Quantum BRST Charge and OSp(18) Superalgebra of Twistor-Like p-branes with Exotic Supersymmetry and Weyl Symmetry

摘要

The physical interpretation of the central charges in supersymmetry algebra as topological charges carried by branes [1] advanced understanding of the phenomena of partial spontaneous breaking of supersymmetry [2]. Because branes are constituents of M-theory, spontaneously breaking supersymmetry, their global and local symmetries correlate with the symmetries of M-theory [3], [4]. Studying these symmetries resulted in the model independent classical analysis of BPS states preserving 1/4, 1/2 or 3/4 fractions ofthe partially spontaneously broken D=4 N =1 supersymmetry [5]. A special interest to construction of a physical model with domain wall configurations preserving 3 4 fraction of the D = 4 N = 1 supersymmetry against spontaneous breaking was subscribed there. That configurations were earlier studied in superparticle dynamics [6] and algebraically realized as the brane intersections in [7]. Then the tensionless string/brane model preserving 3/4 fraction of the D = 4 N = 1 supersymmetry and generating static solutions for these tensionless objects was proposed in [8]. These results have sharpen the generalquestion: whether quantum exotic BPS states saturated by the p-brane states protect the same high (M-1)/M fraction of N = 1 global supersymmetry against spontaneous breaking as in the classical case?