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Type I Superconductivity upon Monopole Condensation in Seiberg-Witten Theory

A. Vainshtein, A. Yung

Abstract

We study the confinement scenario in N=2 supersymmetric SU(2) gauge theory near the monopole point upon breaking of N=2 supersymmetry by the adjoint matter mass term. We confirm claims made previously that the Abrikosov-Nielsen-Olesen string near the monopole point fails to be a BPS state once next-to-leading corrections in the adjoint mass parameter taken into account. Our results shows that type I superconductivity arises upon monopole condensation. This conclusion allows us to make qualitative predictions on the structure of the hadron mass spectrum near the monopole point.

Type I Superconductivity upon Monopole Condensation in Seiberg-Witten Theory

Abstract

We study the confinement scenario in N=2 supersymmetric SU(2) gauge theory near the monopole point upon breaking of N=2 supersymmetry by the adjoint matter mass term. We confirm claims made previously that the Abrikosov-Nielsen-Olesen string near the monopole point fails to be a BPS state once next-to-leading corrections in the adjoint mass parameter taken into account. Our results shows that type I superconductivity arises upon monopole condensation. This conclusion allows us to make qualitative predictions on the structure of the hadron mass spectrum near the monopole point.

Paper Structure

This paper contains 12 sections, 85 equations, 1 table.

Table of Contents

  1. Introduction
  2. Monopole condensation
  3. Fayet-Iliopoulos term in ${\cal N}\!\!=\!2\;$ QED
  4. ${\cal N}\!\!=\!2\;$ superalgebra in 3+1 dimensions
  5. Mass spectrum
  6. ${\cal N}\!\!=\!4\;$ superalgebra in 2+1 dimensions
  7. The BPS solution for string
  8. The mass term perturbation
  9. Mass spectrum
  10. The string: qualitative remarks.
  11. Large $\mu_D$ limit
  12. Conclusions