  Loop quantum cosmology(LQC) is the symmetric model of loop quantum gravity.
In this paper, we generalize the structure of loop quantum cosmology to the
theories with arbitrary spacetime dimensions. The isotropic and homogenous
cosmological model in n+1 dimensions is quantized by the loop quantization
method. Interestingly, we find that the underlying quantum theories are divided
into two qualitatively different sectors according to spacetime dimensions. The
effective Hamiltonian and modified dynamical equations of n+1 dimensional LQC
are obtained. Moreover, our results indicate that the classical big bang
singularity is resolved in arbitrary spacetime dimensions by a quantum bounce.
We also briefly discuss the similarities and differences between the n+1
dimensional model and the 3+1 dimensional one. Our model serves as a first
example of higher dimensional loop quantum cosmology and offers possibility to
investigate quantum gravity effects in higher dimensional cosmology.
