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Parametric (Anti-) Self-Dual Variables and a Related Parametric Yang–Mills–Like Action in Four-Dimensional Gravity

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Abstract

Internal and external parametric dualtransformations as well as (anti-) self-dual variablesin four-dimensional gravity are presented in a unifiedway via a parameter. The double complex (anti-)self-dual variables including the double complex Ashtekarvariables are studied by using the double complexfunction method. Concretely, a parametricYang–Mills-like action is proposed and theanalytic continuation from a double action to the Euclidean action isdiscussed. Some results of previous gravitationaltheories are extended to a parametric form.

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Authors
  1. Ya-Bo Wu
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Wu, YB. Parametric (Anti-) Self-Dual Variables and a Related Parametric Yang–Mills–Like Action in Four-Dimensional Gravity. International Journal of Theoretical Physics 37, 2127–2134 (1998). https://doi.org/10.1023/A:1026694003682

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  • DOI: https://doi.org/10.1023/A:1026694003682

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