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Two-Dilaton Theories in Two Dimensions from Dimensional Reduction
General Relativity and Quantum Cosmology · Submitted 23 May 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that practically all physically motivated models belong either to the class of factorizable simple theories (e.g. dimensionally reduced gravity, bosonic string) or to factorizable conformally simple theories (e.g. spherically reduced Scalar-Tensor theories).
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The abstract, sentence by sentence
Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one scalar field (e.g. inflaton, Higgs, quintessence). Our present work is restricted to two-dimensional gravity theories with only two dilatons which nevertheless allow a large class of physical applications. The notions of factorizability, simplicity and conformal simplicity, Einstein form and Jordan form are the basis of an adequate classification. We show that practically all physically motivated models belong either to the class of factorizable simple theories (e.g. dimensionally reduced gravity, bosonic string) or to factorizable conformally simple theories (e.g. spherically reduced Scalar-Tensor theories). For these theories a first order formulation is constructed straightforwardly. As a consequence an absolute conservation law can be established.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. | background 1.00 | 0.06 | 0.03 | asserted 0.89 |
| s1 | Thus at the level of D=4 theories, and cosmology many models contain more than just one scalar field (e.g. inflaton, Higgs, quintessence). | background 1.00 | 0.05 | 0.02 | asserted 0.85 |
| s2 | Our present work is restricted to two-dimensional gravity theories with only two dilatons which nevertheless allow a large class of physical applications. | limitation 0.97 | 0.55 | 0.05 | asserted 0.99 |
| s3 | The notions of factorizability, simplicity and conformal simplicity, Einstein form and Jordan form are the basis of an adequate classification. | method 0.68 | 0.40 | 0.08 | asserted 1.00 |
| s4 | We show that practically all physically motivated models belong either to the class of factorizable simple theories (e.g. dimensionally reduced gravity, bosonic string) or to factorizable conformally simple theories (e.g. spherically reduced Scalar-Tensor theories). | result 0.94 | 0.89 | 0.74 | asserted 1.00 |
| s5 | For these theories a first order formulation is constructed straightforwardly. | contribution 0.48 | 0.91 | 0.11 | asserted 1.00 |
| s6 | As a consequence an absolute conservation law can be established. | result 0.96 | 0.87 | 0.25 | asserted 1.00 |
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Original abstract
Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one scalar field (e.g. inflaton, Higgs, quintessence). Our present work is restricted to two-dimensional gravity theories with only two dilatons which nevertheless allow a large class of physical applications. The notions of factorizability, simplicity and conformal simplicity, Einstein form and Jordan form are the basis of an adequate classification. We show that practically all physically motivated models belong either to the class of factorizable simple theories (e.g. dimensionally reduced gravity, bosonic string) or to factorizable conformally simple theories (e.g. spherically reduced Scalar-Tensor theories). For these theories a first order formulation is constructed straightforwardly. As a consequence an absolute conservation law can be established.
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