# On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories

@article{Martins2020OnEO, title={On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories}, author={Y. X. Martins and L. F. A. Campos and R. J. Biezuner}, journal={arXiv: Mathematical Physics}, year={2020} }

In this paper we consider the classification problem of extensions of Yang-Mills-type (YMT) theories. For us, a YMT theory differs from the classical Yang-Mills theories by allowing an arbitrary pairing on the curvature. The space of YMT theories with a prescribed gauge group G and instanton sector P is classified, an upper bound to its rank is given and it is compared with the space of Yang-Mills theories. We present extensions of YMT theories as a simple and unified approach to many different… Expand

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