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.

arXiv commentLatex, 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 (14)

• Classical and Quantized Tensionless Strings
• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• Superparticle Models with Tensorial Central Charges
• Tensorial Central Charges and New Superparticle Models with Fundamental Spinor Coordinates
• (Twisted) Toroidal Compactification of pp-Waves
• Hidden Spacetime Symmetries and Generalized Holonomy in M-theory
• The geometry of branes and extended superspaces
• Holonomy and Symmetry in M-theory
• BPS states of D=4 N=1 supersymmetry
• Randomizing the Superstring
• Multi-scalar p-brane solitons
• BPS preons and tensionless super-p-brane in generalized superspace
• Wess-Zumino actions and Dirichlet Boundary Conditions for Super p-branes with Exotic Fractions of Supersymmetry
• BPS States in 10+2 Dimensions

Cited by in corpus (1)

• Hamiltonian structure and noncommutativity in $p$-brane models with exotic supersymmetry