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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

Published online by Cambridge University Press:  04 March 2019

Horaƫiu Năstase
Affiliation:
Universidade Estadual Paulista, São Paulo
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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.

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Publisher: Cambridge University Press
Print publication year: 2019

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