Noncommutativity and Nonassociativity of Type II Superstring with Coordinate Dependent RR Field

In this paper we will consider noncommutativity that arises from bosonic T-dualization of type II superstring in presence Ramond-Ramond (RR) field, which linearly depends on the coordinates x ? $x^\mu$ . The derivative RR field C ? ? $C^{\alpha \beta }_\mu$ is infinitesimal. We employ generalized Buscher procedure can be applied to cases have coordinate dependent background fields. Bosonic part newly obtained T-dual theory non-local. It defined non-geometric space spanned by Lagrange multipliers y $y_\mu$ apply once more and prove original salvaged. Finally, use transformation laws along with Poisson brackets derive bracket structure nonassociativity relation. Noncommutativity parameter supercoordinates , ? $\theta ^\alpha$ ¯ $\bar{\theta }^\alpha$ while a constant tensor containing infinitesimal