1999/10/28 by Jean-Loup Gervais, Gervais, Jean-Loup
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.hep-th/9910235
14 pages Latex
arxiv created 1999/10/28 · openalex publication_date 1999/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a recent paper (hep-th/9811108), Saveliev and the author showed that there exits an on-shell light cone gauge where the non-linear part of the field equations reduces to a (super) version of Yang's equations which may be solved by methods inspired by the ones previously developed for self-dual Yang-Mills equations in four dimensions. Later on (hep-th/9903218), the analogy between these latter theories and the present ones was pushed further by writing down a set of super partial linear differential equations which are the analogues of the Lax pair of Belavin and Zakharov. Using this Lax representation, it is shown in the present article that solution-generating techniques are at work, which are similar to the ones developed for four dimensional self-dual Yang-Mills theories in the late seventies.