https://doi.org/10.1140/epjc/s10052-019-7502-0
Regular Article - Theoretical Physics
Duality between Dirac fermions in curved spacetime and optical solitons in non-linear Schrodinger model: magic of 
-dimensional bosonization
Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, India
* e-mail: subirghosh20@gmail.com
Received:
13
September
2019
Accepted:
19
November
2019
Published online:
28
November
2019
Bosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized Sine–Gordon model, both living in -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.
© The Author(s), 2019
