Summing non-perturbative contributions in the gravitational path integral, extended via matrix integral saddles including one- and two-eigenvalue instantons, resolves negativity of bulk entropies in two-sided black holes.
Liouville field theory on a pseudosphere
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abstract
Liouville field theory is considered with boundary conditions corresponding to a quantization of the classical Lobachevskiy plane (i.e. euclidean version of $AdS_2$). We solve the bootstrap equations for the out-vacuum wave function and find an infinite set of solutions. This solutions are in one to one correspondence with the degenerate representations of the Virasoro algebra. Consistency of these solutions is verified by both boundary and modular bootstrap techniques. Perturbative calculations lead to the conclusion that only the ``basic'' solution corresponding to the identity operator provides a ``natural'' quantization of the Lobachevskiy plane.
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Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.
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Explicit computation of instanton-induced amplitudes in minimal superstring theories at subleading order, after regulating open-string degenerations with string field theory, yields exact agreement with DDK-KPZ scaling.
Disk path integrals of timelike Liouville theory yield one-loop Hartle-Hawking-like wavefunctions in a fixed extrinsic-curvature representation, with a conjectured all-loop form and a K-independent pairing that may define a cosmological inner product.
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Living on the edge: a non-perturbative resolution to the negativity of bulk entropies
Summing non-perturbative contributions in the gravitational path integral, extended via matrix integral saddles including one- and two-eigenvalue instantons, resolves negativity of bulk entropies in two-sided black holes.
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Complex Conformal Manifolds
Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.
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An observer's quantization of 3d de Sitter
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.
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Instanton-Induced Closed-String Amplitudes in Minimal Superstring Theory at Subleading Order
Explicit computation of instanton-induced amplitudes in minimal superstring theories at subleading order, after regulating open-string degenerations with string field theory, yields exact agreement with DDK-KPZ scaling.
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Quantum Liouville Cosmology
Disk path integrals of timelike Liouville theory yield one-loop Hartle-Hawking-like wavefunctions in a fixed extrinsic-curvature representation, with a conjectured all-loop form and a K-independent pairing that may define a cosmological inner product.
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All the D-Branes of Resurgence
Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.