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Supersymmetry and non-Abelian T-duality in type II supergravity

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arxiv 1409.7406 v4 pith:H2CMNNRK submitted 2014-09-25 hep-th

Özgür Kelekci , Yolanda Lozano , Niall T. Macpherson , Eoin Ó Colgáin This is my paper · ORCID
classification hep-th
keywords t-dualitysupersymmetrynon-abeliansupergravitysymmetrytypevariationsabelian
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the effect of T-duality on supersymmetry in the context of type II supergravity. For both U(1) Abelian and SU(2) non-Abelian T-duality, we demonstrate that the supersymmetry variations after T-duality are related to the variations before T-duality through the Kosmann spinorial Lie derivative, which vanishes when the Killing spinors are independent of the T-duality directions. As a byproduct of our analysis, we present closed expressions for SU(2) T-duality in a class of spacetimes with diagonal Bianchi IX symmetry and comment on specific examples of T-dual geometries, including a novel AdS3 geometry with large N = (0,4) superconformal symmetry.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Supersymmetric $\mathbb{WCP}^n$, AdS near horizons and orbifolds

    hep-th 2025-11 conditional novelty 7.0 of 10

    Weighted projective spaces WCP² and WCP³ can be made supersymmetric for tuned integer weights, yielding new AdS₅×WCP²×S¹, AdS₄×WCP³, and AdS₃×WT(1,1) supergravity solutions.

  2. Circle compactifications of Minkowski$_D$ solutions, flux vacua and solitonic branes

    hep-th 2024-12 conditional novelty 7.0 of 10

    A 'supersymmetry generating' circle compactification technique for type II supergravity is derived and applied to construct new Minkowski flux vacua and generalized solitonic branes.

  3. AdS$_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry

    hep-th 2019-08 conditional novelty 7.0 of 10

    Two new classes of AdS3 x S2 solutions in massive IIA with small N=(4,0) supersymmetry are derived, along with their T-dual IIB counterparts.

  4. Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity

    hep-th 2019-09 conditional novelty 6.0 of 10

    Wrapped D4-branes in Romans F(4) gauged supergravity are mapped to supersymmetric and non-supersymmetric AdS vacua, with new non-BPS AdS2 solutions whose stability is checked against the Breitenlohner-Freedman bound.

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