Dual formulations of vortex strings in supersymmetric Abelian Higgs model

Abstract

We discuss dual formulations of vortex strings (magnetic flux tubes) in the four-dimensional $\mathcal{N}=1$ supersymmetric Abelian Higgs model with the Fayet--Iliopoulos term in the superspace formalism. The Lagrangian of the model is dualized into a Lagrangian of the $BF$-type described by a chiral spinor gauge superfield including a 2-form gauge field. The dual Lagrangian is further dualized into a Lagrangian given by a chiral spinor superfield including a massive 2-form field. In both of the dual formulations, we obtain a superfield into which the vortex strings and their superpartners are embedded. We show the dual Lagrangians in terms of a superspace and a component formalism. In these dual Lagrangians, we explicitly show that the vortex strings of the original model are described by a string current electrically coupled with the 2-form gauge field or the massive 2-form field.

30 pages; v2: references added

References in corpus (20)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Instantons in the Higgs Phase
• TASI Lectures on Solitons
• Universal Reconnection of Non-Abelian Cosmic Strings
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• Quark-hadron continuity beyond Ginzburg-Landau paradigm
• The Ghost Condensate in N=1 Supergravity
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Non-Abelian Monopoles in the Higgs Phase
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD
• Higher derivative three-form gauge theories and their supersymmetric extension
• Monopole-vortex complex at large distances and nonAbelian duality
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• The effective action of a BPS Alice string
• Abelian tensor hierarchy and Chern-Simons actions in 4D N=1 conformal supergravity
• Couplings of N=1 chiral spinor multiplets

Cited by in corpus (2)

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• Emergent discrete 3-form symmetry and domain walls