scholarly journals Effective string theory for vortex lines in fluids and superfluids

2015 ◽  
Vol 2015 (10) ◽  
Author(s):  
Bart Horn ◽  
Alberto Nicolis ◽  
Riccardo Penco
2017 ◽  
Vol 32 (33) ◽  
pp. 1750201 ◽  
Author(s):  
Stefano Giaccari ◽  
Jun Nian

In this paper we discuss the boson/vortex duality by mapping the (3[Formula: see text]+[Formula: see text]1)D Gross–Pitaevskii theory into an effective string theory in the presence of boundaries. Via the effective string theory, we find the Seiberg–Witten map between the commutative and the noncommutative tachyon field theories, and consequently identify their soliton solutions with D-branes in the effective string theory. We perform various checks of the duality map and the identification of soliton solutions. This new insight between the Gross–Pitaevskii theory and the effective string theory explains the similarity of these two systems at quantitative level.


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