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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Fortuity with a single matrix
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The supersymmetric index in a one-fermion matrix model for N=4 SYM is independent of N due to exact cancellations between bosonic and fermionic trace relations.
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.
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.
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.
citing papers explorer
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The Resolved Elliptic Genus and the D1-D5 CFT
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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Fermionic trace relations and supersymmetric indices at finite $N$
The supersymmetric index in a one-fermion matrix model for N=4 SYM is independent of N due to exact cancellations between bosonic and fermionic trace relations.
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Chaos of Berry curvature for BPS microstates
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.
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Secondary invariants and non-perturbative states
In simple zero-dimensional matrix models the secondary invariants of the gauge-invariant ring correspond to distinguished non-perturbative states.
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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.
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Chaos-Integrability Transition in the BPS Subspace of the $\mathcal{N}=2$ SYK Model
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.
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Signatures of Quantum Chaos in the D1D5 System
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.
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BPS spectra of $\operatorname{tr}[\Psi^p]$ matrix models for odd $p$
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.
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Towering Gravitons in AdS$_3$/CFT$_2$
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.