A Converse Hawking-Unruh Effect and dS2/CFT Correspondence

@article{Guido2003ACH,
  title={A Converse Hawking-Unruh Effect and dS2/CFT Correspondence
},
  author={Daniele Guido and Roberto Longo},
  journal={Annales Henri Poincar{\'e}},
  year={2003},
  volume={4},
  pages={1169-1218}
}
  • D. Guido, R. Longo
  • Published 5 December 2002
  • Mathematics, Physics
  • Annales Henri Poincaré
Abstract. Given a local quantum field theory net $ \mathcal{A} $ on the de Sitter spacetime dSd, where geodesic observers are thermalized at Gibbons-Hawking temperature, we look for observers that feel to be in a ground state, i.e., particle evolutions with positive generator, providing a sort of converse to the Hawking-Unruh effect. Such positive energy evolutions always exist as noncommutative flows, but have only a partial geometric meaning, yet they map localized observables into localized… 
Interacting Quantum Fields on de Sitter Space
In 1975 Figari, Hoegh-Krohn and Nappi constructed the P(phi)_2 model on the de Sitter space. Here we complement their work with new results, as well as by connecting this model to various areas of
Noncommutative Spectral Invariants and Black Hole Entropy
Abstract.We consider an intrinsic entropy associated with a local conformal net by the coefficients in the expansion of the logarithm of the trace of the “heat kernel” semigroup. In analogy with Weyl
Algebraic Quantum Field Theory in Curved Spacetimes
This chapter sets out the framework of algebraic quantum field theory in curved spacetimes, based on the idea of local covariance. In this framework, a quantum field theory is modelled by a functor
Concept of temperature in multi-horizon spacetimes: analysis of Schwarzschild–De Sitter metric
In case of spacetimes with single horizon, there exist several well- established procedures for relating the surface gravity of the horizon to a thermodynamic temperature. Such procedures, however,
Covariant Homogeneous Nets of Standard Subspaces
Rindler wedges are fundamental localization regions in AQFT. They are determined by the one-parameter group of boost symmetries fixing the wedge. The algebraic canonical construction of the free
Structure and Classification of Superconformal Nets
Abstract.We study the general structure of Fermi conformal nets of von Neumann algebras on S1 and consider a class of topological representations, the general representations, that we characterize as
O ct 2 02 0 Covariant homogeneous nets of standard subspaces
Rindler wedges are fundamental localization regions in AQFT. They are determined by the one-parameter group of boost symmetries fixing the wedge. The algebraic canonical construction of the free
2 4 M ay 2 00 7 Structure and Classification of Superconformal Nets
We study the general structure of Fermi conformal nets of von Neumann algebras on S, consider a class of topological representations, the general representations, that we characterize as
Area density of localization entropy: I. The case of wedge localization
Using an appropriately formulated holographic lightfront projection, we derive an area law for the localization entropy caused by vacuum polarization on the horizon of a wedge region. Its area
...
...

References

SHOWING 1-10 OF 57 REFERENCES
Anti-de Sitter space and holography
Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of
The dS/CFT correspondence
A holographic duality is proposed relating quantum gravity on dSD (D-dimensional de Sitter space) to conformal field theory on a single SD−1 ((D-1)-sphere), in which bulk de Sitter correlators with
Quantum fields on manifolds: PCT and gravitationally induced thermal states
Modular structure and duality in conformal quantum field theory
Making use of a recent result of Borchers, an algebraic version of the Bisognano-Wichmann theorem is given for conformal quantum field theories, i.e. the Tomita-Takesaki modular group associated with
Natural Energy Bounds in Quantum Thermodynamics
Abstract: Given a stationary state for a noncommutative flow, we study a boundedness condition, depending on a parameter β>0, which is weaker than the KMS equilibrium condition at inverse temperature
Extensions of Conformal Nets¶and Superselection Structures
Abstract:Starting with a conformal Quantum Field Theory on the real line, we show that the dual net is still conformal with respect to a new representation of the Möbius group. We infer from this
Conformal Transformations as Observables
C denotes either the conformal group in 3 + 1 dimensions, PSO(4, 2), or in one chiral dimension, PSL(2, \({\mathbb{R}}\)). Let U be a unitary, strongly continuous representation of C satisfying the
Relativistic invariance and charge conjugation in quantum field theory
We prove that superselection sectors with finite statistics in the sense of Doplicher, Haag, and Roberts are automatically Poincaré covariant under natural conditions (e.g. split property for
Modular groups of quantum fields in thermal states
For a quantum field in a thermal equilibrium state we discuss the group generated by time translations and the modular action associated with an algebra invariant under half-sided translations. The
CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES
The first part of this paper extends the Doplicher-Haag-Roberts theory of superselection sectors to quantum field theory on arbitrary globally hyperbolic spacetimes. The statistics of a
...
...