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.
Connectedness Of The Boundary In The AdS/CFT Correspondence
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abstract
Let $M$ be a complete Einstein manifold of negative curvature, and assume that (as in the AdS/CFT correspondence) it has a Penrose compactification with a conformal boundary $N$ of positive scalar curvature. We show that under these conditions, $H_n(M;Z)=0$ and in particular $N$ must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.
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The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
Wormhole effects in theories with imaginary massless scalars set an upper limit on analytic continuation of couplings to imaginary values, with string theory examples showing the low-energy theory breaks down at or before this bound.
Merons are universal in many non-Abelian gauge theories and source regular black holes and Euclidean wormholes via a non-Abelian Ayón-Beato-García generalization.
A modified semiclassical holographic dictionary is used to construct an extended gravitational path integral that factorizes, reproduces the Page curve for entropy, and includes operators for baby universe states.
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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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AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral
The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
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Wormholes and the imaginary distance bound
Wormhole effects in theories with imaginary massless scalars set an upper limit on analytic continuation of couplings to imaginary values, with string theory examples showing the low-energy theory breaks down at or before this bound.
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Universality of merons in non-Abelian gauge theories
Merons are universal in many non-Abelian gauge theories and source regular black holes and Euclidean wormholes via a non-Abelian Ayón-Beato-García generalization.
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How to have your wormholes and factorize, too
A modified semiclassical holographic dictionary is used to construct an extended gravitational path integral that factorizes, reproduces the Page curve for entropy, and includes operators for baby universe states.