Counting Domain Walls in N=1 Super Yang-Mills Theory

Details Counting Domain Walls in N=1 Super Yang-Mills Theory Counting Domain Walls in N=1 Super Yang-Mills Theory

2002-05-09

arxiv.org/abs/hep-th/0205083v3

Phys.Rev. D66 (2002) 065015

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, RevTeX, 3 figures; v2: discussion of the index slightly expanded, using an alternative regulator, and references add

Scientific paper

10.1103/PhysRevD.66.065015

We study the multiplicity of BPS domain walls in N=1 super Yang-Mills theory, by passing to a weakly coupled Higgs phase through the addition of fundamental matter. The number of domain walls connecting two specified vacuum states is then determined via the Witten index of the induced worldvolume theory, which is invariant under the deformation to the Higgs phase. The worldvolume theory is a sigma model with a Grassmanian target space which arises as the coset associated with the global symmetries broken by the wall solution. Imposing a suitable infrared regulator, the result is found to agree with recent work of Acharya and Vafa in which the walls were realized as wrapped D4-branes in IIA string theory.

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