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Eberhardt, Lorenz

Supersymmetric \(\mathrm{AdS}_{3}\) supergravity backgrounds and holography. (English) Zbl 1387.83102

J. High Energy Phys. 2018, No. 2, Paper No. 87, 24 p. (2018).
Summary: We analyse the conditions for \(\mathrm{AdS}_{3} \times {\mathcal{M}}_7\) backgrounds with pure NS-NS flux to be supersymmetric. We classify all \( \mathcal{N}=\left(2, 2\right) \) solutions where \({\mathcal{M}}_7\) satisfies the stronger condition of being a U(1)-fibration over a Kähler manifold. We compute the BPS spectrum of all the backgrounds in this classification. We assign a natural dual CFT to the backgrounds and confirm that the BPS spectra agree, thus providing evidence in favour of the proposal.

Cited in 26 Documents

MSC:

83E50 Supergravity
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T60 Supersymmetric field theories in quantum mechanics
53B35 Local differential geometry of Hermitian and Kählerian structures

Keywords:

supergravity models; AdS-CFT correspondence; superstring vacua
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\textit{L. Eberhardt}, J. High Energy Phys. 2018, No. 2, Paper No. 87, 24 p. (2018; Zbl 1387.83102)
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