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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.42 no.3 (2015), pp. 263-276
Notes on Vortices and String/Gauge Theory Correspondence
H. Dimov1, R.C. Rashkov1,2
1Department of Physics, University of Sofia, 5 J. Bourchier Blvd., 1164 Sofia, Bulgaria
2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria
go back1Department of Physics, University of Sofia, 5 J. Bourchier Blvd., 1164 Sofia, Bulgaria
2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria
Abstract. In this notes we consider relations between strings, vortices, and 2D gauge theories. The framework we study these relations is string/gauge theory dualities. We show that certain quantities satisfy Toda equations. Next, we show that the brane construction of non-Abelian cortices can be embedded into ABJM theory and thus, it contains non-Abelian vortex solutions.