A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states and Hawking-Page transition in the large-c limit.
Afkhami-Jeddi, H
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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.
Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.
The Zamolodchikov metric in Narain CFTs is realized using the Cartan matrix K_g and its inverse from finite-dimensional Lie algebras g.
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
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A solvable model of 3d quantum gravity
A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states and Hawking-Page transition in the large-c limit.
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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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Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.
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Algebraic Realisation of the Zamolodchikov Metric in Narain Theories
The Zamolodchikov metric in Narain CFTs is realized using the Cartan matrix K_g and its inverse from finite-dimensional Lie algebras g.
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Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.