Fluxes in M-theory on 7-manifolds and<i>G</i>structures

Behrndt, Klaus; Jeschek, Claus

doi:10.1088/1126-6708/2003/04/002

Cited by 43 publications

(42 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For our conventions and notation, we basically follow [12,34,38]. We also refer the reader to [8] for more detailed discussions.…”

Section: Group Structuresmentioning

confidence: 99%

“…In the simplest case, the back-reaction is given only by a non-trivial warp factor. Especially on the type IIA string theory and M-theory side, fluxes generate a severe back reaction on the internal geometry [9,10,11,12,13,14,15,16,17,18] and only few examples are explicitly known [19,20,21]; for reviews we refer the reader to [22,23,24] and references therein.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, for a 7-dimensional spin manifold one can always define three vectors, which implies that one can, without making any constraint on the geometry, express the vacuum in terms of SU(2) structures. In type II string theory, vacua with SU(2) structure have been discussed in [14,27,28] Flux compactifications of M-theory with a vanishing cosmological constant have been considered in [29,30,31,13] and compactifications to a 4-dimensional anti deSitter space are discussed in [32,12,33,34,35,36,37]. The amount of unbroken supersymmetry is related to the number of external spinors which are either Weyl or Majorana.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Classification of supersymmetric flux vacua in M-theory

2006

Self Cite

View full text Add to dashboard Cite

We present a comprehensive classification of supersymmetric vacua of M-theory compactification on seven-dimensional manifolds with general four-form fluxes. We analyze the cases where the resulting four-dimensional vacua have N = 1,2,3,4 supersymmetry and the internal space allows for SU (2), SU (3) or G 2 structures. In particular, we find for N = 2 supersymmetry, that the external space-time is Minkowski and the base manifold of the internal space is conformally Kähler for SU (2) structures, while for SU (3) structures the internal space has to be EinsteinSasaki and no internal fluxes are allowed. Moreover, we provide a new vacuum with N = 1 supersymmetry and SU (3) structure, where all fluxes are non-zero and the first order differential equations are solved.

show abstract

“…For our conventions and notation, we basically follow [12,34,38]. We also refer the reader to [8] for more detailed discussions.…”

Section: Group Structuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Classification of supersymmetric flux vacua in M-theory

2006

Self Cite

View full text Add to dashboard Cite

show abstract

“…[28]. Since then, the subject has flourished [32,29,33,27,34,35,36,37,38,39,40,41,42,43,44]. In the context of the heterotic string with 4D N = 1 supersymmetry, the appropriate group G is SU (3), and the idea is as follows [32,29,27].…”

Section: More Recent Progressmentioning

confidence: 99%

“…Here, we follow Frey and Polchinski, except for a minor difference in conventions, 44 and the inclusion of the axion-dilaton modulus. 43 Properly treating the warp factor in the 4D kinetic terms for the 6D metric moduli is a problem that we do not attempt to address here. It was partially studied in Ref.…”

Section: Appendix G Moduli Space Metricsmentioning

confidence: 99%

Superstring orientifolds with torsion: O5 orientifolds of torus fibrations and their massless spectra

Schulz

2004

Fortschritte der Physik

View full text Add to dashboard Cite

Using a "Superstrings with Torsion" type description, we study a class of IIB orientifolds in which spacefilling O5 planes and D5 branes wrap the T 2 fiber in a warped modification of the product of 4D Minkowski space and a T 2 fibration. For the case that the base is T 4 , we provide examples that preserve 4D N = 1, 2, and 3 supersymmetry, both with internal RR flux, and with a combination of internal RR and NS flux. In these examples, the internal geometries admit integrable complex structure; however, the almost complex structure selected by the supersymmetry conditions is nonintegrable in the case that there is NS flux. We indicate explicitly the massless spectrum of gauge fields and moduli in each example. In a previous investigation, this class of orientifolds was studied using T-duality. Here, we extend the previous analysis, first by providing an intrinsic description that does not rely on duality, and then by elaborating on details of the T-duality map, which we use to check our results.

show abstract

Classifying supergravity solutions

Gauntlett

2005

Fortschritte der Physik

View full text Add to dashboard Cite

show abstract

Fluxes in M-theory on 7-manifolds andGstructures

Cited by 43 publications

References 26 publications

Classification of supersymmetric flux vacua in M-theory

Classification of supersymmetric flux vacua in M-theory

Superstring orientifolds with torsion: O5 orientifolds of torus fibrations and their massless spectra

Classifying supergravity solutions

Contact Info

Product

Resources

About