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

TL;DR

This paper introduces a novel twistor-like Lorentz harmonic formulation for N=1 super-p-branes in various dimensions, providing explicit equations, symmetry transformations, and demonstrating classical equivalence to standard models.

Contribution

It presents a new unified twistor-like Lorentz harmonic approach for all N=1 super-p-branes, including explicit symmetry transformations and equivalence proofs.

Findings

Derived equations of motion for super-p-branes.

Explicit form of mbda-symmetry transformations.

Established classical equivalence to standard formulations.

Abstract

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.