Counting domain walls in N=1 super Yang-Mills theory -: art. no. 065015

被引:35
|
作者
Ritz, A
Shifman, M
Vainshtein, A
机构
[1] Univ Cambridge, Ctr Math Sci, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[2] Univ Minnesota, Inst Theoret Phys, Minneapolis, MN 55455 USA
关键词
D O I
10.1103/PhysRevD.66.065015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 world volume theory, which is invariant under the deformation to the Higgs phase. The world volume 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 type IIA string theory.
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页数:14
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