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arXiv · hep-th/0407203

Supersymmetric Gauged Scale Covariance in Ten and Lower Dimensions

Hitoshi Nishino·Subhash Rajpoot
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Abstract

We present globally supersymmetric models of gauged scale covariance in ten, six, and four-dimensions. This is an application of a recent similar gauging in three-dimensions for a massive self-dual vector multiplet. In ten-dimensions, we couple a single vector multiplet to another vector multiplet, where the latter gauges the scale covariance of the former. Due to scale covariance, the system does not have a lagrangian formulation, but has only a set of field equations, like Type IIB supergravity in ten-dimensions. As by-products, we construct similar models in six-dimensions with N=(2,0) supersymmetry, and four-dimensions with N=1 supersymmetry. We finally get a similar model with N=4 supersymmetry in four-dimensions with consistent interactions that have never been known before. We expect a series of descendant theories in dimensions lower than ten by dimensional reductions. This result also indicates that similar mechanisms will work for other vector and scalar multiplets in space-time lower than ten-dimensions.

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Hitoshi Nishino, Subhash Rajpoot. 2004-07-23. Supersymmetric Gauged Scale Covariance in Ten and Lower Dimensions. https://doi.org/10.1016/j.physletb.2004.10.052

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