Duality twists, orbifolds, and fluxes
By A. Dabholkar, C. Hull. 2002
288 citations recorded by the source corpus.
We investigate compactifications with duality twists and their relation to orbifolds and compactifications with fluxes. Inequivalent compactifications are classified by conjugacy classes of the U-duality group and result in gauged supergravities in lower dimensions with nontrivial Scherk-Schwarz potentials on the moduli space. For certain twists, this mechanism is equivalent to introducing internal fluxes but is more general and can be used to stabilize some of the moduli. We show that the potential has stable minima with zero energy precisely at the fixed points of the twist group. In string theory, when the twist belongs to the T-duality group, the theory at the minimum has an exact CFT description as an orbifold. We also discuss more general twists by nonperturbative U-duality transformations.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/61270de899dd49f9b4fd368445c74a35c9abfad7
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Citations in the corpus
- New supersymmetric string compactifications (2002, background): “More generally, the connection between flux, twisted tori and cosets (or orbifolds) needs to be understood better, building on the recent work in [35].”
- The effective action of double field theory (2011, methodology): “The concepts of Generalized Complex Geometry [7]-[9], non-geometry [10, 11] and double geometry [12]-[18] were proposed as suitable frameworks to deal with this situation (see also [19, 20] for extensions to M-theory).”
- Double field theory: a pedagogical review (2013, background): “The ideas introduced in [56, 57, 58] led to the development of non-geometry, and T-dual non-geometric fluxes were named as such in [59] (see also [60]).”
- Nongeometric flux compactifications (2005, background): “Many nongeometric compactifications that have been studied in the past [21, 22, 23] have been claimed to be related to asymmetric orbifolds [42].”
- 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].”
- Constructing nongeometric vacua in string theory (2004, methodology): “We explicitly construct backgrounds which contain the “Duality Twists” discussed by Dabholkar and Hull [1].”
- Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes (2008, methodology): “One way to explicitly construct a space with metric fluxes is the base-fiber splitting framework [22], [23], [20].”
- Mirror symmetry in generalized Calabi–Yau compactifications ☆ (2002, background): “[47,48,49] where also orbifolds of T 6 are considered.”
- Generalized flux vacua (2006, unknown): “Other approaches to the worldsheet description of nongeometric backgrounds include asymmetric orbifolds [19, 20], and a recent generalization [21].”