Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-21
Physics
High Energy Physics
High Energy Physics - Theory
Contr. Proc. VI Quantum Gravity Seminar, June, 1995; 6 pages, LATEX
Scientific paper
In this talk the Schwarz hypothesis that the duality symmetries should be pieces of the hidden gauge symmetry in a string theory is discussed. Using auxiliary linear system special dual transformations for $N=4$ SYM generalizing the Schwarz dual transformations for a principal chiral model are constructed. These transformations are related with a continuous group of hidden symmetry of a new model involving more fields as compare with $N=4$ SYM. We conjecture that the $Z_{2}$ discrete subgroup of this hidden symmetry group has a stable set of N=4 YM fields and transforms a self-dual configuration to an anti-self-dual and via versa.
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