On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions

Bobby Acharya; Cumrun Vafa

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arXiv · hep-th/0103011

On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions

Bobby Acharya·Cumrun Vafa

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Abstract

We study the BPS domain walls of supersymmetric Yang-Mills for arbitrary gauge group. We describe the degeneracies of domain walls interpolating between arbitrary pairs of vacua. A recently proposed large N duality sheds light on various aspects of such domain walls. In particular, for the case of G = SU(N) the domain walls correspond to wrapped D-branes giving rise to a 2+1 dimensional U(k) gauge theory on the domain wall with a Chern-Simons term of level N. This leads to a counting of BPS degeneracies of domain walls in agreement with expected results.

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Bobby Acharya, Cumrun Vafa. 2001-03-01. On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions. https://arxiv.org/abs/hep-th/0103011

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