Invariant Tensors in Gauge Theories
Abstract
Invariant tensors play an important role in gauge theories, for example, in dualities of \(N=1\) gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often difficult to construct. We present a new approach to the construction of these tensors, and use it to find the complete set of invariant tensors of a theory of \(SO(3)\) with fields in the symmetric tensor representation.
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