BPS states in omega background and integrability. (English) Zbl 1397.81344
Summary: We reconsider string and domain wall central charges in \( \mathcal{N} = 2\) supersymmetric gauge theories in four dimensions in presence of the Omega background in the Nekrasov-Shatashvili (NS) limit. Existence of these charges entails presence of the corresponding topological defects in the theory – vortices and domain walls. In spirit of the 4d/2d duality we discuss the worldsheet low energy effective theory living on the BPS vortex in \( \mathcal{N} =2\) Supersymmetric Quantum Chromodynamics (SQCD). We discuss some aspects of the brane realization of the dualities between various quantum integrable models. A chain of such dualities enables us to check the AGT correspondence in the NS limit.
MSC:
| 81T60 | Supersymmetric field theories in quantum mechanics |
Keywords:
supersymmetric gauge theory; duality in gauge field theories; solitons monopoles and instantons; integrable field theoriesReferences:
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