Two-dimensional gravity with dynamical torsion and strings

Katanaev, M. O.; Волович, И. В.

doi:10.1016/0003-4916(90)90200-8

Cited by 81 publications

(118 citation statements)

References 54 publications

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“…Actually, this work generalizes our previous results in two and four spacetime dimensions [7,8]. We show that the resulting interactions are accurately described by a topological field theory with an open algebra of first-class constraints, that can be interpreted in terms of a Poisson structure present in various models of twodimensional gravity [10,11,12,13]. The analysis of Poisson Sigma Models, including their relationship to two-dimensional gravity and the study of classical solutions, can be found in [14,15,16,17,18,19] (see also [20]).…”

Section: Introductionsupporting

confidence: 84%

Hamiltonian BRST deformation of a class ofn-dimensional BF-type theories

Bizdadea

Ciobirca

Cioroianu

et al. 2003

J. High Energy Phys.

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Consistent Hamiltonian interactions that can be added to an abelian free BF-type class of theories in any n ≥ 4 spacetime dimensions are constructed in the framework of the Hamiltonian BRST deformation based on cohomological techniques. The resulting model is an interacting field theory in higher dimensions with an open algebra of on-shell reducible first-class constraints. We argue that the Hamiltonian couplings are related to a natural structure of Poisson manifold on the target space.

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Section: Introductionsupporting

confidence: 84%

Hamiltonian BRST deformation of a class ofn-dimensional BF-type theories

Bizdadea

Ciobirca

Cioroianu

et al. 2003

J. High Energy Phys.

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“…Starting from a given bosonic potential (1.6), the main restriction to the application of a "genuine" supergravity extension turns out to be (5.11). It is important to note that spherically reduced gravity (1.7) fits into this structure as do the models (1.8) and (1.9), but a model quadratic in torsion and curvature [53,54] for certain values of its parameters does not in general, or, at best, experiences restrictions on the range of its bosonic fields.…”

Section: General Deformed Superconformal Algebramentioning

confidence: 78%

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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“…If U = 0 then one has the gravity model with zero torsion, and the Lagrangian in the second order form is an arbitrary function of the scalar curvature defined by V . For U = 1 and V = π 2 + const one immediately recovers two-dimensional gravity with torsion quadratic in curvature and torsion [4,5,6]. It is essentially a unique purely geometric invariant model yielding second order equations of motion for the zweibein and Lorentz connection.…”

Section: The Actionmentioning

confidence: 79%

“…A two-dimensional gravity model with torsion was proposed in [4,5,6] to provide dynamics for the metric on a string world sheet already at the classical level. Two-dimensional dilaton gravity [7,8] was proposed as an effective model coming from the string theory.…”

Section: Introductionmentioning

confidence: 99%

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Effective Action for Scalar Fields in Two-Dimensional Gravity

Katanaev

2002

Annals of Physics

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We consider a general two-dimensional gravity model minimally or nonminimally coupled to a scalar field. The canonical form of the model is elucidated, and a general solution of the equations of motion in the massless case is reviewed. In the presence of a scalar field all geometric fields (zweibein and Lorentz connection) are excluded from the model by solving exactly their Hamiltonian equations of motion. In this way the effective equations of motion and the corresponding effective action for a scalar field are obtained. It is written in a Minkowskian space-time and does not include any geometric variables. The effective action arises as a boundary term and is nontrivial both for open and closed universes. The reason is that unphysical degrees of freedom cannot be compactly supported because they must satisfy the constraint equation. As an example we consider spherically reduced gravity minimally coupled to a massless scalar field. The effective action is used to reproduce the Fisher and Roberts solutions.

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Two-dimensional gravity with dynamical torsion and strings

Cited by 81 publications

References 54 publications

Hamiltonian BRST deformation of a class ofn-dimensional BF-type theories

Hamiltonian BRST deformation of a class ofn-dimensional BF-type theories

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

Effective Action for Scalar Fields in Two-Dimensional Gravity

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