We show how to construct supersymmetric warped AdS7 vacua of massive IIA and AdS6 vacua of IIB supergravity, using "half-maximal structures" of exceptional field theory. We use this formalism to obtain the minimal consistent truncations around these AdS vacua.1 E.Malek@lmu.de 2 Henning.Samtleben@ens-lyon.fr 3 V. Vall@physik.uni-muenchen.de Many supersymmetric AdS vacua of 10-and 11-dimensional SUGRA are known and play a crucial role in the AdS/CFT correspondence. Yet, we do not currently have a systematic geometric understanding of such vacua. Unlike fluxless supersymmetric Minkowski vacua, which are described by integrable G-structures and thus special holonomy manifolds, supersymmetric AdS vacua require non-vanishing fluxes and thus are not described by integrable G-structures in Riemannian geometry. However, recently a description of supersymmetric AdS vacua in terms of generalised G-structures has appeared using Exceptional Field Theory (ExFT) [1][2][3][4], focusing on the case of half-maximal supersymmetry [5][6][7], and Exceptional Generalised Geometry (EGG) [8,9], focusing on 1/4-maximal supersymmetry [10-12] and more general analyses [13,14] 4 . ExFT and EGG provide a unified description of metric and flux degrees of freedom of 10-/11-dimensional SUGRA by using enlarged geometric structures called generalised tangent bundles. It is on these enlarged bundles that the generalised G-structures can be defined.This reformulation of SUGRA has already been succesfully used to study flux vacua. For example, it has led to maximally supersymmetric consistent truncations [16][17][18] which uplift several interesting lowerdimensional gauged supergravities and their vacua to 10-/11-dimensional SUGRA [19][20][21][22][23][24][25][26][27]. Recently, [5,7] showed how to generalise this procedure to construct consistent truncations of 10-/11-dimensional SUGRA which break half the supersymmetry. Furthermore, [7] proved that for each warped half-maximally supersymmetric AdS D vacuum of 10-/11-dimensional SUGRA, there exists a consistent truncation to D-dimensional half-maximal gSUGRA containing only the graviton supermultiplet, thereby proving the half-maximal case of the conjecture [28]. Such consistent truncations are particularly useful for the AdS/CFT correspondence where they allow us to study AdS vacua of 10-/11-dimensional SUGRA using lower-dimensional gauged SUGRAs. This can be used to study deformations of the AdS vacua, e.g.finding domain-wall solutions which are holographically dual to RG flow.In this paper, we will show that generalised G-structures can be used to efficiently construct supersymmetric AdS vacua of 10-/11-dimensional SUGRA. We will focus on AdS 7 vacua of massive IIA and AdS 6 vacua of IIB SUGRA. A family of infinitely many such solutions have recently been found [29][30][31][32], parameterised by a cubic function in the case of AdS 7 and two holomorphic functions for AdS 6 . We will show how these solutions can easily be constructed in terms of a universal half-maximal structure underlying them....
Using exceptional field theory we construct supersymmetric warped AdS7 vacua of massive IIA and AdS6 vacua of IIB, as well as their consistent truncations including vector multiplets. We show there are no consistent truncations of massive IIA supergravity around its supersymmetric AdS7 vacua with vector multiplets when the Roman's mass is nonvanishing. For AdS6 vacua of IIB supergravity, we find that in addition to the consistent truncation to pure F(4) gauged SUGRA, the only other half-maximal truncations that are consistent result in F(4) gauged SUGRA coupled to one or two Abelian vector multiplets, to three non-Abelian vector multiplets, leading to an ISO(3) gauged SUGRA, or to three non-Abelian plus one Abelian vector multiplet, leading to an ISO(3)×U(1) gauged SUGRA.These consistent truncations with vector multiplets exist when the two holomorphic functions that define the AdS6 vacua satisfy certain differential conditions which we derive. We use these to deduce that no globally regular AdS6 solutions admit a consistent truncation to F(4) gauged SUGRA with two vector multiplets, and show that the Abelian T-dual of the Brandhuber-Oz vacuum allows a consistent truncation to F(4) gauged SUGRA with a single vector multiplet.
We construct a class of codimension-2 solutions in supergravity that realize T-folds with arbitrary O(2, 2, Z) monodromy and we develop a geometric point of view in which the monodromy is identified with a product of Dehn twists of an auxiliary surface Σ fibered on a base B. These defects, that we call T-fects, are identified by the monodromy of the mapping torus obtained by fibering Σ over the boundary of a small disk encircling a degeneration. We determine all possible local geometries by solving the corresponding Cauchy-Riemann equations, that imply the equations of motion for a semi-flat metric ansatz. We discuss the relation with the F-theoretic approach and we consider a generalization to the T-duality group of the heterotic theory with a Wilson line.
We study the dynamics of strings with non-zero winding number around T-duality defects. We deduce that the physics near the core of such non-geometric objects involves winding modes that are not captured by the supergravity approximation, and we argue that such corrections are T-dual to the modes responsible for quantum corrections of semi-flat elliptic metrics. We furthermore construct a solution of double field theory that captures part of such near-core physics.Comment: 27 pages; v2: references added; v3: published version, reference adde
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