Abstract
We analyze the connection between non-linear sigma models, self-dual Yang-Mills theory and General Relativity (self-dual and non self-dual, with and without Killing vectors), both at the level of the equations and at the level of the different types of solutions (solitons, instantons and calorons) of these theories.
Keywords
- Einstein Equation
- Sigma Model
- Killing Vector
- Imaginary Time
- Wick Rotation
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© 1985 Springer-Verlag
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Sánchez, N. (1985). Einstein equations without killing vectors, non-linear sigma models and self-dual yang-mills theory. In: Doebner, HD., Hennig, JD. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074590
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DOI: https://doi.org/10.1007/BFb0074590
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