Chapter 5: Toward Quantization and Dualities of Integrable Field Theories
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This chapter pushes integrable field theories beyond classical physics into quantization and dualities, revealing how the same mathematical skeleton underlies wildly different physical systems.
Integrable SystemsQuantizationDuality (Physics)Chern-Simons Theory
Theory Briefing
- 4d Chern-Simons theory provided the classical foundation for integrable field theories in earlier chapters — now quantum effects enter the picture.
- Quantization of integrable models forces physicists to confront dualities, where two seemingly different theories turn out to be mathematically identical.
- The jump from classical to quantum integrability is rarely straightforward — symmetry structures that survive classically can break or transform under quantization.