Gauge Theory, Strings & Gravity
Explain integrable structures in supersymmetric gauge theories, strings, holography and special gravitational reductions.
This volume will develop the subjects in the chapter map below. Use the outline to locate the methods and examples you want to study; the individual readings are still being developed.
Learning sequences: Open Toda · The XXX spin chain · KdV solitons · Finite-ring TASEP
Readings and planned coverage
CHAPTER 01
Seiberg–Witten systems
Planned coverage
- Seiberg–Witten curves and integrable Hamiltonians
CHAPTER 02
Gauge/Bethe correspondence & supersymmetric vacua
Planned coverage
- The Nekrasov–Shatashvili limit
CHAPTER 03
Holographic spectral problems
Planned coverage
- The AdS/CFT quantum spectral curve
CHAPTER 04
String worldsheets & integrable backgrounds
Planned coverage
- Classical worldsheet integrability
CHAPTER 05
Amplitudes, correlators & special sectors
Planned coverage
- Integrable structures in high-energy QCD sectors
CHAPTER 06
Gauge-theoretic constructions
Planned coverage
- Four-dimensional Chern–Simons constructions
CHAPTER 07
Self-dual systems & gravitational reductions
Planned coverage
- Inverse-scattering methods for symmetry-reduced gravity