SU(3) × SU(3) compactification and mirror duals of magnetic fluxes
By M. Graña, J. Louis, D. Waldram. 2006
184 citations recorded by the source corpus.
This paper analyses type II string theories in backgrounds which admit an SU(3) × SU(3) structure. Such backgrounds are designed to linearly realize eight out of the original 32 supercharges and as a consequence the low-energy effective action can be written in terms of couplings which are closely related to the couplings of four-dimensional N = 2 theories. This generalizes the previously studied case of SU(3) backgrounds in that the left- and right-moving sector each have a different globally defined spinor. Given a truncation to a finite number of modes, these backgrounds lead to a conventional four-dimensional low-energy effective theory. The results are manifestly mirror symmetric and give terms corresponding to the mirror dual couplings of Calabi-Yau compactifications with magnetic fluxes. It is argued, however, that generically such backgrounds are non-geometric and hence the supergravity analysis is not strictly valid. Remarkably, the naive generalization of the geometrical expressions nonetheless appears to give the correct low-energy effective theory.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/169d871dd1d5d4b4e272587e38803564fae0fb37
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Citations in the corpus
- A ten-dimensional action for non-geometric fluxes (2011, background): “For a geometric compactification on a background admitting an SU(3)×SU(3) structure, the four-dimensional superpotential can be written in terms of an integral over GCG objects [49, 50, 51].”
- M-theory, exceptional generalised geometry and superpotentials (2008, methodology): “As shown in [11, 20], Φ± parametrise a special Kähler space underlying the vector or hypermultiplet scalar degrees of freedom, and there are simple expressions for the N = 2 analogues of the superpotential in terms of Φ±.”
- From ten to four and back again: how to generalize the geometry (2007, methodology): “This superpotential agrees with the ones obtained in the literature [14, 15, 16 ] upon taking constant warp factor.”
- Lectures on nongeometric flux compactifications (2007, unknown): “It appears that a generic SU(3)× SU(3)-structure compactification is nongeometric, as discussed in [8].”
- Gauged Supergravities. (2016, methodology): “The general features of the four-dimensional supergravity were derived within a top-down approach, using generalized geometry, in [107], building on previous related works, see [304, 305] and references therein.”
- T-duality, generalized geometry and non-geometric backgrounds (2008, background): “Recent developments in flux compactifications brought T-duality to the center stage [1–10].”