Quantum BRST charge and OSp(1|8) superalgebra of twistor-like p-branes with exotic supersymmetry and Weyl symmetry

TL;DR

This paper develops a quantum BRST charge and constructs a superalgebra for twistor-like p-branes, revealing their symmetry structures and confirming the nilpotency and closure of the algebra at quantum level.

Contribution

It introduces a quantum realization of the BRST charge and superalgebra for twistor-like p-branes with exotic supersymmetry and Weyl symmetry, advancing understanding of their quantum symmetries.

Findings

Quantum BRST charge is nilpotent.

Quantized OSp(1|8) superalgebra is closed.

Symmetry structures are consistent at quantum level.

Abstract

Algebra of the constraints of twistor-like p-branes restoring 3/4 fraction of the spontaneously broken D=4 N=1 supersymmetry is studied using the conversion method. Classical and quantum realizations of the BRST charge, unified superalgebra of the global generalized superconformal OSp(1|8) and Virasoro and Weyl symmetries are constructed. It is shown that the quantum Hermitian BRST charge is nilpotent and the quantized OSp(1|8) superalgebra is closed.