Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of 1 + 1 -dimensional bosonization
European Physical Journal C
Bosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized Sine–Gordon model, both living in 1 + 1 -dimensional curved spacetime. Applying this duality we have shown that the Thirring model fermion, in non-relativistic limit, gets identified with the soliton of non-linear Scrodinger model with Kerr form of non-linearity. We discuss one particular optical soliton in the latter model and relate it with the Thirring model fermion.
Ghosh, Subir, "Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of 1 + 1 -dimensional bosonization" (2019). Journal Articles. 583.
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