A correspondence between strings in the Hagedorn phase and asymptotically de Sitter space
arXiv:2005.09321 · doi:10.1103/PhysRevD.102.086002
Abstract
A correspondence between closed strings in their high-temperature Hagedorn phase and asymptotically de Sitter (dS) space is established. We identify a thermal, conformal field theory (CFT) whose partition function is, on the one hand, equal to the partition function of closed, interacting, fundamental strings in their Hagedorn phase yet is, on the other hand, also equal to the Hartle-Hawking (HH) wavefunction of an asymptotically dS Universe. The Lagrangian of the CFT is a functional of a single scalar field, the condensate of a thermal scalar, which is proportional to the entropy density of the strings. The correspondence has some aspects in common with the anti-de Sitter/CFT correspondence, as well as with some of its proposed analytic continuations to a dS/CFT correspondence, but it also has some important conceptual and technical differences. The equilibrium state of the CFT is one of maximal pressure and entropy, and it is at a temperature that is above but parametrically close to the Hagedorn temperature. The CFT is valid beyond the regime of semiclassical gravity and thus defines the initial quantum state of the dS Universe in a way that replaces and supersedes the HH wavefunction. Two-point correlation functions of the CFT scalar field are used to calculate the spectra of the corresponding metric perturbations in the asymptotically dS Universe and, hence, cosmological observables in the post-inflationary epoch. Similarly, higher-point correlation functions in the CFT should lead to more complicated cosmological observables.
arXiv comment43 pages, 1 figure
References in corpus (60)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Large N Field Theories, String Theory and Gravity
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- The dS/CFT Correspondence
- The Swampland: Introduction and Review
- A new approach to the evolution of cosmological perturbations on large scales
- Quantum Gravity In De Sitter Space
- Super-Horizon Scale Dynamics of Multi-Scalar Inflation
- De Sitter Space and the Swampland
- Conformal Vacua and Entropy in de Sitter Space
- What if string theory has no de Sitter vacua?
- The domain-wall/QFT correspondence
- Inflation and the dS/CFT Correspondence
- Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn Phase of String Cosmology
- Emergent Spacetime and Holographic CFTs
- Holography for Cosmology
- Self Gravitating Fundamental Strings
- Tensor Modes from a Primordial Hagedorn Phase of String Cosmology
- Self-gravitating fundamental strings and black-holes
- Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
- Holography for inflation using conformal perturbation theory
- The Conformal Bootstrap at Finite Temperature
- Quantum Breaking Bound on de Sitter and Swampland
- Holographic No-Boundary Measure
- A Causal Entropy Bound
- Things Fall Apart: Topology Change from Winding Tachyons
- The Tachyon at the End of the Universe
- The Inside Story: Quasilocal Tachyons and Black Holes
- Holographic predictions for cosmological 3-point functions
- Holographic Non-Gaussianity
- The Holographic Universe
- Closed String Thermodynamics and a Blue Tensor Spectrum
- Cosmological 3-point correlators from holography
- Touring the Hagedorn Ridge
- What is the No-Boundary Wave Function of the Universe?
- Closed-String Tachyons and the Hagedorn Transition in AdS Space
- Black holes as collapsed polymers
- The No-Boundary Measure in the Regime of Eternal Inflation
- The Holographic Space-Time Model of Cosmology
- Random walks and the Hagedorn transition
- Dimensional Mutation and Spacelike Singularities
- The NUTs and Bolts of Squashed Holography
- Remarks on Black Hole Instabilities and Closed String Tachyons
- Stringy Black Hole Interiors
- Predicting a Prior for Planck
- Quantum cosmology and eternal inflation
- Non-singular black holes interiors need physics beyond the standard model
- Quantum state of the black hole interior
- Supersymmetric dS/CFT
- Emergent horizon, Hawking radiation and chaos in the collapsed polymer model of a black hole
- Two Wave Functions and dS/CFT on S^1 x S^2
- Towards causal patch physics in dS/CFT
- Primordial fluctuations from complex AdS saddle points
- Squashed Holography with Scalar Condensates
- Singularities and Closed String Tachyons
- Dualities of the entropy bound
- Spinors in Supersymmetric dS/CFT
- A maximal-entropy initial state of the Universe as a microscopic description of inflation
- Lorentzian Condition in Holographic Cosmology