When you look a the Polyakov or Nambu-Goto action, you see a T for tension, but no mass. When you look the action of a relativistic particle, you see the m. See here.
So here's the question. Where is the mass in the String actions? For a classical relativistic string I would expect that the equations of motion have m appearing as a constant. In this case I am thinking that the mass is related to the tension. In the end, if particles are strings in different states, then I would expect the mass to depend on the state.
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