Integrating geometry in general 2D dilaton gravity with matter

Kummer, Wolfgang; Liebl, H.; Vassilevich, D. V.

doi:10.1016/s0550-3213(99)00047-4

Cited by 48 publications

(141 citation statements)

References 43 publications

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“…The most attractive feature of theories of type (2.17) is that an important subclass of them is in a one-to-one correspondence with the GDT-s (1.1). This dynamical equivalence, including the essential feature that also the global properties are exactly identical, seems to have been noticed first in [248] and used extensively in studies of the corresponding quantum theory [281,285,284].…”

Section: Introductionmentioning

confidence: 63%

“…The proof of this statement with explicit coefficients instead of the proportionality symbol as well as a corresponding argument for the nonsymmetric vertex (8.2) can be found in refs. [285,196,157].…”

Section: Non-minimal Coupling Spherically Reduced Gravitymentioning

confidence: 99%

“…After subtracting that in the absence of matter the solution of the classical theory represents an exact "quantum" result. Later this perturbative argument has been reformulated as an exact path integral, first again for the KV-model [204] and then for general theories of gravity in D = 2 [281,285,284,196,157,199].…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 63%

Section: Non-minimal Coupling Spherically Reduced Gravitymentioning

confidence: 99%

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Dilaton gravity in two dimensions

2002

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“…31 Some "bosonic references" on path integral quantization of generic dilaton gravity with matter are [16,66]. In the absence of matter the theory is locally quantum trivial [67].…”

Section: Supersymmetrization Critical Collapse and Quantizationmentioning

confidence: 99%

An action for the exact string black hole

Grumiller

2005

J. High Energy Phys.

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A local action is constructed describing the exact string black hole discovered by Dijkgraaf, Verlinde and Verlinde in 1992. It turns out to be a special 2D Maxwell-dilaton gravity theory, linear in curvature and field strength. Two constants of motion exist: mass M ≥ 1, determined by the level k, and U(1)-charge Q ≥ 0, determined by the value of the dilaton at the origin. ADM mass, Hawking temperature T H ∝ 1 − 1/M and Bekenstein-Hawking entropy are derived and studied in detail. Winding/momentum mode duality implies the existence of a similar action, arising from a branch ambiguity, which describes the exact string naked singularity. In the strong coupling limit the solution dual to AdS 2 is found to be the 5D Schwarzschild black hole. Some applications to black hole thermodynamics and 2D string theory are discussed and generalizations -supersymmetric extension, coupling to matter and critical collapse, quantization -are pointed out.

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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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Integrating geometry in general 2D dilaton gravity with matter

Cited by 48 publications

References 43 publications

Dilaton gravity in two dimensions

Dilaton gravity in two dimensions

An action for the exact string black hole

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

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