Two-Dimensional Gravity and Nonlinear Gauge Theory

Ikeda, Noriaki

doi:10.1006/aphy.1994.1104

Cited by 270 publications

(363 citation statements)

References 19 publications

(49 reference statements)

Supporting

Mentioning

358

Contrasting

Order By: Relevance

“…To this end the relation of gPSM supergravity to superspace supergravity should be clarified. So far, this has been done only partially [40,51,55], namely for models with Z = 0 in (1.6), related to a non-dynamical dilaton field in the equivalent action (1.11). Recent calculations for non-vanishing bosonic torsion (Z = 0) indicate that there exists a close relation between precisely the gPSM supergravities found in this work and the dilaton supergravity formulated in superspace [52].…”

Section: Discussionmentioning

confidence: 99%

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

Bergamin

Kummer

2003

J. High Energy Phys.

View full text Add to dashboard Cite

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.

show abstract

Section: Discussionmentioning

confidence: 99%

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

Bergamin

Kummer

2003

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…Early versions of this nonlinear algebras from 2D gravity were discussed as constraint algebra of the Hamiltonian in the context of the KV-model in [192], and with scalar and fermionic matter in [278]. The interpretation as a nonlinear gauge theory in a related approach goes back to [230,229]. Although we are dealing with bosonic fields in the present section our notation anticipates already the graded PSM (gPSM) of supergravity in sect.…”

Section: Relation To Poisson-sigma Modelsmentioning

confidence: 99%

Dilaton gravity in two dimensions

2002

View full text Add to dashboard Cite

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.

show abstract

“…In the graded-commutative case, the generalized Poisson sigma model was first studied within the twodimensional context [10,11,12] whose Batalin-Vilkovisky (BV) formulation [13,14] was geometrized by Alexandrov-Kontsevish-Schwarz-Zaboronski (AKSZ) in [15], later used for a perturbative path-integral derivation [16,12,17] of Kontsevish's star-product [18] on Poisson manifolds. These models are closely related to topological BF models (see the review [19] and refs.…”

Section: Introductionmentioning

confidence: 99%

A minimal BV action for Vasiliev’s four-dimensional higher spin gravity

Boulanger

Colombo

Sundell

2012

J. High Energ. Phys.

View full text Add to dashboard Cite

ABSTRACT.The action principle for Vasiliev's four-dimensional higher-spin gravity proposed recently by two of the authors, is converted into a minimal BV master action using the AKSZ procedure, which amounts to replacing the classical differential forms by vectorial superfields of fixed total degree given by the sum of form degree and ghost number. The nilpotency of the BRST operator is achieved by imposing boundary conditions and choosing appropriate gauge transitions between charts leading to a globally-defined formulation based on a principal bundle.

show abstract

Two-Dimensional Gravity and Nonlinear Gauge Theory

Cited by 270 publications

References 19 publications

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

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

Dilaton gravity in two dimensions

A minimal BV action for Vasiliev’s four-dimensional higher spin gravity

Contact Info

Product

Resources

About