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Non-Abelian Webs of Walls

Minoru Eto, Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Abstract

Domain wall junctions are studied in N=2 supersymmetric U(Nc) gauge theory with Nf(>Nc) flavors. We find that all three possibilities are realized for positive, negative and zero junction charges. The positive junction charge is found to be carried by a topological charge in the Hitchin system of an SU(2) gauge subgroup. We establish rules of the construction of the webs of walls. Webs can be understood qualitatively by grid diagram and quantitatively by associating moduli parameters to web configurations.

Non-Abelian Webs of Walls

Abstract

Domain wall junctions are studied in N=2 supersymmetric U(Nc) gauge theory with Nf(>Nc) flavors. We find that all three possibilities are realized for positive, negative and zero junction charges. The positive junction charge is found to be carried by a topological charge in the Hitchin system of an SU(2) gauge subgroup. We establish rules of the construction of the webs of walls. Webs can be understood qualitatively by grid diagram and quantitatively by associating moduli parameters to web configurations.

Paper Structure

This paper contains 4 sections, 20 equations, 8 figures.

Table of Contents

  1. Introduction and Summary
  2. Webs of walls in the SUSY Yang-Mills theory
  3. Moduli and Configurations
  4. Acknowledgements

Figures (8)

  • Figure 1: Internal structures of the domain walls with $g\sqrt c \ll |\Delta m+i\Delta n|$.
  • Figure 2: Internal structures of the junctions with $g \sqrt c \ll |\Delta m+i\Delta n|$
  • Figure 3: grid diagram and their orientation
  • Figure 4: (a1) and (a2) for the hexagon-type and (b1) and (b2) for the parallelogram-type web.
  • Figure 5: The web of walls in the $U(2)$ gauge theory with 6 flavors.
  • ...and 3 more figures