Effect of tungsten dissolution on the mechanical properties of Ti–W composites

Superbrane actions and geometrical approach

“…The κ-symmetry was conjectured to be a manifestation of local extended supersymmetry (irreducible by definition) on the world supersurface swept by a super-p-brane in a target superspace. This was firstly proved for N = 1 superparticles in three and four dimensions [1] and then for N = 1, D = 6, 10 superparticles [2], N = 1 [3], N = 2 [4] superstrings, N = 1 supermembranes [5] and finally for all presently known super-p-branes [6,7,8] in all space-time dimensions where they exist. In [9] a twistor transform was applied to relate the Green-Schwarz and the Ramond-Neveu-Schwarz formulation.…”

“…Apart from having clarified the geometrical nature of κ-symmetry and having made a substantial impact on the development of new methods of superstring covariant quantization (see [10,11] and references therein), the doubly supersymmetric approach has proved its power in studying new important class of super-p-branes (such as Dirichlet branes [12] and the M-theory five-brane [13]) for which supersymmetric equations of motion were obtained in the geometrical approach [8] earlier than complete supersymmetric actions for them were constructed by standard methods [14,15]. Thus, a problem arises to relate the super-p-brane equations obtained from the action with the field equations of the doubly supersymmetric geometrical approach, and to convince oneself that they really describe one and the same object.…”

“…In this contribution we would like to review basic elements of the generalized action construction and to show that it is also applicable to the Dirichlet branes [17] and, at least partially, to the M-theory five-brane (M-5-brane), thus allowing one to establish the relation between the formulations of [14,15] and [8,18].…”

“…Thus for the time being further consideration is not applicable in full measure to the M-5-brane action (21), though final superfield equations for the superbranes which one gets as geometrical conditions of supersurface embedding are valid for the M-5-brane as well. The relation of the M-5-brane action (1) and (4) [15] and component field equations of the M-5-brane obtained from the doubly supersymmetric geometrical approach [8,18] was established in [27].…”

“…As we shall sketch below, in the case of super-p-branes the generalized action serves for getting geometrical conditions of embedding world supersurfaces into target superspaces, which completely determine the on-shell dynamics of the superbranes [6,7,8,17]. However an open problem is how to extend the generalized action approach to the quantum level.…”