N=1 SUPER-P-BRANES in twistor-like Lorentz harmonic formulation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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(revized: minor changes, which was nesessary because previous version cannot be read LATEX byond Padova University), 24 pages,

Scientific paper

10.1088/0264-9381/12/3/002

Unique twistor--like Lorentz harmonic formulation for all N=1 supersymmetric extended objects (super-p-branes) moving in the space--time of arbitrary dimension D (admissible for given $p$) are suggested. The equations of motion are derived, explicit form of the \kappa-symmetry transformations is presented and the classical equivalence to the standard formulation is proved. The cases with minimal world--sheet dimensions $p=1,2$, namely of D=10 heterotic string and D=11 supermembrane, are considered in details. In particular, the explicit form of irreducible \kappa-symmetry transformations for D=11 supermembrane is derived.

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