Holography and $SL(2,\bR)$ symmetry in 2D Rindler spacetime
Moretti, V. ; Pinamonti, N.
arXiv, 0304111 / Harvested from arXiv
Text on arXiv
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 spacetime. Free quantum field theory on the horizon enjoys diffeomorphism invariance and turns out to be unitarily and algebraically equivalent to the analogous theory of a scalar field propagating inside Rindler spacetime, nomatter the value of the mass of the field in the bulk. More precisely, there exists a unitary transformation that realizes the bulk-boundary correspondence under an appropriate choice for Fock representation spaces. Secondly, the found correspondence is a subcase of an analogous algebraic correspondence described by injective *-homomorphisms of the abstract algebras of observables generated by abstract quantum free-field operators. These field operators are smeared with suitable test functions in the bulk and exact 1-forms on the horizon. In this sense the correspondence is independent from the chosen vacua. It is proven that, under that correspondence the ``hidden'' $SL(2,\bR)$ quantum symmetry found in a previous work gets a clear geometric meaning, it being associated with a group of diffeomorphisms of the horizon itself.
Publié le : 2003-04-11
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{0304111,
     author = {Moretti, V. and Pinamonti, N.},
     title = {Holography and $SL(2,\bR)$ symmetry in 2D Rindler spacetime},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304111}
}

Moretti, V.; Pinamonti, N. Holography and $SL(2,\bR)$ symmetry in 2D Rindler spacetime. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304111/