Flux compactifications of string theory on twisted tori
By C. Hull, R. A. Reid-Edwards. 2005
147 citations recorded by the source corpus.
Global aspects of Scherk‐Schwarz dimensional reduction are discussed and it is shown that it can usually be viewed as arising from a compactification on the compact space obtained by identifying a (possibly non‐compact) group manifold 𝒢 under a discrete subgroup Γ, followed by a truncation. This allows a generalisation of Scherk‐Schwarz reductions to string theory or M‐theory as compactifications on 𝒢/Γ, but only in those cases in which there is a suitable discrete subgroup of 𝒢. We analyse such compactifications with flux and investigate the gauge symmetry and its spontaneous breaking. We discuss the covariance under O(d,d), where d is the dimension of the group 𝒢, and the relation to reductions with duality twists. The compactified theories promote a subgroup of the O(d,d) that would arise from a toroidal reduction to a gauge symmetry, and we discuss the interplay between the gauge symmetry and the O(d,d,ℤ T‐duality group, suggesting the role that T‐duality should play in such compactifications.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/157046378bce3cf8a56bc816f3e7f9f1a5ad4e16
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- SU(3) × SU(3) compactification and mirror duals of magnetic fluxes (2006, methodology): “As a concrete simplified example of the general ideas discussed above we consider the case of a reduction on T 6 with H3-flux and the related twisted tori and T-dual compactifications, following [27, 28, 26, 24, 33].”
- T-duality and closed string non-commutative (doubled) geometry (2010, background): “We will give some evidence that for certain geometrical backgrounds, namely for geometric flux compactifications on twisted tori [19, 20, 21, 22, 23, 24, 25, 26], space with coordinates becomes non-commutative.”
- Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory (2012, background): “At this point in moduli space, the fibered torus admits an exact CFT description in terms of a freely-acting Z4-orbifold, corresponding to the minimum of the Scherk-Schwarz potential for the complex structure, [26, 27].”
- Generalized flux vacua (2006, unknown): “2 Geometric IIA vacua If the fluxes b2, b3 and c2, c̃2, c3 all vanish, then all the remaining terms in the superpotential have a geometric interpretation in IIA; such toroidal compactifications with geometric flux have been studied in [15, 31, 32, 33, 34].”
- A ten-dimensional action for non-geometric fluxes (2011, background): “The latter is obtained by allowing, in addition to the usual fluxes in geometric situations [49, 50, 51, 52], the non-geometric fluxes as structure constants of the algebra.”
- Duality Symmetric String and M-Theory (2013, background): “In general, the reduction space can then be identified with a quotient K/Γ where Γ is a discrete subgroup of KL, the left action of K on itself as explained in [81] (which also discusses the case where K is non-compact).”
- Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, background): “Whilst the idea of dimensionally reducing on so called non–geometric backgrounds has been extensively explored for years, see for instance [14, 15, 16, 17, 18, 19, 20, 21] and more recently [22, 23] it becomes very natural within the context of DFT.”
- Simple de Sitter solutions (2007, methodology): “As mentioned above, this will help lift some of the scalar degrees of freedom which are eaten in the generalized Higgs mechanism explained in [28].”
- T-duality, generalized geometry and non-geometric backgrounds (2008, background): “It has been argued that the missing half corresponds to “non-geometric fluxes”, encoding, for example, monodromies in the T-duality group, mixing metric and B-field [2, 3].”