Gauge symmetries decrease the number of Dp-brane dimensions
Abstract
Description
It is known that the presence of antisymmetric background field $B_{μν}$ leads to noncommutativity of Dp-brane manifold. Addition of the linear dilaton field in the form $Φ(x)=Φ_0+a_μx^μ$, causes the appearance of the commutative Dp-brane coordinate $x=a_μx^μ$. In the present article we show that for some particular choices of the background fields, $a^2\equiv G^{μν}a_μa_ν=0$ and $\tilde a^2\equiv [ (G-4BG^{-1}B)^{-1}\ ]^{μν}a_μa_ν=0$, the local gauge symmetries appear in the theory. They turn some Neuman boundary conditions into the Dirichlet ones, and consequently decrease the number of the Dp-brane dimensions.
We improve Sec.4. and Conclusion and we added the Appendix in order to clarify results
We improve Sec.4. and Conclusion and we added the Appendix in order to clarify results