Deformation of Schild String

Details Deformation of Schild String Deformation of Schild String

1998-11-03

arxiv.org/abs/hep-th/9811029v2

Mod.Phys.Lett. A14 (1999) 1123-1131

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, both title and abstract are changed, discussion of some relations among our results, Nambu-Goto string and su

Scientific paper

10.1142/S0217732399001206

We attempt to construct new superstring actions with a $D$-plet of Majorana fermions $\psi^{\cal B}_A$, where ${\cal B}$ is the $D$ dimensional space-time index and $A$ is the two dimensional spinor index, by deforming the Schild action. As a result, we propose three kinds of actions: the first is invariant under N=1 (the world-sheet) supersymmetry transformation and the area-preserving diffeomorphism. The second contains the Yukawa type interaction. The last possesses some non-locality because of bilinear terms of $\psi^{\cal B}_A$. The reasons why completing a Schild type superstring action with $\psi^{\cal B}_A$ is difficult are finally discussed.

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