Application of beyond $\delta N$ formalism -- Varying sound speed
  We focus on the evolution of curvature perturbation on superhorizon scales by
adopting the spatial gradient expansion and show that the nonlinear theory,
called the beyond $\delta N$-formalism as the next-leading order in the
expansion. As one application of our formalism for a single scalar field, we
investigate the case of varying sound speed. In our formalism, we can deal with
the time evolution in contrast to $\delta N$-formalism, where curvature
perturbations remain just constant, and nonlinear curvature perturbation
follows the simple master equation whose form is similar as one in linear
theory. So the calculation of bispectrum can be done in the next-leading order
in the expansion as similar as the case of deriving the power spectrum. We
discuss localized features of both primordial power and bispectrum generated by
the effect of varying sound speed with a finite duration time. We can see a
local feature like a bump in the equilateral bispectrum.
