Non-critical string field theory for 2d quantum gravity coupled to (p,q)--conformal fields

Abstract

We propose a non-critical string field theory for $2d$ quantum gravity coupled to ($p$,$q$) conformal fields. The Hamiltonian is described by the generators of the $W_p$ algebra, and the Schwinger-Dyson equation is equivalent to a vacuum condition imposed on the generators of $W_p$ algebra.

LaTeX, 30 pages, 6 figures

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• A String Field Theory based on Causal Dynamical Triangulations
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• Quantum gravity as sum over spacetimes
• Stochastic quantization and the role of time in quantum gravity
• Summing over all Topologies in CDT String Field Theory
• On the Quantum Geometry of Multi-critical CDT
• The Hausdorff Dimension of Surfaces in Two-Dimensional Quantum Gravity Coupled to Ising Minimal Matter
• Models of the Universe based on Jordan algebras
• A model for emergence of space and time
• The nature of ZZ branes
• Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry
• World-sheet dynamics of ZZ branes
• Proper time is stochastic time in 2d quantum gravity
• ZZ branes from a worldsheet perspective
• Peeling and Multi-critical Matter Coupled to Quantum Gravity