# Two-loop finiteness of D=2 supergravity

@article{Wit1992TwoloopFO, title={Two-loop finiteness of D=2 supergravity}, author={Bernard de Wit and Marcus T. Grisaru and Eliezer Rabinovici and Hermann Nicolai}, journal={Physics Letters B}, year={1992}, volume={286}, pages={78-84} }

We establish two-loop (on-shell) finiteness of certain supergravity theories in two dimensions. Possible implications of this result are discussed.

#### 18 Citations

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#### References

SHOWING 1-10 OF 23 REFERENCES

Gauge theory of two-dimensional quantum gravity.

- Physics, Medicine
- Physical review letters
- 1989

A gauge theory of two-dimensional gravity which is derived from a generalization of the Jackiw-Teitelboim model is presented and the exact quantum solution of this model is constructed using canonical quantization. Expand

Quantization of anomalous two-dimensional models

- Physics
- 1986

Abstract Classes of anomalous two-dimensional theories are solved. In physical gauges the spectrum is not relativistic. Anomalous models in covariant gauges are equivalent to adding Wess-Zumino terms… Expand

Classical and quantum considerations of two-dimensional gravity

- Physics
- 1992

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly… Expand

Three-Dimensional Supergravity Theories

- Physics
- 1983

Two three-dimensional supergravity theories are constructed. The first one has eight local supersymmetries as well as an SO(8, n) global symmetry, where n is an arbitrary positive integer. The… Expand

Conformal Field Theory and 2D Quantum Gravity

- Physics
- 1989

Inspired by the recent work of Knizhnik, Polyakov and Zamolodchikov on the 2D quantum gravity in the “light cone” gauge, we present a proposal for solving the theory in the usual conformal gauge. Our… Expand

Are the stationary, axially symmetric Einstein equations completely integrable?

- Physics
- 1978

A linear eigenvalue problem in the spirit of Lax is constructed for the stationary, axially symmetric Einstein equations. It is conjectured that this entails the complete integrability of the system.

The integrability of N=16 supergravity

- Physics
- 1987

The maximally extended locally supersymmetric theory in two dimensions is N = 16 supergravity. This theory was recently constructed [1] by dimensional reduction of N = 16 supergravity in three… Expand

Lower dimensional gravity

- Physics
- 1985

Gravity theory on a line and in the plane is reviewed. The triviality of the planar Einstein model is avoided by adding sources and a topological mass term. A constant curvature model for two… Expand

A study of non-critical strings in arbitrary dimensions

- Physics
- 1992

Abstract A new classical action for two-dimensional gravity is established where the graviton is accompanied by a scalar partner, a dilaton. It is shown that the role of the dilaton field is to… Expand

Comments on the importance of being over-constrained

- Physics
- 1992

Abstract We consider quantum-electrodynamics and gravity in one dimension as systems with perturbatively a negative number of degrees of freedom. We find that indeed these pure systems are… Expand