Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Jun-ichi Sakamoto, Jun-ichi Sakamoto, , ,
| Summary:
The four-dimensional Chern-Simons (CS) theory provides a systematic procedure
for realizing two-dimensional integrable field theories. It is therefore a
natural question to ask whether integrable deformations of the theories can be
realized in the four-dimensional CS theory. In this work, we study $TbarT$
and root-$TbarT$ deformations of two-dimensional integrable field theories,
formulated in terms of dynamical coordinate transformations, within the
framework of four-dimensional CS theory coupled to disorder defects. We
illustrate our procedure in detail for the degenerate $mathcalE$-model, a
specific construction that captures and unifies a broad range of integrable
systems, including the principal chiral model.
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