# Quantum Virasoro algebra with central charge c=1 on the horizon of a 2D-Rindler spacetime

@inproceedings{VMoretti2003QuantumVA, title={Quantum Virasoro algebra with central charge c=1 on the horizon of a 2D-Rindler spacetime}, author={V.Moretti and N.Pinamonti}, year={2003} }

. Using the holographic machinery built up in a previous work, we show that the hidden SL (2 , R ) symmetry of a scalar quantum ﬁeld propagating in a Rindler spacetime admits an enlargement in terms of a unitary positive-energy representation of Virasoro algebra deﬁned in the Fock representation. That representation has central charge c = 1. The Virasoro algebra of operators gets a manifest geometrical meaning if referring to the holographically associated QFT on the horizon: It is nothing but…

## 11 Citations

### Holography and SL(2,R) symmetry in 2D Rindler space–time

- Mathematics
- 2004

It is shown that it is possible to define quantum field theory of a massless scalar free field on the Killing horizon of a 2D Rindler space–time. Free quantum field theory on the horizon enjoys…

### Quantum Thermodynamics of Black Hole Horizons

- Physics
- 2005

Exploiting results recently proved in a technical paper (and some of them are reviewed herein in the language of theoretical physicists) we focus on quantization of the metric of a black hole…

### Addendum to: Bose-Einstein Condensate and Spontaneous Breaking of Conformal Symmetry on Killing Horizons, J. Math. Phys. 46, 062303 (2005)

- Mathematics
- 2005

In the paper cited in the title local scalar QFT (in Weyl algebraic approach) has been constructed on degenerate semi-Riemannian manifolds S1 x Σ corresponding to the extension of Killing horizons by…

### Bose-Einstein condensate and Spontaneous Breaking of Conformal Symmetry on Killing Horizons

- Mathematics
- 2004

Local scalar QFT (in Weyl algebraic approach) is constructed on degenerate semi-Riemannian manifolds corresponding to Killing horizons in spacetime. Covariance properties of the $C^*$-algebra of…

### Holography and Conformal Symmetry near black hole horizons

- Physics
- 2004

We show here how it is possible to build a QFT on the horizon of a Schwarzschild-like spacetime. That theory, found by restricting bulk quantum elds on the horizon, is equivalent to QFT on the bulk.…

### Noncommutative Spectral Invariants and Black Hole Entropy

- Mathematics
- 2005

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…

### On localization and position operators in Mobius covariant theories

- Mathematics
- 2007

Some years ago it was shown that, in some cases, a notion of locality can arise from the symmetry group of the theory [1–3], i.e. in an intrinsic way. In particular, when the Mobius covariance is…

### Algebra of conserved quantities in curved spacetime

- Physics
- 2019

In General Relativity (GR) finding out geodesics of a given spacetime manifold is an important task because it determines what are the classical processes which are dynamically forbidden. Conserved…

### A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices

- Mathematics, Physics
- 2012

The generalized second law is proven for semiclassical quantum fields falling across a causal horizon, minimally coupled to general relativity. The proof is much more general than previous proofs in…

### De Sitter quantum scalar field and horizon holography

- Physics
- 2005

We show explicitly that free quantum field theory in de Sitter background restricted on the cosmological horizon produces another quantum field theory unitarily equivalent with the original one.…

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