D0 and D1 Brane With ${\kappa }_{-}$ and ${\kappa }_{+}$ Extended Symmetry

Abstract

D0 brane (D-particle) and D1 brane actions possess first and second class constraints that result in local $\kappa$ symmetry. The $\kappa$ symmetry of the D-particle and the D1 brane is extended here into a larger symmetry (${\kappa }_{-}$ and ${\kappa }_{+}$) in a larger phase space by turning second class constraints into first class. Different gauge fixings of these symmetries result in different presentations of these systems while a "unitary" gauge fixing of the new ${\kappa }_{+}$ symmetry retrieves the original action with ${\kappa }_{-}=\kappa$ symmetry. For D1 brane our extended phase space makes all constraints into first class in the case of vanishing world sheet electric field (namely $(0,1)$ string).

A new section on D1 brane with extended kappa symmetry has been added, references have been added. (18 pages, Latex file)

References in corpus (3)

• Superbranes and Superembeddings
• Superparticle Models with Tensorial Central Charges
• Light-cone Quantum Mechanics of the Eleven-dimensional Superparticle

Cited by in corpus (1)

• Classical Mechanics and kappa-symmetry