Twisted-Mass Potential on the Non-Abelian String World Sheet Induced by Bulk Masses

Understand

We derive the twisted-mass potential in N=(2,2) CP(N-1) theory on the world sheet of the non-Abelian string from the bulk N=2 theory with massive (s)quarks by determining the profile functions of the adjoint fields.

• Although this potential was indirectly found some time ago, this is the first direct derivation from the bulk.
• As an application of the adjoint field profiles, we compute and confirm the $ | \mu \sigma | $ potential (where $ \sigma $ is a scalar field in the gauge supermultiplet) which arises in the effective two-dimensional theory on the string due to the supersymmetry breaking bulk mass term $ \mu A^2 $ for the adjoint matter.