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

Abstract

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.

18 pages; notations changed

References in corpus (5)

• Surface Defects and Resolvents
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
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Cited by in corpus (3)

• Quantum Deformation of the Effective Theory on Non-Abelian string and 2D-4D correspondence
• More on Two-Dimensional $O(N)$ Models with $\mathcal{N}=(0,1)$ Supersymmetry
• Mass deformed world-sheet action of semi-local vortices