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A Large-N Reduced Model as Superstring
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A matrix model which has the manifest ten-dimensional N=2 super Poincare invariance is proposed. Interactions between BPS-saturated states are analyzed to show that massless spectrum is the same as that of type IIB string theory. It is conjectured that the large-N reduced model of ten-dimensional super Yang-Mills theory can be regarded as a constructive definition of this model and therefore is equivalent to superstring theory.
Forward citations
Cited by 29 Pith papers
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An effective field theory approach to the sign problem in BFSS
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From Horizon Microstates to the Black Hole Membrane
A matrix model of black hole microstates is claimed to explain the membrane paradigm: horizon fermions form Landau levels and a condensed interface transfers their current to the exterior Maxwell field.
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Derivation of the NS5-brane limit of the plane wave matrix model
A double-scaling limit of the BMN/plane-wave matrix model is derived analytically and produces an eigenvalue integral for the 1/4-BPS sector of IIA little string theory on R×S⁵.
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Quantum Horizon and Quantum Membrane Paradigm from Black Hole Quantum Mechanics
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The weighted partition numbers of d-matrix theory admit an all-orders asymptotic expansion that switches from divergent to convergent at d=13 (bosonic) or 7 (fermionic).
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Bootstrapping Yang-Mills matrix integrals
Bootstrap bounds on ⟨tr XX⟩ and ⟨tr XXXX⟩ in D-matrix Yang-Mills integrals shrink to islands matching Monte Carlo, with large-D trajectories guiding a positivity-free ansatz.
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A regularized finite-dimensional master field numerically solves large-N reduced matrix models, reproducing exact Euclidean solutions and perturbative Minkowski results for one- and two-matrix cases.
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Additional constraints for the tensor bootstrap
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Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics
SO(d) and O(d) invariant sectors of d-matrix QM show negative microcanonical heat capacity that becomes positive at k_crit ~ N^2/4, forming a caloric fold similar to AdS black holes.
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A Matrix Theory Construction of the IIA/IIB Wall
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Fuzzy Black Holes from Mass Generation in Matrix Compactification
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Carroll Geometry Meets De Sitter Space via Holography
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Fuzzy-Space Engineering
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Simulating matrix models with tensor networks
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Worldsheet Formalism for Decoupling Limits in String Theory
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Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D
Gram/Wishart/Stiefel reformulation of N=2 large-d BFSS/BMN endpoints absorbs -A into a shifted mass and recovers the universal continuum -2d DΛ-channel after non-polynomial transverse completion.
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The IKKT renormalization group flow is IIB: toward zero-d holography
IKKT RG flow via Coulomb branch integration and BZJ flow reproduces the N-dependence of the axio-dilaton in IIB supergravity for D-instantons.
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Description of curved spacetimes by finite-size matrices in the type IIB matrix model
A regularization technique based on Berezin-Toeplitz quantization is introduced to represent curved spacetimes such as tori and the two-sphere with finite matrices in the type IIB matrix model.
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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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Off-Shell Supersymmetry Algebra in the Lorentzian IIB Matrix Model: Algebraic Constraints and a $\kappa$-Minkowski-Like Sector
Off-shell supersymmetry closure in the Lorentzian IIB matrix model algebraically decouples the internal sector and selects a κ-Minkowski-like algebra in the macroscopic four-dimensional sector when spatial isotropy is...
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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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Monte Carlo studies of the emergent spacetime in the polarized IKKT model
For N=2, the polarized IKKT model is dominated by diverging commuting matrices at small Omega and by the fuzzy sphere at large Omega, with a smooth saddle connection between the two regimes.
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Instabilities in scale-separated Casimir vacua
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
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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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Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling
In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.
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Big Bang as spacetime defect
The Big Bang singularity is replaced by a degenerate-metric spacelike defect, yielding a smooth bounce with finite curvature and a second world on the other side.
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Noncommutative Gauge Theories and Gravity
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.
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