  Bosonic formulation of the negative energy sea, so called Dirac sea, is
proposed by constructing a hole theory for bosons as a new formulation of the
second quantization of bosonic fields. The original idea of Dirac sea for
fermions, where the vacuum state is considered as a state completely filled by
fermions of negative energy and holes in the sea are identified as
anti-particles, is extended to boson case in a consistent manner. The bosonic
vacuum consists of a sea filled by negative energy bosonic states, while
physical probabilities become always positive definite. We introduce a method
of the double harmonic oscillator to formulate the hole theory of bosons. Our
formulation is also applicable to supersymmetric field theory. The sea for
supersymmetric theories has an explicit supersymmetry. We suggest applications
of our formulations to the anomaly theories and the string theories.

High Energy Physics - Theory