Penrose limits of Abelian and non-Abelian T-duals of $Ad{S}_5\times S^5$ and their field theory duals

Abstract

We consider the backgrounds obtained by Abelian and non-Abelian T-duality applied on $Ad{S}_5\times S^5$. We study geodesics, calculate Penrose limits and find the associated plane-wave geometries. We quantise the weakly coupled type-IIA string theory on these backgrounds. We study the BMN sector, finding operators that wrap the original quiver CFT. For the non-Abelian plane wave, we find a 'flow' in the frequencies. We report some progress to understand this, in terms of deconstruction of a higher dimensional field theory. We explore a relation with the plane-wave limit of the Janus solution, which we also provide.

57 pages, no figures

References in corpus (10)

• On non-abelian T-dual geometries with Ramond fluxes
• The gravity duals of N=2 superconformal field theories
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• New $\mathcal{N}=1$ supersymmetric $Ad{S}_5$ backgrounds in Type IIA supergravity
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality
• Non-Abelian T-Dualizing the Resolved Conifold with Regular and Fractional D3-Branes

Cited by in corpus (19)

• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• The non-Integrability of Strings in Massive Type IIA and their Holographic duals
• Non-abelian T-folds
• Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity Equations
• AdS solutions and $\lambda$-deformations
• Spin-2 excitations in Gaiotto-Maldacena solutions
• D-branes and non-Abelian T-duality
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• Poisson-Lie T-plurality revisited. Is T-duality unique?
• Poisson-Lie identities and dualities of Bianchi cosmologies
• On pp wave limit for $\eta$ deformed superstrings
• Penrose limit of MNa solution and spin chains in three-dimensional field theories
• T-folds as Poisson-Lie plurals
• The non-Abelian T-dual of Klebanov-Witten Background and its Penrose Limits
• Type-II backgrounds from deformed coset CFTs
• $T\bar{T}$ deformations and the pp wave correspondence
• Penrose limits in non-Abelian T-dual of Klebanov-Tseytlin Background
• Penrose limits in massive type-IIA AdS${}_3$ background