Flux backgrounds from Twists

David Andriot; Ruben Minasian; Michela Petrini

doi:10.1088/1126-6708/2009/12/028

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The following article is OPEN ACCESS

Flux backgrounds from Twists

David Andriot^a, Ruben Minasian^b and Michela Petrini^a

Published 4 December 2009 • Journal of High Energy Physics, Volume 2009, JHEP12(2009)

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Article information

Author e-mails

andriot@lpthe.jussieu.fr

ruben.minasian@cea.fr

petrini@lpthe.jussieu.fr

Author affiliations

^a LPTHE, CNRS, UPMC Univ Paris 06, Boȋte 126, 4 Place Jussieu, F-75252 Paris cedex 05, France

^b Institut de Physique Théorique, CEA/Saclay, 91191 Gif-sur-Yvette Cedex, France

Dates

Received 12 June 2009
Accepted 16 November 2009
Published 4 December 2009

Citation

David Andriot et al JHEP12(2009)028

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DOI

https://doi.org/10.1088/1126-6708/2009/12/028

E-print

http://arxiv.org/abs/0903.0633

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Abstract

It is well known that a constant O(n,n, Bbb Z

) transformation can relate different string backgrounds with n commuting isometries that have very different geometric and topological properties. Here we construct discrete families of (flux) backgrounds on internal manifolds of different topologies by performing certain coordinate dependent O(d,d) transformations, where d is the dimension of the internal manifold. Our two principal examples include respectively the family of type IIB compactifications with D5 branes and O5 planes on six-dimensional nilmanifolds, and the heterotic torsional backgrounds.

