On domain walls of N=1 supersymmetric Yang-Mills in four-dimensions
By B. Acharya, C. Vafa. 2001
157 citations recorded by the source corpus.
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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/72db859b69d6da5a0994361995c53777e2dc7c56
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In Nuclear and High Energy Physics
Citations in the corpus
- Generalized global symmetries (2014, methodology): “Indeed, the BPS domain wall between the k-th and (k + n)-th vacua of the theory conjecturally supports an N = 1 supersymmetric U(n)N Chern-Simons theory [57].”
- The supergravity dual of a theory with dynamical supersymmetry breaking (2001, background): “1 A theory with this matter content, but only N = 1 supersymmetry, arises on the domain walls that separate different vacua of N = 1 super-Yang-Mills in 3+1 dimensions [10].”
- Fivebranes and 3-manifold homology (2016, result): “ules10: C[Mc at(G;M 3)] = Verlinde algebra of csu(p) N: (2.47) This is in agreement with the fact that [25,33,47{49]: T U(N)[L(p;1)] : 3d N= 2 U(N) super-CS at level pwith adjoint chiral (2.48) As in [47,49], it is often convenient to give a (real) mass to the adjoint chiral multiplet . Then, integr”
- Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling (2004, background): “spond to excited strings. As was shown by Witten [24], the field nℓ can be viewed as a field describing kinks interpolating between the true vacuum and its neighbor. The multiplicity of such kinks is N [28], they form an N-plet. This is the origin of the superscript ℓ in nℓ. Moreover, Witten showed, b”
- Fivebranes and 4-manifolds (2013, unknown): “3/Zp and to reduce the M-theory setup with a five-brane on the S1 fiber. This reduction was very effective e.g. in analyzing a similar system of five-branes on Lens spaces with half as much supersymmetry [40]. It yields type IIA string theory with a D4-brane wrapped on the base S2 of the Hopf fibration w”
- M-Theory Dynamics On A Manifold Of G_2 Holonomy (2001, background): “The case of a cone on S 3 × S 3 or a quotient thereof has been studied previously [7] [8] [9] [10] and found to be rather interesting.”
- Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy (2001, methodology): “Recent applications of Ricci-flat manifolds with special holonomy in string and M-theory can be found in [14-45].”
- The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1) (2004, background): “Thus, we rotate the D5’-branes by an angle θ in every two-plane x − x: Q5 D5 branes : 056789 Q5 D5 ′ branes : 05[16]θ[27]θ[38]θ[49]θ .”
- Comments on one-form global symmetries and their gauging in 3d and 4d (2018, background): “Also, in a closely related supersymmetric theory, a string construction shows that the theory on the interface is U(1)−N [5], which is dual (as spin TQFT) to our answer SU(N)1 [6].”