The Holomorphic Tension of Nonabelian Vortices

Abstract

We continue the work hep-th/0411075 considering here the case of degenerate masses. A nonabelian vortex arises in r-vacua upon the breaking by a superpotential for the adjoint field. We find the BPS tension in the strong coupling regime computing the dual-quark condensate. Then we find that it is equal to a simple quantity in the chiral ring of the theory and so we conjecture the validity of our result out of the strong coupling regime. Our result gives an interesting hint about the duality r <--> N_f-r, seeing it as the exchange first <--> second sheet of N=1 Riemann surface.

12 pages 1 figure. v3: Revised version. v4: Added a note on the non-BPS correction. v5: Typos corrected, submitted to NPB

References in corpus (2)

• The Holomorphic Tension of Vortices
• Light Nonabelian Monopoles and Generalized r-Vacua in Supersymmetric Gauge Theories

Cited by in corpus (10)

• Solitons in the Higgs phase -- the moduli matrix approach --
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Moduli Space of Non-Abelian Vortices
• Quantum Vortex Strings: A Review
• Non-Abelian Vortices of Higher Winding Numbers
• Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• Heterotic Vortex Strings
• The Quantum Dynamics of Heterotic Vortex Strings
• Static Interactions of non-Abelian Vortices