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- Title
Holomorphic Chern-Simons theory and lambda models: PCM case.
- Authors
Schmidtt, David M.
- Abstract
In this note we consider the symplectic reduction of a four-dimensional holomorphic Chern-Simons theory recently introduced in [1] for describing integrable field theories. We work out explicitly the case of the lambda deformed Principal Chiral Model (PCM) and show that the symplectic reduction works as a localization mechanism. The reduced Chern-Simons theory restricts to the set of poles of the twist function underlying the theory, where the known classical integrability of the lambda deformed PCM can be reconstructed from the phase space data associated to this set of points in the spectral space.
- Subjects
CHERN-Simons gauge theory; PULSE-code modulation; MODEL theory; SET theory; POINT set theory; PHASE space; GEOMETRIC quantization
- Publication
Journal of High Energy Physics, 2020, Vol 2020, Issue 4, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP04(2020)060