Flat coordinates and dilaton fields for three-dimensional conformal sigma models

Hlavatý, Ladislav; Turek, Miroslav

doi:10.1088/1126-6708/2006/06/003

Cited by 5 publications

(1 citation statement)

References 6 publications

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“…Afterwards, this procedure was extended in such a way that by use of the transformation of group coordinates of the flat model to those for which the metric is constant, a classical solution of the equations of motion for a sigma model in curved background was found in [19] (see, also, [20]). Moreover, prior to the procedures done in [19] and [20], conformally invariant three-dimensional sigma models on solvable Lie groups, which were Poisson-Lie T-dual or plural to sigma models in the flat background with the constant dilaton, were investigated in [21] (see, also, [22,23]). …”

Section: Jhep02(2015)025mentioning

confidence: 99%

Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality

Eghbali

2015

J. High Energ. Phys.

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The equations of motion of a super non-Abelian T-dual sigma model on the Lie supergroup (C 1 1 +A) in the curved background are explicitly solved by the super Poisson-Lie T-duality. To find the solution of the flat model we use the transformation of supercoordinates, transforming the metric into a constant one, which is shown to be a supercanonical transformation. Then, using the super Poisson-Lie T-duality transformations and the dual decomposition of elements of Drinfel'd superdouble, the solution of the equations of motion for the dual sigma model is obtained. The general form of the dilaton fields satisfying the vanishing β−function equations of the sigma models is found. In this respect, conformal invariance of the sigma models built on the Drinfel'd superdouble (C 1 1 + A) , I (2|2) is guaranteed up to one-loop, at least.

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Section: Jhep02(2015)025mentioning

confidence: 99%

Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality

Eghbali

2015

J. High Energ. Phys.

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Continental-scale relationship between bankfull width and drainage area for single-thread alluvial channels

Wilkerson

Kandel

Perg³

et al. 2014

Water Resour. Res.

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We explore the bankfull width (W bf ) versus drainage area (A da ) relationship across a range of climatic and geologic environments and ask (1) is the relationship between ln(W bf ) and ln(A da ) best described by a linear function and (2) can a reliable relationship be developed for predicting W bf with A da as the only independent variable. The principal data set for this study was compiled from regional curve studies and other reports that represent 1018 sites (1 m W bf 110 m and 0.50 km 2 A da 22,000 km 2 ) in the continental United States. Two additional data sets were used for validation. After dividing the data into small, medium, and large-size basins which, respectfully, correspond to A da < 4.95 km 2 , 4.95 km 2 A da < 337 km 2 , and A da 337 km 2 , regression lines from each data set were compared using one-way analysis of covariance (ANCOVA). A second ANCOVA was performed to determine if mean annual precipitation (P) is an extraneous factor in the W bf versus A da relationship. The ANCOVA results reveal that using A da alone does not yield a reliable W bf versus A da relationship that is applicable across a wide range of environments and that P is a significant extraneous factor in the relationship. Considering data for very small basins (A da 0.49 km 2 ) and very large basins (A da 1.0 3 10 5 km 2 ) we conclude that a two-segment linear model is the most probable form of the ln(W bf ) versus ln(A da ) relationship. This study provides useful information for building complex multivariate models for predicting W bf .

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Host Modulation Therapies

Niemiec¹

2012

Veterinary Periodontology

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Flat coordinates and dilaton fields for three-dimensional conformal sigma models

Cited by 5 publications

References 6 publications

Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality

Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality

Continental-scale relationship between bankfull width and drainage area for single-thread alluvial channels

Host Modulation Therapies

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