The super Virasoro minimal string arises from quantizing 3d supergravity, with 0A+ and 0B+ dual to the bosonic minimal string matrix integral, 0B- to one with inverse square root singularity, and 0A- having vanishing non-trivial perturbative amplitudes.
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The complex Liouville string,
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Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
Asymptotics of complex b-6j symbols relate to volume and Gram determinant of hyperideal hyperbolic tetrahedra.
q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.
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.
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on the observer worldline.
The soft mode of DSSYK is dual to 3D near-de Sitter gravity with a localized dS2 slice, where effective actions, entropies, and correlators match via conformal boundary conditions on future and past infinity.
Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-energy spectrum.
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
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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Asymptotics of complex $b$-$6j$ symbols
Asymptotics of complex b-6j symbols relate to volume and Gram determinant of hyperideal hyperbolic tetrahedra.