Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-04-10
Phys.Lett. B483 (2000) 443-450
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, Latex, references added
Scientific paper
10.1016/S0370-2693(00)00600-6
We discuss the non-linear sigma model representing a NSR open string in a curved background with non-zero $B_{\mu\nu}$-field. With this coupling the theory is not automatically supersymmetric, due to boundary contributions. When B=0 supersymmetry is ensured by the conditions that follow as the boundary contribution to the field equations. We show that inclusion of a particular boundary term restores this state of affairs also in the presence of a $B$-field. The boundary conditions derived from the field equations in this case agree with those that have been proposed for constant $B$-field. A coupling to a boundary $A_\mu$-field will modify both the boundary conditions and affect the supersymmetry. It is shown that there is an $A$-coupling with non-standard fermionic part that respects both the supersymmetry and the shift symmetry (in the $B$ and $A$ fields), modulo the (modified) boundary conditions.
Haggi-Mani Parviz
Lindstrom Ulf
Zabzine Maxim
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