Various Aspects of Whitham Times

@article{Carroll1999VariousAO,
  title={Various Aspects of Whitham Times},
  author={Robert Wayne Carroll},
  journal={Acta Applicandae Mathematica},
  year={1999},
  volume={60},
  pages={225-316}
}
  • R. Carroll
  • Published 17 May 1999
  • Physics
  • Acta Applicandae Mathematica
We sketch some of the different roles played by Whitham times in connection with averaging, adiabatic invariants, soliton theory, Hamiltonian structures, topological field theory (TFT), Seiberg–Witten (SW) theory, isomonodromy problems, Hitchin systems, WDVV and Picard–Fuchs equations, renormalization, soft supersymmetry breaking, etc. 
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4 Citations
Background Citations
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4 Citations

Integrable Hierarchies in Donaldson-Witten and Seiberg-Witten Theories

We review various aspects of integrable hierarchies appearing in N = 2 supersymmetric gauge theories. In particular, we show that the blowup function in Donaldson-Witten theory, up to a redefinition…

/N=2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy

Whitham Equations, Bergman Kernel and Lax—Levermore Minimizer

We study multiphase solutions of the Whitham equations. The Whitham equations describe the zero dispersion limit of the Cauchy problem for the Korteweg—de Vries (KdV) equation. The zero dispersion…

Modulation theory, dispersive shock waves and Gerald Beresford Whitham

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