The exceptional generalised geometry of supersymmetric AdS flux backgrounds

Ashmore, Anthony; Petrini, Michela; Waldram, Daniel

doi:10.1007/jhep12(2016)146

Cited by 36 publications

(116 citation statements)

References 70 publications

(237 reference statements)

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“…The moduli space of the full ten-dimensional solution AdS 5 × T 1,1 is known to be complex five-dimensional [4,5,[21][22][23]. However, only two of those moduli transform as singlets under the SU(2) × SU(2) factor in the isometry group and are thus accessible via consistent truncations [25]; those are the Axion-Dilaton τ and the complex modulus z related to the topology of T 1,1 , i.e.…”

Section: Discussionmentioning

confidence: 99%

“…full ten-dimensional theory is known to be complex five-dimensional [4,5,[21][22][23] and the moduli have been identified. There is always one modulus corresponding to the AxionDilaton τ and another coming from the vacuum expectation value (VEV) of the complex B-field of type IIB supergravity integrated over the nontrivial two-cycle of T 1,1 .…”

Section: Jhep06(2017)035mentioning

confidence: 99%

“…, n v . 4 Note that there is no scalar associated to the graviphoton. Moreover, we include n H hypermultiplets…”

Section: Jhep06(2017)035mentioning

confidence: 99%

“…Since the smallest spinor representations of Spin (1,4) are eight-dimensional, the background only preserves 8 real supercharges, i.e. N = 2 supersymmetry in five dimensions.…”

Section: Jhep06(2017)035mentioning

confidence: 99%

“…Supersymmetric solutions of type IIB supergravity with AdS factors preserving 8 real supercharges have been extensively studied in the past [1][2][3][4][5][6]. They are related to gauge theories on the boundary of AdS by the AdS/CFT correspondence.…”

Section: Introductionmentioning

confidence: 99%

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AdS5 vacua from type IIB supergravity on T 1,1

Louis

Muranaka

2017

J. High Energ. Phys.

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We study maximally supersymmetric Anti-de Sitter backgrounds in consistent N = 2 truncations of type IIB supergravity compactified on the Sasaki-Einstein manifold T 1,1 . In particular, we focus on truncations that contain fields coming from the nontrivial second and third cohomology forms on T 1,1 . These give rise to N = 2 supergravity coupled to two vector-and two hypermultiplets (Betti-vector truncation) or one vector-and three hypermultiplets (Betti-hyper truncation), respectively. We find that both truncations admit AdS 5 backgrounds with the gauge group always being broken but containing at least an U(1) R factor. Moreover, in both cases we show that the moduli space of AdS vacua is nontrivial and of maximal dimension. Finally, we explicitly compute the metrics on these moduli spaces.

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Section: Discussionmentioning

confidence: 99%

Section: Jhep06(2017)035mentioning

confidence: 99%

“…, n v . 4 Note that there is no scalar associated to the graviphoton. Moreover, we include n H hypermultiplets…”

Section: Jhep06(2017)035mentioning

confidence: 99%

“…Since the smallest spinor representations of Spin (1,4) are eight-dimensional, the background only preserves 8 real supercharges, i.e. N = 2 supersymmetry in five dimensions.…”

Section: Jhep06(2017)035mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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AdS5 vacua from type IIB supergravity on T 1,1

Louis

Muranaka

2017

J. High Energ. Phys.

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Exceptional Calabi–Yau spaces: the geometry of backgrounds with flux

Ashmore

Waldram

2017

Fortschritte der Physik

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174

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In this paper we define the analogue of Calabi–Yau geometry for generic D=4, N=2 flux backgrounds in type II supergravity and M‐theory. We show that solutions of the Killing spinor equations are in one‐to‐one correspondence with integrable, globally defined structures in E7(7)×double-struckR+ generalised geometry. Such “exceptional Calabi–Yau” geometries are determined by two generalised objects that parametrise hyper‐ and vector‐multiplet degrees of freedom and generalise conventional complex, symplectic and hyper‐Kähler geometries. The integrability conditions for both hyper‐ and vector‐multiplet structures are given by the vanishing of moment maps for the “generalised diffeomorphism group” of diffeomorphisms combined with gauge transformations. We give a number of explicit examples and discuss the structure of the moduli spaces of solutions. We then extend our construction to D=5 and D=6 flux backgrounds preserving eight supercharges, where similar structures appear, and finally discuss the analogous structures in Ofalse(d,dfalse)×double-struckR+ generalised geometry.

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Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

168

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We study D ≥ 4-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal Minkowski D and AdS D vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO(d−1−N ) structures, where d = 11−D, and N is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all D ≥ 4 half-maximal warped AdS D and Minkowski D vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new SO(5, N ) double field theory with a (6 + N )-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional N = 1 supergravity and another yielding six-dimensional N = (2, 0) SUGRA.

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The exceptional generalised geometry of supersymmetric AdS flux backgrounds

Cited by 36 publications

References 70 publications

AdS5 vacua from type IIB supergravity on T 1,1

AdS5 vacua from type IIB supergravity on T 1,1

Exceptional Calabi–Yau spaces: the geometry of backgrounds with flux

Half‐Maximal Supersymmetry from Exceptional Field Theory

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