54 citations · 72 across the 2 of their papers we have counts for
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Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
Pascal Grange, Sakura Schafer-Nameki
Fibrations of flux backgrounds by supersymmetric cycles are investigated. For an internal six-manifold M with static SU(2) structure and mirror \hat{M}, it is argued that the produ…
T-duality with H-flux: non-commutativity, T-folds and G x G structure
Pascal Grange, Sakura Schafer-Nameki
Various approaches to T-duality with NSNS three-form flux are reconciled. Non-commutative torus fibrations are shown to be the open-string version of T-folds. The non-geometric T-d…
Tachyon condensation and D-branes in generalized geometries
Pascal Grange, Ruben Minasian
In generalized complex geometry, D-branes can be seen as maximally isotropic spaces and are thus in one-to-one correspondence with pure spinors. When considered on the sum of the t…
D-branes, actions effectives et symétrie miroir
Pascal Grange
This thesis is devoted to derivative corrections to the effective action of D-branes, and to mirror symmetry with D-branes. Series of derivative corrections first predicted by non-…
Modified pure spinors and mirror symmetry
Pascal Grange, Ruben Minasian
It has been argued recently that mirror symmetry exchanges two pure spinors characterizing a generic manifold with SU(3)-structure. We show how pure spinors are modified in the pre…
Branes as Stable Holomorphic Line Bundles On the Non-Commutative Torus
Pascal Grange
It was recently suggested by A. Kapustin that turning on a -field, and allowing some discrepancy between the left and and right-moving complex structures, must induce an identif…