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.
Elliptic Genera of Symmetric Products and Second Quantized Strings
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abstract
In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N-fold symmetric product $M^N/S_N$ of a manifold M to the partition function of a second quantized string theory on the space $M \times S^1$. The generating function of these elliptic genera is shown to be (almost) an automorphic form for O(3,2,Z). In the context of D-brane dynamics, this result gives a precise computation of the free energy of a gas of D-strings inside a higher-dimensional brane.
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The Hartle-Hawking state for toroidal quantum cosmologies is expressed in the Langlands decomposition as a sum over zeta zeros whose near-singularity dynamics follow the Hilbert-Pólya Hamiltonian and as a Möbius average of CFT partition functions.
The limit shape in the double-elliptic generalization of the Vershik-Kerov problem is governed by a genus two algebraic curve.
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.
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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M\"obius randomness in the Hartle-Hawking state
The Hartle-Hawking state for toroidal quantum cosmologies is expressed in the Langlands decomposition as a sum over zeta zeros whose near-singularity dynamics follow the Hilbert-Pólya Hamiltonian and as a Möbius average of CFT partition functions.
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Vershik-Kerov in higher times
The limit shape in the double-elliptic generalization of the Vershik-Kerov problem is governed by a genus two algebraic curve.
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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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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.