Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2012)116
Keywords
Supersymmetric gauge theory; Duality in Gauge Field Theories; Solitons Monopoles and Instantons; Integrable Field Theories
Categories
Funding
- National Science Foundation [NSF PHY11-25915]
- University of Cincinnati
- University of Kentucky
- National Science Council
- Center for Theoretical Sciences at National Taiwan University
- DOE [DE-FG02-94ER40823]
- FTPI at University of Minnesota
- [RFBR-12-02-00284]
- [PICS-12-02-91052]
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We reconsider string and domain wall central charges in 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 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.
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