The two-sphere partition function in two-dimensional quantum gravity at fixed area
arXiv:2106.04532 · doi:10.1007/JHEP09(2021)189
Abstract
We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge limit. In this setup the gravity theory -- otherwise highly fluctuating -- admits a round two-sphere saddle. We discuss the two-sphere partition function up to two-loop order from the path integral perspective. This amounts to studying Feynman diagrams incorporating the fixed area constraint on the round two-sphere. In particular we find that all ultraviolet divergences cancel to this order. We compare our results with the two-sphere partition function obtained from the DOZZ formula.
arXiv comment16 pages + appendices. arXiv admin note: text overlap with arXiv:2106.01665
References in corpus (18)
- Entanglement Entropy and Quantum Field Theory
- Geometric and Renormalized Entropy in Conformal Field Theory
- Towards a derivation of holographic entanglement entropy
- Heat kernel expansion: user's manual
- Structure Constants and Conformal Bootstrap in Liouville Field Theory
- Two and three-point functions in Liouville theory
- Liouville theory revisited
- Analytic Continuation of Liouville Theory
- On the Liouville three-point function
- Liouville field theory on a pseudosphere
- De Sitter Musings
- Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
- Liouville quantum gravity -- holography, JT and matrices
- Scalar tachyons in the de Sitter universe
- Notes on Matrix Models
- Scaling Lee-Yang Model on a Sphere. I. Partition Function
- Matrix integrals finite holography
- Perturbed Conformal Field Theory on Fluctuating Sphere