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M Theory As A Matrix Model: A Conjecture
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We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity limit of the supersymmetric matrix quantum mechanics describing D0-branes. The evidence for the conjecture consists of several correspondences between the two theories. As a consequence of supersymmetry the simple matrix model is rich enough to describe the properties of the entire Fock space of massless well separated particles of the supergravity theory. In one particular kinematic situation the leading large distance interaction of these particles is exactly described by supergravity . The model appears to be a nonperturbative realization of the holographic principle. The membrane states required by M-theory are contained as excitations of the matrix model. The membrane world volume is a noncommutative geometry embedded in a noncommutative spacetime.
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Showing 60 of 64 Pith papers that cite this
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A Novel Matrix Model for the M5-brane?
A maximally supersymmetric formal extension of BFSS by a 5-bracket exists once the 2-bracket structure constants are promoted to a dynamical self-dual field subject to Filippov and BPS quadratic constraints.
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An effective field theory approach to the sign problem in BFSS
The Pfaffian phase in BFSS becomes an O(9) pseudoscalar operator in a bosonic matrix integral, requiring 10-loop order in the high-T expansion before the sign problem is detectable in the 't Hooft regime.
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From Galilei to Euclidean Carroll and the Alice Particle: The Times They Are a-Changin'
Making time transversal turns p-brane Galilei limits into Euclidean p-brane Carroll limits, yielding for p=0 a centrally extended Alice algebra and Alice particle obtained from critical tachyon limits or two-time null...
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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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On the strong coupling limit of Yang-Mills matrix models
In mass-deformed Yang–Mills matrix models, strong-coupling commutativity sets in at or above the critical fermion count N_c = 2(D−2), with the supersymmetric models sitting at the critical boundary where huge-operator...
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An exact algorithm for U(N) matrix models in the gauge-invariant singlet sector
A group-theoretic algorithm computes U(N)-singlet Hamiltonian matrix elements as closed-form polynomials in N, validated for one matrix against the exact fermion mapping.
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Quantum Horizon and Quantum Membrane Paradigm from Black Hole Quantum Mechanics
Horizon partons on the fuzzy sphere form lowest-Landau-level states under an intrinsic Berry monopole, generating Ohmic, Hall and polarization currents that a link-field condensate locks to the bulk Maxwell field, yie...
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A Double--Scaling Large--\(d\) Saddle of BFSS/BMN Matrix Quantum Mechanics
A double-scaling large-d saddle for mass-deformed BFSS/BMN matrix QM interpolates between commutator-dominated and mass-dominated regimes, yielding BFSS_{2}-like low-T uniform-holonomy dynamics and IKKT-like high-T al...
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Critical dimensions and small cycle dominance from all-orders asymptotics of $d$-matrix theory
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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Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model
The paper proposes that condensate competition in the 2d Gross-Neveu model generates an emergent AdS₃ bulk, a higher-spin tower, D1-branes, and linearized Einstein gravity with G₃ = ℓ_AdS/4πN².
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Bootstrapping Euclidean Two-point Correlators
A semidefinite programming bootstrap is formulated for Euclidean two-point correlators in quantum mechanics, yielding rigorous bounds and low-lying spectrum extraction in the ungauged one-matrix model.
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Revisiting Schr\"odinger CFTs: Factorization, Massless Particles, and a Path to the Bootstrap
Schrödinger CFTs are reformulated via a harmonic-trap thermofield double, giving a state-operator correspondence for all operators and a factorization proof of non-renormalization.
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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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Probing Non-Graviton Spectra in $\mathcal{N}=4$ SYM via BMN truncation and S-Duality
The BMN index of N=4 SYM contains universal non-graviton bosonic towers, and the S-duality mismatch between SO(7) and Sp(3) pinpoints a non-graviton cohomology.
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Classical BPS M5-brane on the plane wave background
The authors derive explicit rotating ellipsoidal M5-brane solutions that saturate the BPS bound on the plane wave background.
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Effective Field Theory of Noncritical M-theory from Bosonization
Coadjoint-orbit bosonization of the Hořava-Keeler noncritical M-theory Fermi liquid yields a continuous family of interacting 1+1d chiral bosons whose density correlators match the exact Fermi liquid semiclassically.
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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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Holographic timelike complexity for de Sitter
Timelike subregion volume complexity in de Sitter grows exponentially early and diverges hyperfast at a maximal duration; near the SdS black hole horizon the divergence is replaced by slower, claimed-nonlinear growth.
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The black hole S-matrix in gauge/gravity duality
A unitary black hole S-matrix is built in AdS/CFT via collapsing brane shells; the black hole decays by exponentially rare brane emission, and the emitted branes are argued to be the original constituents, resolving t...
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Additional constraints for the tensor bootstrap
New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.
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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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Mass-Flow Invariance of $Q$-Cohomology in BMN Matrix Quantum Mechanics
Q-cohomology in BMN matrix QM is mass-flow invariant via a similarity transformation of the nilpotent supercharge component.
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Wilson coefficients from a non-renormalization theorem in 2D SYM
Non-renormalization in UV 2D SYM fixes the Wilson coefficient of the DVV operator in the IR orbifold CFT, consistent with matrix string theory.
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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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Finite-$N$ BMN index across all vacuum sectors
Finite-N BMN index summed over all vacuum sectors for N≤9 reveals order-N² entropy growth that survives the sum and dominance switching from single- to double-partition sectors starting at N=5.
