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

Abstract

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.

34 pages, v2, wording improved, references updated, v3 references added, matches published version; v4 signs in section 6 changed to make consistent with earlier sections, erroneous statement about supersymmetry of AdS3 S3 S3 S1 non-Abelian T-dual corrected, reference added

References in corpus (28)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Double Field Theory
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Four-Dimensional SCFTs from M5-Branes
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• On non-abelian T-dual geometries with Ramond fluxes
• The gravity duals of N=2 superconformal field theories
• Integrable Deformations of Strings on Symmetric Spaces
• The Holographic Dual of AdS3 x S3 x S3 x S1
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Sasaki-Einstein Metrics on S^2 x S^3
• Gauge/Gravity Duality and Warped Resolved Conifold
• Hints of 5d Fixed Point Theories from Non-Abelian T-duality
• On Marginal Deformations and Non-Integrability
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• non-Abelian T-duality, G2-structure Rotation and Holographic Duals of N=1 Chern-Simons Theories
• The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
• T-duality in Ramond-Ramond backgrounds
• New $\mathcal{N}=1$ supersymmetric $Ad{S}_5$ backgrounds in Type IIA supergravity
• Dualising the Baryonic Branch: Dynamic SU(2) and confining backgrounds in IIA
• New Type IIB Backgrounds and Aspects of Their Field Theory Duals
• Semiclassical strings and Non-Abelian T-duality
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
• On T-duality transformations for the three-sphere
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• Killing spinors of some supergravity solutions

Cited by in corpus (64)

• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Doubled aspects of generalised dualities and integrable deformations
• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• Janus solutions in six-dimensional gauged supergravity
• AdS${}_3$ solutions with exceptional supersymmetry
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• 3D supergravity from wrapped M5-branes
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• BMN Vacua, Superstars and Non-Abelian T-duality
• Marginal and non-commutative deformations via non-abelian T-duality
• Penrose limits of Abelian and non-Abelian T-duals of $Ad{S}_5\times S^5$ and their field theory duals
• Mass deformations of 5d SCFTs via holography
• Holographic Flows in non-Abelian T-dual Geometries
• Holographic line defects in F(4) gauged supergravity
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Non-Abelian T-duality as a Transformation in Double Field Theory
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
• AdS${}_2$ geometries and non-Abelian T-duality in non-compact spaces
• Yang-Baxter deformations and generalized supergravity -- A short summary
• Embedding the modified CYBE in Supergravity
• Non-Abelian T-duality for nonrelativistic holographic duals
• Entanglement entropy and Fisher information metric for closed bosonic strings in homogeneous plane wave background
• Non-abelian T-duality of Pilch-Warner background
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• A Type IIB Matrix Model via non-Abelian T-dualities
• Supersymmetric IIB Background with AdS_4 Vacua from Massive IIA Supergravity
• D-branes and non-Abelian T-duality
• Supersymmetric AdS${}_5$ solutions of type IIB supergravity without D3 branes
• All symmetric AdS(n>2) solutions of type II supergravity
• Mink${}_3\times S^3$ solutions of type II supergravity
• Non-Abelian T-Dualizing the Resolved Conifold with Regular and Fractional D3-Branes
• Killing spinors from classical r-matrices
• Timelike structures of ten-dimensional supersymmetry
• Mesons from (non) Abelian T-dual backgrounds
• New ${\text{AdS}}_2/{\text{CFT}}_1$ pairs from ${\text{AdS}}_3$ and monopole bubbling
• Comments on non-Abelian T-duals and their holographic description
• Type IIA embeddings of $D=5$ minimal gauged supergravity via Non-Abelian T-duality
• A Nonabelian Particle-Vortex Duality
• Entanglement of higher-derivative oscillators in holographic systems
• SUSY and the bi-vector
• T-duality transformations for the NS5-brane along angular directions
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
• The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective
• The non-Abelian T-dual of Klebanov-Witten Background and its Penrose Limits
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• Marginally deformed AdS${}_5$/CFT${}_4$ Backgrounds in Type IIB
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• Penrose limits in non-Abelian T-dual of Klebanov-Tseytlin Background
• Extended Field Theories as higher Kaluza-Klein theories
• Penrose limits in massive type-IIA AdS${}_3$ background
• Generalised U-dual solutions in supergravity