# Duality, Generalized Global Symmetries and Jet Space Isometries

@article{Chatzistavrakidis2021DualityGG, title={Duality, Generalized Global Symmetries and Jet Space Isometries}, author={Athanasios Chatzistavrakidis and Georgios Karagiannis and Arash Ranjbar}, journal={Universe}, year={2021} }

We revisit universal features of duality in linear and nonlinear relativistic scalar and Abelian 1-form theories with single or multiple fields, which exhibit ordinary or generalized global symmetries. We show that such global symmetries can be interpreted as generalized Killing isometries on a suitable, possibly graded, target space of fields or its jet space when the theory contains higher derivatives. This is realized via a generalized sigma model perspective motivated from the fact that…

## 2 Citations

### Introductory Notes on Non‐linear Electrodynamics and its Applications

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In 1933‐1934 Born and Infeld constructed the first non‐linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler…

### Instances of Higher Geometry in Field Theory

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Generalisations of geometry have emerged in various forms in the study of ﬁeld theory and quantization. This mini-review focuses on the role of higher geometry in three selected physical…

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