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Lectures on 2D gravity and 2D string theory (TASI 1992)
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abstract
Emphasis is on 2d target space (c=1 coupled to gravity). Contents: 0. Introduction, Overview, and Purpose 1. Loops and States in Conformal Field Theory 2. 2D Euclidean Quantum Gravity I: Path Integral Approach 3. Brief Review of the Liouville Theory 4. 2D Euclidean Quantum Gravity II: Canonical Approach 5. 2D Critical String Theory 6. Discretized surfaces, matrix models, and the continuum limit 7. Matrix Model Technology I: Method of Orthogonal Polynomials 8. Matrix Model Technology II: Loops on the Lattice 9. Matrix Model Technology III: Free Fermions from the Lattice 10. Loops and States in Matrix Model Quantum Gravity 11. Loops and States in the $c=1$ Matrix Model 12. Fermi Sea Dynamics and Collective Field Theory 13. String scattering in two spacetime dimensions 14. Vertex Operator Calculations and Continuum Methods 15. Achievements, Disappointments, Future Prospects "if you read only one set of lecture notes this year, don't read these."
Forward citations
Cited by 14 Pith papers
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From Matrix Models to Gaussian Molecules and the Einstein-Hilbert Action
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Exact solution of the Seven-Vertex Model on a dynamical lattice
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de Sitter Vacua & pUniverses
The p-Schwinger model on de Sitter space supports p distinct de Sitter-invariant vacua that are Hadamard, and coupling a multi-flavor version to gravity yields a semiclassical de Sitter saddle at large N_f.
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Effective Field Theory of Noncritical M-theory from Bosonization
Coadjoint-orbit bosonization of the Hořava-Keeler noncritical M-theory Fermi liquid yields a continuous family of interacting 1+1d chiral bosons whose density correlators match the exact Fermi liquid semiclassically.
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Aspects of Closed Matricial Worlds
Higher-genus corrections to the 2D de Sitter disk path integral follow a universal structure that at large boundary length mimics topological gravity, with new explicit expressions through genus six.
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The Runkel-Watts string
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The black hole S-matrix in gauge/gravity duality
A unitary black hole S-matrix is built in AdS/CFT via collapsing brane shells; the black hole decays by exponentially rare brane emission, and the emitted branes are argued to be the original constituents, resolving t...
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Group character averages via a single Laguerre
Generic sum rules express arbitrary traces through convolutions of a single Laguerre polynomial for group character averages in Gaussian matrix models.
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Spectral Form Factor of Gapped Random Matrix Systems
In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form fact...
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Networks as the fundamental constituents of the universe
Binary relations on random networks constitute the universe, with space and matter as phases of a statistical model whose Ollivier-Ricci curvature produces emergent 3D geometry, Einstein equations, and relativistic qu...
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Quantum Liouville Cosmology
Timelike Liouville disk path integrals in fixed K-representation produce Hartle-Hawking-like states, a conjecture for all-loop wavefunctions, and a K-independent inner product for 2D quantum cosmology.
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All the D-Branes of Resurgence
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Hilbert Bundles and Holographic Space-time: the Hydrodynamic Approach to Gravity
Einstein's equations are treated as hydrodynamic equations for the area-law entropy of causal diamonds, with quantum dynamics proposed to live in a Hilbert bundle over spacetime geodesics.
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