In BFSS matrix theory, the sign problem is nonzero at large N but first appears at 10-loop order, giving ⟨cosθ⟩ ≈ exp(−9×10⁻⁹ N²(λβ³)⁵).
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Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills
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We explain how the string spectrum in flat space and pp-waves arises from the large $N$ limit, at fixed $g^2_{YM}$, of U(N) ${\cal N} =4$ super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We give a heuristic argument for why we can neglect other diagrams. We also discuss some other aspects of pp-waves and we present a matrix model associated to the DLCQ description of the maximally supersymmetric eleven dimensional pp-waves.
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For the λ-deformed AdS3×S3×T4 superstring, the tree-level bosonic worldsheet S matrix is purely elastic for 0≤λ<1, confirming integrability, and ill-defined at λ→1, so that limit does not capture T-dual worldsheet dynamics.
A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.
Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.
Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by reduction to Bessel equation.
Holographic Krylov complexity for charged composite and extended probes retains universal leading large-time growth but acquires structure-dependent subleading corrections.
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.
Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.
In SO(d)- and O(d)-invariant sectors of the U(N) d-matrix harmonic oscillator, microcanonical heat capacity is negative at low energy and turns positive at kcrit ~ N^2/4, producing a caloric fold analogous to AdS black holes.
Q-cohomology in BMN matrix QM is mass-flow invariant via a similarity transformation of the nilpotent supercharge component.
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.
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.
For generic Z_L orbifolds, naive reduction of the 10d (α')^3 correction fails to match localisation results for twisted half-BPS correlators except at special L values; expanding a twisted Virasoro-Shapiro amplitude recovers the correct coefficients by accounting for twisted sector resonances.
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
Non-planar corrections lift degeneracies in the spectrum of quarter BPS states in Sym^N(T^4) and introduce level repulsion plus random matrix statistics, showing integrability is restricted to the large N planar limit.
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).
Identification of a new infinite-dimensional asymptotic symmetry algebra with central extensions for the four-dimensional Nappi-Witten spacetime, whose phase space includes general pp-wave metrics and Penrose limits of Kerr black holes.
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.
Near a cusp in the LLM droplet, the geometry acquires a universal ISO(1,3)×SO(5) symmetric form with a naked singularity that traps both massless and massive particles, admitting analytic massless trajectories and hinting at integrability.
Protected and few-body sectors in N=4 SYM exhibit integrable Krylov dynamics with a_n=2Mg and b_n→Mg, insufficient for testing gravitational universality of complexity growth; a finite-density program is proposed to test dependence only on coarse thermodynamic data.
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.
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.
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.
citing papers explorer
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An effective field theory approach to the sign problem in BFSS
In BFSS matrix theory, the sign problem is nonzero at large N but first appears at 10-loop order, giving ⟨cosθ⟩ ≈ exp(−9×10⁻⁹ N²(λβ³)⁵).
-
Tree-level S matrix for $\lambda$-deformed AdS3 strings
For the λ-deformed AdS3×S3×T4 superstring, the tree-level bosonic worldsheet S matrix is purely elastic for 0≤λ<1, confirming integrability, and ill-defined at λ→1, so that limit does not capture T-dual worldsheet dynamics.
-
Circular strings, magnons, plane waves and local quenches in BTZ
A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.
-
Two roads to fortuity in ABJM theory
Enumerates 244 fortuitous operators in ABJM theory and identifies a truncation matching the BMN subsector of N=4 SYM to lift an infinite tower of representatives.
-
Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation
Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by reduction to Bessel equation.
-
Holographic Krylov Complexity for Charged, Composite and Extended Probes
Holographic Krylov complexity for charged composite and extended probes retains universal leading large-time growth but acquires structure-dependent subleading corrections.
-
Groenewold-Moyal twists, integrable spin-chains and AdS/CFT
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
-
Positivity properties of observables in planar maximally supersymmetric Yang-Mills theory
Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.
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Controlled Chaos in 4D SCFTs
Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.
-
Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics
In SO(d)- and O(d)-invariant sectors of the U(N) d-matrix harmonic oscillator, microcanonical heat capacity is negative at low energy and turns positive at kcrit ~ N^2/4, producing a caloric fold analogous 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.
-
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.
-
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.
-
Exploring the twisted sector of $\mathbb{Z}_{L}$ orbifolds: Matching $\alpha'$-corrections to localisation
For generic Z_L orbifolds, naive reduction of the 10d (α')^3 correction fails to match localisation results for twisted half-BPS correlators except at special L values; expanding a twisted Virasoro-Shapiro amplitude recovers the correct coefficients by accounting for twisted sector resonances.
-
Inner Horizon Saddles and a Spectral KSW Criterion
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
-
Non-planar corrections in the symmetric orbifold
Non-planar corrections lift degeneracies in the spectrum of quarter BPS states in Sym^N(T^4) and introduce level repulsion plus random matrix statistics, showing integrability is restricted to the large N planar limit.
-
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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Infinite-dimensional symmetries in plane wave spacetimes
Identification of a new infinite-dimensional asymptotic symmetry algebra with central extensions for the four-dimensional Nappi-Witten spacetime, whose phase space includes general pp-wave metrics and Penrose limits of Kerr black holes.
-
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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Critical Lin-Lunin-Maldacena geometries
Near a cusp in the LLM droplet, the geometry acquires a universal ISO(1,3)×SO(5) symmetric form with a naked singularity that traps both massless and massive particles, admitting analytic massless trajectories and hinting at integrability.
-
On the Universality of Probe Complexity in $\mathcal{N}=4$ SYM
Protected and few-body sectors in N=4 SYM exhibit integrable Krylov dynamics with a_n=2Mg and b_n→Mg, insufficient for testing gravitational universality of complexity growth; a finite-density program is proposed to test dependence only on coarse thermodynamic data.
-
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.
-
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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Heavy holographic correlators in defect conformal field theories
Holographic probe-brane calculations produce defect one- and two-point functions of heavy scalars that match OPE and BOE limits.
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Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills
Holographic minimal-surface calculation maps the Gross-Ooguri phase transition for circular Wilson loops on the Coulomb branch and indicates tree-level exactness for the straight line.
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The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations
Complex Langevin simulations of the deformed Lorentzian type IIB matrix model show emergence of smooth (3+1)-dimensional expanding spacetime with real space and time.
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Uni-vector deformations, D0-bound states and DLCQ
Uni-vector deformations in Type IIA map D0 backgrounds to themselves and generate F1-D0 and D2-D0 bound states while relating to DLCQ of M-theory.
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Penrose limits and TsT for fibered $I$-branes
Analyzes TsT deformations and Penrose limits on fibered I-branes from prior work, finding preserved solvability when TsT precedes the limit and new asymptotically free or parallelizable sectors in the reverse order.
- A Double--Scaling Large--\(d\) Saddle of BFSS/BMN Matrix Quantum Mechanics
- Black hole spectroscopy: from theory to experiment