Whether conformal supersymmetry is broken by quantum p-branes with exotic supersymmetry?

Abstract

Classical and quantum symmetries of super $p$-branes preserving exotic 3/4 fraction of $N=1D=4$ global supersymmetry are studied. Classical realization of the algebra of global and world-volume symmetries is constructed and its quantum generalizations are analyzed. Established is that the status of the conformal supersymmetry $OSp(1|8)$ as a proper quantum symmetry of brane depends both on the choice of its vacuum state and the associated ordering of $\hat{\mathcal{Q}}$ and $\hat{\mathcal{P}}$ operators.

Latex, 18 pages, no figures. Talk given at the International Workshop "Supersymmetry and Quantum Symmetries SQS'03", July 2003, Dubna. V2: title corrected, added new material in Sec. 6 and Conclusion, new references included, typos corrected

References in corpus (1)

• Holonomy and Symmetry in M-theory