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References

[1]
A. Giveon, M. Porrati and E. Rabinovici, 1994 Target space duality in string theory, Phys. Rept. 244 77 [hep-th/9401139]
Crossref Preprint SPIRES Google Scholar
[2]
M. Graña and J. Polchinski, 2002 Gauge/gravity duals with holomorphic dilaton, Phys. Rev. D 65 126005 [hep-th/0106014]
Crossref Preprint SPIRES Google Scholar
[3]
S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, 2003 New supersymmetric string compactifications J. High Energy Phys. JHEP03(2003)061 [hep-th/0211182]
IOPscience Preprint SPIRES Google Scholar
[4]
M.B. Schulz, 2004 Superstring orientifolds with torsion: O5 orientifolds of torus fibrations and their massless spectra, Fortsch. Phys. 52 963 [hep-th/0406001]
Crossref Preprint SPIRES Google Scholar
[5]
M. Graña, R. Minasian, M. Petrini and A. Tomasiello, 2007 A scan for new N=1 vacua on twisted tori J. High Energy Phys. JHEP05(2007)031 [hep-th/0609124]
IOPscience Preprint SPIRES Google Scholar
[6]
A. Strominger, 1986 Superstrings with Torsion, Nucl. Phys. B 274 253
Crossref Google Scholar
[7]
C.M. Hull, Superstring Compactifications With Torsion And Space-Time Supersymmetry, Print-86-0251
Google Scholar
[8]
K. Dasgupta, G. Rajesh and S. Sethi, 1999 M theory, orientifolds and G-flux J. High Energy Phys. JHEP08(1999)023 [hep-th/9908088]
IOPscience Preprint SPIRES Google Scholar
[9]
K. Becker and K. Dasgupta, 2002 Heterotic strings with torsion J. High Energy Phys. JHEP11(2002)006 [hep-th/0209077]
IOPscience Preprint SPIRES Google Scholar
[10]
E. Goldstein and S. Prokushkin, 2004 Geometric model for complex non-Kähler manifolds with SU(3) structure, Commun. Math. Phys. 251 65 [hep-th/0212307]
Crossref Preprint SPIRES Google Scholar
[11]
J.-X. Fu and S.-T. Yau, The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampere equation, [hep-th/0604063]
Preprint SPIRES Google Scholar
[12]
K. Becker, M. Becker, J.-X. Fu, L.-S. Tseng and S.-T. Yau, 2006 Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory, Nucl. Phys. B 751 108 [hep-th/0604137]
Crossref Preprint SPIRES Google Scholar
[13]
T. Kimura and P. Yi, 2006 Comments on heterotic flux compactifications J. High Energy Phys. JHEP07(2006)030 [hep-th/0605247]
IOPscience Preprint SPIRES Google Scholar
[14]
S. Kim and P. Yi, 2006 A heterotic flux background and calibrated five-branes J. High Energy Phys. JHEP11(2006)040 [hep-th/0607091]
IOPscience Preprint SPIRES Google Scholar
[15]
M. Becker, L.-S. Tseng and S.-T. Yau, Heterotic Kähler/non-Kähler Transitions, [0706.4290]
Preprint SPIRES Google Scholar
[16]
S. Sethi, 2008 A Note on Heterotic Dualities via M-theory, Phys. Lett. B 659 385 [0707.0295]
Crossref Preprint SPIRES Google Scholar
[17]
N. Hitchin, 2003 Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford Ser. 54 281 [math/0209099]
Crossref Preprint Google Scholar
[18]
M. Gualtieri, Generalized complex geometry, PhD thesis Oxford University [math/0401221]
Preprint Google Scholar
[19]
M. Graña, R. Minasian, M. Petrini and A. Tomasiello, 2004 Supersymmetric backgrounds from generalized Calabi-Yau manifolds J. High Energy Phys. JHEP08(2004)046 [hep-th/0406137]
IOPscience Preprint SPIRES Google Scholar
[20]
M. Graña, R. Minasian, M. Petrini and A. Tomasiello, 2005 Generalized structures of N=1 vacua J. High Energy Phys. JHEP11(2005)020 [hep-th/0505212]
IOPscience Preprint SPIRES Google Scholar
[21]
N. Hitchin, Brackets, forms and invariant functionals, [math/0508618]
Preprint Google Scholar
[22]
C.M. Hull, 2007 Generalised geometry for M-theory J. High Energy Phys. JHEP07(2007)079 [hep-th/0701203]
IOPscience Preprint SPIRES Google Scholar
[23]
P.P. Pacheco and D. Waldram, 2008 M-theory, exceptional generalised geometry and superpotentials J. High Energy Phys. JHEP09(2008)123 [0804.1362]
IOPscience Preprint SPIRES Google Scholar
[24]
M. Graña, J. Louis, A. Sim and D. Waldram, 2009 E7(7) formulation of N=2 backgrounds J. High Energy Phys. JHEP07(2009)104 [0904.2333]
IOPscience Preprint SPIRES Google Scholar
[25]
O. Lunin and J.M. Maldacena, 2005 Deforming field theories with U(1) × U(1) global symmetry and their gravity duals J. High Energy Phys. JHEP05(2005)033 [hep-th/0502086]
IOPscience Preprint SPIRES Google Scholar
[26]
R. Minasian, M. Petrini and A. Zaffaroni, 2006 Gravity duals to deformed SYM theories and generalized complex geometry J. High Energy Phys. JHEP12(2006)055 [hep-th/0606257]
IOPscience Preprint SPIRES Google Scholar
[27]
N. Halmagyi and A. Tomasiello, 2009 Generalized Kähler Potentials from Supergravity, Commun. Math. Phys. 291 1 [0708.1032]
Crossref Preprint SPIRES Google Scholar
[28]
D. Lüst and D. Tsimpis, 2005 Supersymmetric AdS₄ compactifications of IIA supergravity J. High Energy Phys. JHEP02(2005)027 [hep-th/0412250]
IOPscience Preprint SPIRES Google Scholar
[29]
P. Koerber and D. Tsimpis, 2007 Supersymmetric sources, integrability and generalized- structure compactifications J. High Energy Phys. JHEP08(2007)082 [0706.1244]
IOPscience Preprint SPIRES Google Scholar
[30]
M. Graña, R. Minasian, M. Petrini and D. Waldram, 2009 T-duality, Generalized Geometry and Non-Geometric Backgrounds J. High Energy Phys. JHEP04(2009)075 [0807.4527]
IOPscience Preprint SPIRES Google Scholar
[31]
D. Andriot, 2008 New supersymmetric flux vacua with intermediate SU(2) structure J. High Energy Phys. JHEP08(2008)096 [0804.1769]
IOPscience Preprint SPIRES Google Scholar
[32]
G.R. Cavalcanti and M. Gualtieri, Generalized complex structures on nilmanifolds, [math/0404451]
Preprint Google Scholar
[33]
P. Candelas, G.T. Horowitz, A. Strominger and E. Witten, 1985 Vacuum Configurations for Superstrings, Nucl. Phys. B 258 46
Crossref Google Scholar
[34]
A. Swann, Twisting Hermitian and hypercomplex geometries, [0812.2780]
Preprint Google Scholar
[35]
P.S. Aspinwall, An analysis of fluxes by duality, [hep-th/0504036]
Preprint SPIRES Google Scholar
[36]
J. Evslin and R. Minasian, 2009 Topology Change from (Heterotic) Narain T-duality, Nucl. Phys. B 820 213 [0811.3866]
Crossref Preprint SPIRES Google Scholar
[37]
A. Alekseev and T. Strobl, 2005 Current algebra and differential geometry J. High Energy Phys. JHEP03(2005)035 [hep-th/0410183]
IOPscience Preprint SPIRES Google Scholar
[38]
D.M. Belov, C.M. Hull and R. Minasian, T-duality, Gerbes and Loop Spaces, [0710.5151]
Preprint SPIRES Google Scholar
[39]
A. Giveon, E. Rabinovici and G. Veneziano, 1989 Duality in String Background Space, Nucl. Phys. B 322 167
Crossref Google Scholar
A. Giveon and M. Roček, 1992 Generalized duality in curved string backgrounds, Nucl. Phys. B 380 128 [hep-th/9112070]
Crossref Preprint SPIRES Google Scholar
[40]
S. Elitzur, E. Gross, E. Rabinovici and N. Seiberg, 1987 Aspects of bosonization in string theory, Nucl. Phys. B 283 413
Crossref Google Scholar

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