In reduced BMN matrix models, Lanczos coefficients scale linearly with the mass parameter, producing quadratic corrections to early-time Krylov complexity growth at the same order for both state and operator versions.
The String Dual of a Confining Four-Dimensional Gauge Theory
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study N=1 gauge theories obtained by adding finite mass terms to N=4 Yang-Mills theory. The Maldacena dual is nonsingular: in each of the many vacua, there is an extended brane source, arising from Myers' dielectric effect. The source consists of one or more (p,q) 5-branes. In particular, the confining vacuum contains an NS5-brane; the confining flux tube is a fundamental string bound to the 5-brane. The system admits a simple quantitative description as a perturbation of a state on the N=4 Coulomb branch. Various nonperturbative phenomena, including flux tubes, baryon vertices, domain walls, condensates and instantons, have new, quantitatively precise, dual descriptions. We also briefly consider two QCD-like theories. Our method extends to the nonsupersymmetric case. As expected, the N=4 matter cannot be decoupled within the supergravity regime.
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Singular (gauge) theories with a global scaling symmetry can be reduced to an equivalent frictional theory, and the order of constraint-imposition and scale-reduction does not matter.
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
In the BMN matrix model and its holographic duals, Krylov basis states and Lanczos coefficients are uniquely fixed by the model's mass parameter.
A review of branes in string theory covering their multiple descriptions and interaction phenomena.
citing papers explorer
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Krylov Complexity for Plane Wave Matrix Model
In reduced BMN matrix models, Lanczos coefficients scale linearly with the mass parameter, producing quadratic corrections to early-time Krylov complexity growth at the same order for both state and operator versions.
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Gauge Symmetries, Contact Reduction, and Singular Field Theories
Singular (gauge) theories with a global scaling symmetry can be reduced to an equivalent frictional theory, and the order of constraint-imposition and scale-reduction does not matter.
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Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
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Krylov complexity for Lin-Maldacena geometries and their holographic duals
In the BMN matrix model and its holographic duals, Krylov basis states and Lanczos coefficients are uniquely fixed by the model's mass parameter.
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Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.