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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8 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We extend the usual world-volume action for a Dp-brane to the case of N coincident Dp-branes where the world-volume theory involves a U(N) gauge theory. The guiding principle in our construction is that the action should be consistent with the familiar rules of T-duality. The resulting action involves a variety of potential terms, i.e., nonderivative interactions, for the nonabelian scalar fields. This action also shows that Dp-branes naturally couple to RR potentials of all form degrees, including both larger and smaller than p+1. We consider the dynamics resulting from this action for Dp-branes moving in nontrivial background fields, and illustrate how the Dp-branes are ``polarized'' by external fields. In a simple example, we show that a system of D0-branes in an external RR four-form field expands into a noncommutative two-sphere, which is interpreted as the formation of a spherical D2-D0 bound state.
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UNVERDICTED 8representative citing papers
Non-abelian branes open a new decay channel for AdS vacua that resist abelian domain-wall destabilizations.
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
The very-low-temperature bosonic singlet spectrum in BFSS_{d+1} is controlled by d(d+1)/2 quadratic Gram operators Tr(X_a X_b), with an exact BFSS_3 = (BFSS_2)^3 factorization at (d,N)=(2,2).
In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.
Establishes equivalence between endpoint and Molien-Weyl formulations for large-d BFSS models on the lattice and derives finite continuum D-channel via a toy holonomy potential model.
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.
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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A weakly non-abelian decay channel
Non-abelian branes open a new decay channel for AdS vacua that resist abelian domain-wall destabilizations.
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Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
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Molien--Weyl Singlet Counting and BFSS$_2$--Factorization in Gaussian Matrix QM
The very-low-temperature bosonic singlet spectrum in BFSS_{d+1} is controlled by d(d+1)/2 quadratic Gram operators Tr(X_a X_b), with an exact BFSS_3 = (BFSS_2)^3 factorization at (d,N)=(2,2).
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On the large N convergence of matrix models
In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.
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Endpoint formulation and Molien--Weyl structure for the \(N=2\), large--\(d\) BFSS/BMN models
Establishes equivalence between endpoint and Molien-Weyl formulations for large-d BFSS models on the lattice and derives finite continuum D-channel via a toy holonomy potential model.
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Multi-Matrix Quantum Mechanics, Collective Fields and Emergent Space
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.
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Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.