BMN Vacua, Superstars and Non-Abelian T-duality

Abstract

Acting with non-Abelian T-duality on the $S^3$ inside the $Ad{S}_5$ subspace of $Ad{S}_5\times S^5$ with $N$ units of flux, we generate a new half-BPS solution with $SU(2|4)$ symmetry that belongs to the Lin-Lunin-Maldacena class of geometries. The analysis of the asymptotics, quantised charges and probe branes in this geometry suggests an interpretation as the gravity dual to the Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum associated to a partition of $N$, in which the multiplicity of each $SU(2)$ irreducible representation is equal to its dimension. This vacuum is interpreted in M-theory in terms of giant gravitons backreacting in the maximally supersymmetric pp-wave geometry. Consistently with this, we show that the non-Abelian T-dual solution exactly agrees with the Penrose limit of the superstar solution in $Ad{S}_7\times S^4$. This suggests an interesting global completion of the non-Abelian T-dual solution in terms of an M5-brane geometry.

28 pages, discussion in section 5.1 improved, results unchanged, reference added. Matches published version

References in corpus (77)

• The Large N Limit of Superconformal Field Theories and Supergravity
• M Theory As A Matrix Model: A Conjecture
• String Theory Dynamics In Various Dimensions
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Dielectric-Branes
• Supergravity description of field theories on curved manifolds and a no go theorem
• Bubbling AdS space and 1/2 BPS geometries
• Lectures on supersymmetric gauge theories and electric-magnetic duality
• Duality, Quotients, and Currents
• The String Dual of a Confining Four-Dimensional Gauge Theory
• Duality Symmetries from Non--Abelian Isometries in String Theories
• U-duality and M-Theory
• Dual Non-Abelian Duality and the Drinfeld Double
• Some Global Aspects of Duality is String Theory
• Matrix Perturbation Theory For M-theory On a PP-Wave
• On non-abelian T-dual geometries with Ramond fluxes
• On Nonabelian Duality
• Fivebranes from gauge theory
• On Non-Abelian Duality
• The Library of Babel: On the origin of gravitational thermodynamics
• Transverse Fivebranes in Matrix Theory
• A Canonical Approach to Duality Transformations
• Supersymmetric AdS_6 via T-duality
• 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
• Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds
• Integrable deformations of T-dual $\sigma$ models
• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• Non-Abelian Duality and Canonical Transformations
• Supersymmetry and non-Abelian T-duality in type II supergravity
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Hints of 5d Fixed Point Theories from Non-Abelian T-duality
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Non-Abelian T-duality and consistent truncations in type-II supergravity
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Almost abelian twists and AdS/CFT
• Remarks on Non-Abelian Duality
• On Non-Abelian T-Duality and new N=1 backgrounds
• The BFSS model on the lattice
• An alternative IIB embedding of F(4) gauged supergravity
• 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
• Non--Abelian Duality, Parafermions and Supersymmetry
• Multiscale confining dynamics from holographic RG flows
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• The type IIA NS5--Brane
• non-Abelian T-duality, G2-structure Rotation and Holographic Duals of N=1 Chern-Simons Theories
• New $\mathcal{N}=1$ supersymmetric $Ad{S}_5$ backgrounds in Type IIA supergravity
• New Type IIB Backgrounds and Aspects of Their Field Theory Duals
• Dualising the Baryonic Branch: Dynamic SU(2) and confining backgrounds in IIA
• Little String Theory from a Double-Scaled Matrix Model
• High spin limits and non-abelian T-duality
• Marginal and non-commutative deformations via non-abelian T-duality
• Holographic Flows in non-Abelian T-dual Geometries
• Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N
• Semiclassical strings and Non-Abelian T-duality
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality
• The Supergravity Dual of the BMN Matrix Model
• Instantons, supersymmetric vacua, and emergent geometries
• Field Theory Aspects of non-Abelian T-duality and N=2 Linear Quivers
• Higher dimensional conformal field theories in the Coulomb branch
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
• 1/2 BPS Geometries of M2 Giant Gravitons
• Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background
• A microscopic description of black hole evaporation via holography
• Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
• Non-Abelian T-duality for nonrelativistic holographic duals
• The electrostatic view on M-theory LLM geometries
• Dualities of Fields and Strings
• Supersymmetric IIB Background with AdS_4 Vacua from Massive IIA Supergravity
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• Supergravity from D0-brane Quantum Mechanics
• Non-Abelian T-Dualizing the Resolved Conifold with Regular and Fractional D3-Branes
• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
• Coarse-Graining the Lin-Maldacena Geometries
• Mesons from (non) Abelian T-dual backgrounds

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• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• 1/4 BPS AdS${}_3$/CFT${}_2$
• 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
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries
• Double and cyclic $\lambda$-deformations and their canonical equivalents
• Penrose limits of Abelian and non-Abelian T-duals of $Ad{S}_5\times S^5$ and their field theory duals
• On non-Abelian T-duality for non-semisimple groups
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• AdS${}_2$ geometries and non-Abelian T-duality in non-compact spaces
• Non-abelian T-folds
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• AdS solutions and $\lambda$-deformations
• A Type IIB Matrix Model via non-Abelian T-dualities
• Plane-parallel waves as duals of the flat background III: T-duality with torsionless $B$-field
• Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS${}_5\times$S${}^5$
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• Nonrelativistic strings and the limits of $\mathcal{N}=2$ dualities