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.
The shape of non-graviton operators forSU(2)
11 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.
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.
The 3|2 super-Chevalley restriction map fails to be an isomorphism for so(7) due to a non-Cartan class; explicit fortuitous classes counter stable-image expectations for sl(2) and so(7); relative cohomologies of (so7, sp6) are not isomorphic classically.
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.
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.
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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Constrained particle on a group: from propagators to correlators
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.
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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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Fortuity beyond counting: an explicit construction
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.
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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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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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Finite scalar field theory with SU(1,1) spacetime symmetry from near-BPS limits of $\mathcal{N}=4$ SYM
A non-Lorentzian scalar QFT with SU(1,1) symmetry obtained from N=4 SYM is finite at all orders in perturbation theory.
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Super-Chevalley Restriction and Relative Lie Algebra Cohomology over the 2|3 Algebra
The 3|2 super-Chevalley restriction map fails to be an isomorphism for so(7) due to a non-Cartan class; explicit fortuitous classes counter stable-image expectations for sl(2) and so(7); relative cohomologies of (so7, sp6) are not isomorphic classically.
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Quantum black hole cohomologies
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.
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Fortuity and Complexity in a Simple Quark Model
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.
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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.