The resolved elliptic genus refines the supersymmetry index for the D1-D5 CFT by summing only over symmetry sectors that mix under a deformed supercharge, yielding agreement with supergravity below the black-hole threshold where the modified elliptic genus is trivial.
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Holographic covering and the fortuity of black holes
18 Pith papers cite this work. Polarity classification is still indexing.
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Develops a constrained particle-on-group formulation of super-JT gravity that yields super-Schwarzian actions, physical supercharges, and explicit N=2/N=4 three-point functions plus zero-energy OTOCs.
New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.
Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.
In simple zero-dimensional matrix models the secondary invariants of the gauge-invariant ring correspond to distinguished non-perturbative states.
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.
Explicit construction of BPS states in (h,j)=(1,0) sector of D1D5 CFT shows non-vanishing three-point coupling between monotone and fortuitous states, indicating the sectors are dynamically connected.
Q-cohomology in BMN matrix QM is mass-flow invariant via a similarity transformation of the nilpotent supercharge component.
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.
A non-Lorentzian scalar QFT with SU(1,1) symmetry obtained from N=4 SYM is finite at all orders in perturbation theory.
Numerical analysis shows that spectral statistics of a BPS-projected operator in an interpolating N=2 SYK model transition from random-matrix to Poisson behavior as the model moves from chaotic to integrable.
Finite-N non-planar mixing in the D1D5 CFT produces level repulsion and random-matrix statistics in symmetry-resolved sectors, while the planar large-N limit yields Poisson statistics.
Exact BPS spectra for tr(Ψ^p) matrix models at p=5,7 and small N factor as p^k x^{q_min} (1+x)^N times palindromic polynomial, with mod-p index floors bounding large-N growth between log(2 cos(π/2p)) and log 2.
In the SU(2) maximal SYM theory, some fortuitous cohomologies are lifted by 1-loop corrections while the lightest and hairy versions are not, yielding at least 1.2% higher entropy for classical cohomologies than for strictly protected states in the Cardy limit.
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.
In a toy qubit model of quarks, baryons are fortuitous with exponential counting and super-exponential complexity while mesons are monotone with polynomial counting and power-law complexity.
A procedure dresses supergravitons with singletons to extend the BPS gravity-sector spectrum in AdS3/CFT2, yielding affine multiplets that match the D1-D5 CFT better after deformation up to higher levels.
A boundary-anchored brick wall definition in holography matches 't Hooft thermodynamics for BTZ but shows a slightly subleading area-law coefficient in the exact partition function unless the cutoff is trans-Planckian or extra species are added.
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