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A Matrix Theory Construction of the IIA/IIB Wall
A lightlike IIA/IIB domain wall is constructed at zero string coupling by gauging (−1)^{F_L} in matrix string theory, turning BPS IIA D0-branes into non-BPS IIB D0-branes.
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Twisting BFSS & IKKT
The minimal supersymmetric twists of the IKKT and BFSS matrix models are computed in BV-BRST cohomology and matched, in the planar limit, to BCOV-type twisted IIB and IIA supergravity; the non-minimal twists are local...
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Celestial Regge theory
Celestial pair correlators in the Regge limit are shown to encode bulk Regge-pole residues, giving a dictionary between celestial CFT OPE data and bulk partial amplitudes (eq. 5.6).
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Fuzzy Black Holes from Mass Generation in Matrix Compactification
Compactifying BFSS on T^3 with mixed fermion boundary conditions yields a mass-deformed theory whose fuzzy-sphere plus fermion configurations are proposed as Schwarzschild black holes with entropy S∼N.
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High-Precision Bootstrap of Multimatrix Quantum Mechanics
Semidefinite bootstrap bounds fix the large-N ground-state energy and ⟨trX²⟩ of bosonic matrix quantum mechanics to up to eight significant digits.
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Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice
The Kogut-Susskind Hamiltonian is recovered from the orbifold lattice Hamiltonian in the infinite scalar mass limit, with numerical confirmation for SU(2) and SU(3) Yang-Mills theory in 2+1 dimensions.
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Double-Scaled SYK, QCD, and the Flat Space Limit of de Sitter Space
Double-scaled SYK perturbation theory has a fixed lambda (flat-space) limit whose genus expansion mirrors the fixed gauge coupling limit of large N QCD.
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Fuzzy-Space Engineering
A 30-node graph encoded into matrices yields a zero-mode surface that visually represents a two-dimensional Trefoil knot, demonstrating graph-based fuzzy-geometry visualization.
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Finite-temperature phase diagram of the BMN matrix model on the lattice
Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.
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Krylov Complexity in Mixed Phase Space
The Krylov complexity peak height correlates with the Brody parameter in mixed-phase-space quantum systems, diminishing as the spectrum becomes Poissonian.
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Simulating matrix models with tensor networks
Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...
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Spread complexity and the saturation of wormhole size
For finite-N DSSYK, the chord basis is the early part of the physical Krylov basis, and spread complexity, taken as the non-perturbative ER bridge size, saturates after a universality-class-dependent peak and slope.
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An extremal black hole with a unique ground state
Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.
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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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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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Singularities, Entropy and the Arrow of Time, {\it or} Is CRT a Gauge Symmetry in Quantum Gravity?
CRT is an asymptotic gauge symmetry in flat/AdS quantum gravity, not a true gauge symmetry, and is absent or only spontaneously broken under special untestable conditions in de Sitter cosmologies.
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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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BPS Non-Renormalization in the BMN Matrix Model
Conjugation deformations preserve normalizability in the BMN matrix model, implying BPS states do not lift and their unsigned number is invariant except at the free and BFSS points.
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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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Krylov complexity from a simple quantum mechanical model for a radiating black hole
A simplified mini-BMN matrix model for a radiating black hole exhibits early-time chaotic growth of Krylov complexity followed by late-time saturation to a plateau consistent with equilibration.
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Supersymmetric quantum mechanics from wrapped D4-branes
New families of t×M4-sliced domain-wall solutions in six-dimensional maximal gauged supergravity are built, uplifted to type IIA, and filtered by the Maldacena-Nuñez criterion to identify candidate holographic duals o...
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M2-branes, Higher Form Symmetries and 1-Gerbes
A torsion gerbe on the M2-brane worldvolume cancels a mixed higher-form anomaly, breaking U(1) symmetries to discrete subgroups and imposing a worldvolume flux condition.
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Pure D-brane Black Holes: BPS Counting and non-BPS Vacua
The (1,1,1,5) and (1,1,1,6) D2-D2-D2-D6 BPS systems yield 2032 and 5616 vacua, matching U-duality, while the analogous non-BPS system has no zero-energy vacua and six doubly-degenerate low-energy minima.
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A Soft Theorem from vertex-like operators in BFSS Theory
In the large-distance effective theory of BFSS, graviton-like vertex operators are shown to have correlators that factorize in the soft limit at leading and subleading order, matching the predicted BFSS soft theorem.
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On the Underlying Nonrelativistic Nature of Relativistic Holography
Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
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A Central Charge for sub-AdS Holography
Sub-AdS scales are mapped to sub-stacks of M < N D-branes, yielding a scale-dependent central charge c(R0) = (R0/L)^{d+q-1} c(L), with consistency checks from small black holes and Dp-brane theories.
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Comments on firewalls in JT gravity with matter
A twist factor cutoff from eigenvalue branes reproduces the gray hole firewall probabilities in JT gravity, with matter loop corrections subleading at late times.
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Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
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Bose-Einstein condensation and superfluidity on a fuzzy sphere
The paper derives enhanced BEC and a Uemura-like linear-in-T superfluid density on a fuzzy sphere, but the enhancement is a finite-mode artifact and the linear-T claim rests on an incorrect large-R expansion.
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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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What does it mean to have a quantum gravitational theory of de Sitter Space?
De Sitter space modeled as a finite quantum system yields ambiguous theories, with local experiments accessing only a tiny fraction of its total information content.
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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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Engineering a Digital Twin for the Monitoring and Control of Beer Fermentation Sampling
An experience report claims a Type 2 digital twin for beer fermentation reduces manual sampling time by 91% and enables control at seven bar.
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