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Integrable structures in classical off-shell 10D supersymmetric Yang-Mills theory | | Jean-Loup Gervais
; Henning Samtleben
; | | Date: |
10 Dec 1999 | | Journal: | Commun.Math.Phys. 217 (2001) 1-31 | | Subject: | High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems | hep-th math-ph math.MP nlin.SI solv-int | | Abstract: | The superspace flatness conditions which are equivalent to the field equations of supersymmetric Yang-Mills theory in ten dimensions have not been useful so far to derive non trivial classical solutions. Recently, modified flatness conditions were proposed, which are explicitly integrable (hep-th/9811108), and are based on the breaking of symmetry SO(9,1) -> SO(2,1)xSO(7). In this article, we investigate their physical content. To this end, group-algebraic methods are developed which allow to derive the set of physical fields and their equations of motion from the superfield expansion of the supercurl, systematically. A set of integrable superspace constraints is identified which drastically reduces the field content of the unconstrained superfield but leaves the spectrum including the original Yang-Mills vector field completely off-shell. A weaker set of constraints gives rise to additional fields obeying first order differential equations. Geometrically, the SO(7) covariant superspace constraints descend from a truncation of Witten’s original linear system to particular one-parameter families of light-like rays. | | Source: | arXiv, hep-th/9912089 | | Services: | Forum | Review | PDF | Favorites | |
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