Duality in the Low Dimensional Field Theory

Ivan Andrić

Ivan Andrić

Theoretical Physics Division, Rudjer Bosković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia

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Danijel Jurman

Danijel Jurman

Theoretical Physics Division, Rudjer Bosković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia

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First published: 27 August 2002

Summary

A strong-weak coupling duality appears in the quantum mechanical many body system with the interacting potential proportional to the pair-wise inverse-squared distance. In the large N limit the field theory formulation possess the soliton solution in non-perturbative “Bogomolny-Prasad-Sommerfeld” limit (BPS). In this limit we establish duality between original and soliton fields and the dual relation among coupling constants.

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