Question

Do we have more than one $D$ term for a single gauge group?

Answer 1

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. It describes how these strings propagate through space and interact with each other. On distance scales larger than the string scale, a string looks just like an ordinary particle, with its mass, charge, and other properties determined by the vibrational state of the string. In string theory, one of the many vibrational states of the string corresponds to the graviton, a quantum mechanical particle that carries gravitational force. Thus string theory is a theory of quantum gravity.

Answer 2

A gauge theory is a type of theory in physics. ... Since any kind of invarianceunder a field transformation is considered a symmetry, gauge invariance is sometimes called gaugesymmetry. Generally, any theory that has the property of gauge invariance is considered a gauge theory.