Exact Dirac quantization of all 2D dilaton gravity theories

Louis-Martinez, Domingo J.; Gegenberg, J.; Kunstatter, G.

doi:10.1016/0370-2693(94)90463-4

Cited by 164 publications

(158 citation statements)

References 24 publications

(23 reference statements)

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“…e.g. [312,19,349,350,374,373,41,116,311,173,304,303,298]). For their solution throughout these works the conformal or the Schwarzschild gauge have been used, leading to complicated e.o.m.-s, the solution of which often requires considerable mathematical effort.…”

Section: 3)mentioning

confidence: 99%

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Dilaton gravity in two dimensions

2002

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The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important examples of spherically symmetric Black Holes, together with string inspired models, belong to this class, valuable knowledge can also be gained for these systems in the quantum case. In the last decade new insights regarding the exact quantization of the geometric part of such theories have been obtained. They allow a systematic quantum field theoretical treatment, also in interactions with matter, without explicit introduction of a specific classical background geometry. The present review tries to assemble these results in a coherent manner, putting them at the same time into the perspective of the quite large literature on this subject.

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Section: 3)mentioning

confidence: 99%

“…Possibly due to the impact of Hawking's work on semi-classical radiation of BHs [211] the discussion of genuine quantum gravity effects was postponed until the CGHS model [71] rekindled the interest in (exact) quantization of BH-s [173,276,277,77,174,395,24,175,303,73,75,74,76,326,327,328,415,425]. In particular, in ref.…”

Section: Canonical Quantizationmentioning

confidence: 99%

Dilaton gravity in two dimensions

2002

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“…Much of the recent progress [7,[15][16][17][18] to understand bosonic gravity theories in two dimensions also at the quantum level is based upon the equivalence [19,20] of a torsion free general dilaton theory [21][22][23][24][25] and a Hamiltonian action of the type of a Poisson-Sigma model (PSM) [26,27]. A (graded) PSM ((g)PSM) is defined by the action (1.1)…”

Section: Introductionmentioning

confidence: 99%

Graded Poisson-sigma models and dilaton-deformed 2D supergravity algebra

Bergamin

Kummer

2003

J. High Energy Phys.

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Fermionic extensions of generic 2d gravity theories obtained from the graded Poisson-Sigma model (gPSM) approach show a large degree of ambiguity. In addition, obstructions may reduce the allowed range of fields as given by the bosonic theory, or even prohibit any extension in certain cases. In our present work we relate the finite W-algebras inherent in the gPSM algebra of constraints to algebras which can be interpreted as supergravities in the usual sense (Neuveu-Schwarz or Ramond algebras resp.), deformed by the presence of the dilaton field. With very straightforward and natural assumptions on them -like demanding rigid supersymmetry in a certain flat limit, or linking the anti-commutator of certain fermionic charges to the Hamiltonian constraint-in the "genuine" supergravity obtained in this way the ambiguities disappear, as well as the obstructions referred to above. Thus all especially interesting bosonic models (spherically reduced gravity, the Jackiw-Teitelboim model etc.) under these conditions possess a unique fermionic extension and are free from new singularities. The superspace supergravity model of Howe is found as a special case of this supergravity action. For this class of models the relation between bosonic potential and prepotential does not introduce obstructions as well.

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“…Its counterpart, lineal gravity (the same system with the S 1 topology replaced by R 1 ), has been the subject of much investigation over the past twenty years, motivated by the desire to understand black holes [2], space-time structure [3,4], canonical quantum gravity [5], string physics [6], information loss in black hole evaporation [7] and the N −body problem [8,9].…”

Section: Introductionmentioning

confidence: 99%

Dynamical charged N -body equilibrium in circular dilaton gravity

Kerner¹,

Mann²

2004

Class. Quantum Grav.

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We extend the problem of (1 + 1) circular dilaton gravity to include charged particles. We examine the two (charged) particle case in detail and find an exact equilibrium solution. We then extend this to N −particles and obtain a solution for this case as well. This class of solutions corresponds to N -particles of the same mass, spaced evenly around the circle with charges chosen so that the electric field satisfies E 2 =constant. We discuss the relation of these solutions to the previous uncharged equilibrium solutions and examine the behavior when the number of particles is large. We comment on the challenges in further generalizing the solutions we obtain.

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Exact Dirac quantization of all 2D dilaton gravity theories

Cited by 164 publications

References 24 publications

Dilaton gravity in two dimensions

Dilaton gravity in two dimensions

Graded Poisson-sigma models and dilaton-deformed 2D supergravity algebra

Dynamical charged N -body equilibrium in circular dilaton gravity

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