A geometry for non-geometric string backgrounds
By C. Hull. 2004
377 citations recorded by the source corpus.
A geometric string solution has background fields in overlapping coordinate patches related by diffeomorphisms and gauge transformations, while for a non-geometric background this is generalised to allow transition functions involving duality transformations. Non-geometric string backgrounds arise from T-duals and mirrors of flux compactifications, from reductions with duality twists and from asymmetric orbifolds. Strings in ` T-fold' backgrounds with a local $n$-torus fibration and T-duality transition functions in $O(n,n:\Z)$ are formulated in an enlarged space with a $T^{2n}$ fibration which is geometric, with spacetime emerging locally from a choice of a $T^n$ submanifold of each $T^{2n}$ fibre, so that it is a subspace or brane embedded in the enlarged space. T-duality acts by changing to a different $T^n$ subspace of $T^{2n}$. For a geometric background, the local choices of $T^n$ fit together to give a spacetime which is a $T^n$ bundle, while for non-geometric string backgrounds they do not fit together to form a manifold. In such cases spacetime geometry only makes sense locally, and the global structure involves the doubled geometry. For open strings, generalised D-branes wrap a $T^n$ subspace of each $T^{2n}$ fibre and the physical D-brane is the part of the part of the physical space lying in the generalised D-brane subspace.
Subfields: Astronomy and Astrophysics, Atmospheric Science, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/735934008229149dd88f15f3c4604e4753b00065
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Atmospheric Science
In Nuclear and High Energy Physics
Citations in the corpus
- Non‐geometric fluxes in supergravity and double field theory (2012, background): “To make such a proposal more concrete, a world sheet perspective on this question could be useful [17,77,78].”
- T-duality and closed string non-commutative (doubled) geometry (2010, background): “As emphasized already, all this is most naturally discussed in the context of T-folds resp. of doubled geometry.”
- Exotic Branes in String Theory (2012, background): “Doubled geometry [10, 125–128] is a worldsheet formalism which allows for studies of T -folds by doubling the worldsheet fields in the compact torus directions.”
- Lectures on nongeometric flux compactifications (2007, methodology): “We will not delve further into the doubled torus formalism here, except to note that it has been a topic of recent research interest [32], and it has been extended to the superstring [ 33 ] and demonstrated to be quantum mechanically equivalent to the usual worldsheet formulation of string theory [3”
- The Gauge algebra of double field theory and Courant brackets (2009, neutral): “Following [11, 12], we can describe the choice of N with constant projectors Π and Π̃: y = ΠMX M , ỹi = Π̃iMX M .”
- Generalized flux vacua (2006, neutral): “There is so far no complete worldsheet description of spaces with these fluxes as string backgrounds, but one proposal for a stringy construction of these fluxes has been described by Hull [14] and explored by several authors at both the classical [15, 16, 17] and quantum [18] levels.”
- Background independent action for double field theory (2010, background): “It would be of considerable interest to seek an extension of this formalism that was applicable to spaces with a torus fibration or to T-folds; in both cases, it is expected that double geometry should play a useful role [21, 22].”
- Exploring double field theory (2013, methodology): “More generally, the Q-background makes use of the T-duality group, and is therefore called a T-fold [11–16].”
- Frame-like geometry of double field theory (2010, background): “It is a fairly natural idea that this duality symmetry can be made manifest upon introducing ‘doubled coordinates’, both at the level of the world-sheet [2, 3, 4] and at the level of space-time [3, 5].”