Quantum Dynamics of Low-Energy Theory on Semilocal Non-Abelian Strings

Abstract

Recently a low-energy effective theory on non-Abelian semilocal vortices in SQCD with the U(N) gauge group and N + \tilde{N} quark flavors was obtained in field theory arXiv:1104.2077. The result is exact in a certain limit of large infrared cut-off. The resulting model was called the zn model. We study quantum dynamics of the zn model in some detail. First we solve it at large N in the leading order. Then we compare our results with those of Hanany and Tong hep-th/0403158 (the HT model) who based their derivation on a certain type-IIA formalism, rather than on a field-theory construction. In the 't Hooft limit of infinite N both model's predictions are identical. At finite N our calculations agree with the Hanany-Tong results only in the BPS sector. Beyond the BPS sector there is no agreement between the zn and HT models. Finally, we study perturbation theory of the zn model from various standpoints.

41 pages, 5 figures, typos corrected

References in corpus (6)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• On the moduli space of semilocal strings and lumps
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• On rotationally symmetric Kahler-Ricci solitons
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model

Cited by in corpus (19)

• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Critical String from Non-Abelian Vortex in Four Dimensions
• Decomposing Instantons in Two Dimensions
• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• Critical Non-Abelian Vortex in Four Dimensions and Little String Theory
• Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions
• String "Baryon'' in Four-Dimensional $\mathcal{N}=2$ Supersymmetric QCD from 2D-4D Correspondence
• Confinement and duality in supersymmetric gauge theories
• Flux Compactification for the Critical Non-Abelian Vortex and Quark Masses
• Quantum Deformation of the Effective Theory on Non-Abelian string and 2D-4D correspondence
• Twisted-Mass Potential on the Non-Abelian String World Sheet Induced by Bulk Masses
• From Gauged Linear Sigma Models to Geometric Representation of $\mathbb{WCP}(N,\tilde{N})$ in 2D
• Non-Abelian Vortex in Four Dimensions as a Critical Superstring
• Some comments about emission channels of non abelian vortices
• Non-Perturbative Schwinger-Dyson Equations for 3d $\mathcal{N}=4$ Gauge Theories
• Long Way to Ricci Flatness
• Quantizing a solitonic string
• Dynamics of non-Abelian strings in supersymmetric gauge theories
• Heterotically Deformed Sigma Models on the World Sheet of Semilocal Strings in SQED