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Physics and Astronomy (1)

particle–vortex duality

Cambridge University Press (1)

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1 results

35 - Particle–Vortex Duality in Three Dimensions, Particle–String Duality in Four Dimensions, and p-Form Fields in Four Dimensions
from Part III - Other Spins or Statistics; General Relativity
Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
Book:

Classical Field Theory

Published online:

04 March 2019

Print publication:

14 March 2019, pp 330-337
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Summary

We study dualities in various dimensions. We start with the example of Maxwell duality in 3+1 dimensions from the point of view of a transformation with a master action. We continue with the particle–vortex duality in 2+1 dimensions, also through a master action, and then the particle–string duality in 3+1 dimensions. Finally, we describe the general Poincaré duality in d dimensions, and we end with applications in 3+1 dimensions.