  We study a nearly critical superfluid system from two complementary
approaches. Within the first approach, we formulate a Schwinger-Keldysh
effective field theory (EFT) for the system when it is located slightly above
the critical temperature. . The set of symmetries, particularly the dynamical
Kubo-Martin-Schwinger (KMS) symmetry and chemical shift symmetry, strictly
constrains the form of EFT action. Within the second approach, using the
holographic Schwinger-Keldysh technique, we derive the effective action for a
``microscopic'' holographic superfluid, confirming the EFT construction. A
systematic inclusion of non-Gaussianity is one highlight of present study.
