TASI lectures on complex structures

Abstract

These lecture notes give an introduction to a number of ideas and methods that have been useful in the study of complex systems ranging from spin glasses to D-branes on Calabi-Yau manifolds. Topics include the replica formalism, Parisi's solution of the Sherrington-Kirkpatrick model, overlap order parameters, supersymmetric quantum mechanics, D-brane landscapes and their black hole duals.

109 pages, 16 figures

References in corpus (26)

• Flux Compactification
• The Anthropic Landscape of String Theory
• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• Clustering of solutions in the random satisfiability problem
• Les Houches Lectures on Constructing String Vacua
• T-Branes and Monodromy
• D-brane Deconstructions in IIB Orientifolds
• TASI Lectures on the Cosmological Constant
• Wall-Crossing from Boltzmann Black Hole Halos
• Euclidean Wormholes in String Theory
• A Farey Tail for Attractor Black Holes
• Computational complexity of the landscape I
• Holographic Multiverse
• From AdS3/CFT2 to Black Holes/Topological Strings
• Relating Field Theories via Stochastic Quantization
• A Finite Landscape?
• Four ways across the wall
• The Landscape "avant la lettre"
• Ultrametricity and clustering of states in spin glasses: A one-dimensional view
• Future Foam
• Holographic multiverse and the measure problem
• Supersymmetry, replica and dynamic treatments of disordered systems: a parallel presentation
• 2d Wall-Crossing, R-twisting, and a Supersymmetric Index
• Cargese lectures on string theory with eight supercharges
• Stability of the Parisi Solution for the Sherrington-Kirkpatrick model near T=0
• D4-branes on Complete Intersection in Toric Variety

Cited by in corpus (24)

• Aspects of holography for theories with hyperscaling violation
• Free Energy from Replica Wormholes
• Does the SYK model have a spin glass phase?
• Nontrivial critical fixed point for replica-symmetry-breaking transitions
• Hot Halos and Galactic Glasses
• Generalized gravitational entropy without replica symmetry
• The Cheshire Cap
• Accessibility Measure for Eternal Inflation: Dynamical Criticality and Higgs Metastability
• Supergoop Dynamics
• Replica symmetry breaking in random matrix model: a toy model of wormhole networks
• Ghost-spin chains, entanglement and $bc$-ghost CFTs
• Complex Path Integrals and the Space of Theories
• Higher Spin de Sitter Hilbert Space
• Inflation as an Information Bottleneck - A strategy for identifying universality classes and making robust predictions
• On memory in exponentially expanding spaces
• Extremal Bundles on Calabi-Yau Threefolds
• Quenched free energy in random matrix model
• De (Baby) Sitter Overlaps
• Topological order in matrix Ising models
• Aspects of Statistical Physics in Computational Complexity
• The quantum $p$-spin glass model: A user manual for holographers
• Entropy, heat, and Gödel incompleteness
• Why is AI hard and Physics simple?
• Searching for emergent spacetime in spin glasses