Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory
By C. Condeescu, I. Florakis, D. Lust. 2012
139 citations recorded by the source corpus.
A bstractIn this paper we consider a class of exactly solvable closed string flux backgrounds that exhibit non-commutativity in the closed string coordinates. They are realized in terms of freely-acting asymmetric ℤN -orbifolds, which are themselves close relatives of twisted torus fibrations with elliptic ℤN -monodromy (elliptic T-folds). We explicitly construct the modular invariant partition function of the models and derive the non-commutative algebra in the string coordinates, which is exact to all orders in α′. Finally, we relate these asymmetric orbifold spaces to inherently stringy Scherk-Schwarz backgrounds and non-geometric fluxes.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/402fe1af9609bdfbd8060b8bb97e8f4e8e1489e1
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In Mathematical Physics
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Citations in the corpus
- Duality Symmetric String and M-Theory (2013, background): “[194, 195], the the matrix theory perspective of non-geometric fluxes [196, 197]; further perspectivesonnon-geometricfluxes[198,199] and theirrelationshipstonon-commutativity and even non-associativity [200, 201, 202, 203, 204, 205, 206, 98, 207]; T-folds, G-structures and supersymmetry[78, 168, 89]; ”
- Non‐geometric fluxes in supergravity and double field theory (2012, background): “s could be that the non-commutativity is again directly related to the bi-vector β, leading to the same algebra (5.2) as for the open strings. However, this will not be quite correct: as discussed in [88,91], only an extended closed string which is wrapped ˜pk times around the base of the fibration i”
- The spacetime of double field theory: Review, remarks, and outlook (2013, background): “) As discussed in [38, 39] this background can be constructed as a truly asymmetric Z2 orbifold CFT.”