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We define the open string version of the nonlinear sigma model on doubled geometry introduced by Hull and Reid-Edwards, and derive its boundary conditions.
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C. M. Hull, “A geometry for non-geometric string backgrounds,” JHEP 0510
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2005
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A. Dabholkar and C. Hull, “Generalised T-duality and non-geometric backgrounds,” JHEP 0605
2006
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A. Lawrence, M. B. Schulz and B. Wecht, “D-branes in nongeometric backgrounds,” JHEP 0607
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2007
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C. Albertsson and R. A. Reid-Edwards, “Worldsheet boundary conditions in Poisson-Lie T-duality,” JHEP 0703
2007
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R. A. Reid-Edwards, “Geometric and non-geometric compactifications of IIB supergravity,” JHEP 0812
2008
Closest in time.
C. M. Hull and R. A. Reid-Edwards, “Gauge symmetry, T-duality and doubled geometry,” JHEP 0808
2008
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2008
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S. Kawai and Y. Sugawara, “D-branes in T-fold conformal field theory,” JHEP 0802
2008
Closest in time.