [22]
    A. Guarino and G.J. Weatherill, Non-geometric flux vacua, S-duality and algebraic geometry, JHEP 02 (2009) 042 [arXiv:0811.2190] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  23. [23]
    G. Aldazabal, P.G. Camara and J.A. Rosabal, Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications, Nucl. Phys. B 814 (2009) 21 [arXiv:0811.2900] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  24. [24]
    M. Graña, J. Louis, A. Sim and D. Waldram, E7(7) formulation of N =2 backgrounds, JHEP 07 (2009) 104 [arXiv:0904.2333] [SPIRES].CrossRefADSGoogle Scholar
  25. [25]
    G.J. Weatherill, The Generalised Geometry of Type II Non-Geometric Fluxes Under T and S Dualities, JHEP 02 (2010) 086 [arXiv:0910.4530] [SPIRES].CrossRefADSGoogle Scholar
  26. [26]
    G. Aldazabal, E. Andres, P.G. Camara and M. Graña, U-dual fluxes and Generalized Geometry, arXiv:1007.5509 [SPIRES].
  27. [27]
    G. Curio, A. Klemm, B. Körs and D. Lüst, Fluxes in heterotic and type-II string compactifications, Nucl. Phys. B 620 (2002) 237 [hep-th/0106155] [SPIRES].CrossRefADSGoogle Scholar
  28. [28]
    J . Louis and A. Micu, Heterotic-type IIA duality with fluxes, JHEP 03 (2007) 026 [hep-th/0608171] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  29. [29]
    O. Aharony, M. Berkooz, J. Louis and A. Micu, Non-Abelian structures in compactifications of M-theory on seven-manifolds with SU(3) structure, JHEP 09 (2008) 108 [arXiv:0806.1051] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  30. [30]
    R.A. Reid-Edwards and B. Spanjaard, N =4 Gauged Supergravity from Duality-Twist Compactifications of String Theory, JHEP 12 (2008) 052 [arXiv:0810.4699] [SPIRES].CrossRefADSGoogle Scholar
  31. [31]
    H. Looyestijn, E. Plauschinn and S. Vandoren, New potentials from Scherk-Schwarz reductions, arXiv:1008.4286 [SPIRES].
  32. [32]
    P.S. Aspinwall and J. Louis, On the Ubiquity of K3 Fibrations in String Duality, Phys. Lett. B 369 (1996) 233 [hep-th/9510234] [SPIRES].MathSciNetADSGoogle Scholar
  33. [33]
    L. Andrianopoli et al., N =2 supergravity and N =2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032] [SPIRES]. MATHCrossRefMathSciNetADSGoogle Scholar
  34. [34]
    J . Louis and A. Micu, Type II theories compactified on Calabi-Yau three folds in the presence of background fluxes, Nucl. Phys. B 635 (2002) 395 [hep-th/0202168] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  35. [35]
    S. Gurrieri, N =2 and N =4 supergravities as compactifications from string theories in 10 dimensions, hep-th/0408044 [SPIRES].
  36. [36]
    N. Kaloper and R.C. Myers, The O(dd) story of massive supergravity, JHEP 05 (1999) 010 [hep-th/9901045] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  37. [37]
    J. Louis and A. Micu, Heterotic string theory with background fluxes, Nucl. Phys. B 626 (2002) 26 [hep-th/0110187] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  38. [38]
    J. Maharana and J.H. Schwarz, Noncompact symmetries in string theory, Nucl. Phys. B 390 (1993) 3 [hep-th/9207016] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  39. [39]
    J. Louis, D. Martinez-Pedrera and A. Micu, Heterotic compactifications on SU(2)-structure backgrounds, JHEP 09 (2009) 012 [arXiv:0907.3799] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  40. [40]
    A. Micu, E. Palti and P.M. Saffin, M-theory on seven-dimensional manifolds with SU(3) structure, JHEP 05 (2006) 048 [hep-th/0602163] [SPIRES].CrossRefMathSciNetADSGoogle Scholar
  41. [41]
    T.W. Grimm, The N =1 effective action of F-theory compactifications, arXiv:1008.4133 [SPIRES].
  42. [42]
    J. Louis, P. Smyth and H. Triendl, The N =1 Low-Energy Effective Action of Spontaneously Broken N =2 Supergravities, arXiv:1008.1214 [SPIRES].
  43. [43]
    B. de Wit, H. Samtleben and M. Trigiante, Magnetic charges in local field theory, JHEP 09 (2005) 016 [hep-th/0507289] [SPIRES].CrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.Horia Hulubei National Institute of Physics and Nuclear Engineering — IFIN-HHMăgurelejud IlfovRomania

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