3 research outputs found
S 7 and. . .
No full textWe investigate the seven-sphere as a group-like manifold and its extension to a Kac-Moodylike algebra. Covariance properties and tensorial composition of spinors under S 7 are defined. The relation to Malcev algebras is established. The consequences for octonionic projective spaces are examined. Current algebras are formulated and their anomalies are derived, and shown to be unique (even regarding numerical coefficients) up to redefinitions of the currents. Nilpotency of the BRST operator is consistent with one particular expression in the class of (field-dependent) anomalies. A Sugawara construction is given. published in Commun.Math.Phys. 167 (1995) 373. ? e-mail [email protected] y e-mail [email protected] M. Cederwall and C.R. Preitschopf, "S 7 and c S 7 " 1. Preliminaries. This paper is devoted to an investigation of the seven-sphere as a manifold equipped with group-like multiplication, and to its extension to a Kac-Moody-like algebra. As is well known, the seven-..
Infinite Dimensional Symmetries of Self-Dual Yang-Mills Theories.
No full textWe construct infinite dimensional symmetries of the Chalmers-Siegel action describing the self-dual sector of non-supersymmetric Yang-Mills. The symmetries are derived by virtue of a canonical transformation between the Yang-Mills fields and new fields that map the Chalmers-Siegel action to a free theory which has been used to construct a Lagrangian approach to the MHV rules. We describe the symmetries of the free theory in a quite general way which are an infinite dimensional algebra in the group algebra of isometries.
We dimensionally reduce the symmetries of the action to write down symmetries of the Hitchin system and further, we extend the construction to the supersymmetric, self-dual theory.
We review recent developments in the approach to calculating N=4 Yang-Mills scattering amplitudes using symmetry arguments. Super-conformal symmetry and the recently discovered dual super-conformal symmetry have been shown to be related as a Yangian algebra and moreover, anomalous terms appearing in their action on amplitudes lead to deformations of the generators which gives rise to recursive relationships between amplitudes
