Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$

Abstract

We compute Euclidean Wilson loops for BMN Plane Wave Matrix Models. The stringy counterpart of these Wilson loops corresponds to various semi-classical open string embedding that probe a class of half BPS geometries in Type IIA supergravity. These geometries fall under the general category of Lin-Lunin and Maldacena (LLM). As a special class of solutions within the LLM category, we construct Wilson operators corresponding to the non-Abelian T dual (NATD) of $Ad{S}_5\times S^5$. Our analysis shows close agreement between matrix model and string theory calculations.

arXiv commentversion to appear in Fortschritte der Physik - Progress of Physics

References in corpus (34)

• The Large N Limit of Superconformal Field Theories and Supergravity
• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Dielectric-Branes
• Supergravity description of field theories on curved manifolds and a no go theorem
• Bubbling AdS space and 1/2 BPS geometries
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
• Duality Symmetries from Non--Abelian Isometries in String Theories
• 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
• Fivebranes from gauge theory
• On Non-Abelian Duality
• A Canonical Approach to Duality Transformations
• Higher rank Wilson loops from a matrix model
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Non-Abelian Duality and Canonical Transformations
• Supersymmetry and non-Abelian T-duality in type II supergravity
• Superalgebra for M-theory on a pp-wave
• On the Spectrum of PP-Wave Matrix Theory
• To gauge or not to gauge?
• Non--Abelian Duality, Parafermions and Supersymmetry
• Semi-classical open string corrections and symmetric Wilson loops
• BMN Vacua, Superstars and Non-Abelian T-duality
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Wilson loops in unitary matrix models at finite $N$
• Emergent bubbling geometries in the plane wave matrix model
• 1/2 BPS Geometries of M2 Giant Gravitons
• The electrostatic view on M-theory LLM geometries
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5

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