  We develop further the proposal of arXiv:0806.3692 that a new state of matter
-- charged condensate of spin-0 nuclei -- may exist in helium-core dwarf stars.
The charged condensate and its fluctuations are described by an effective field
theory Lagrangian. The spectrum of bosonic fluctuations is gapped, while
electrons, at temperatures of interest, give rise to gapless excitations near
the Fermi surface. These properties determine the evolution of the dwarfs with
condensed cores. In particular, we show that such dwarf stars would cool
significantly faster than their crystallized counterparts. As a result, the
luminosity function for the helium-core dwarfs will have a sharp drop-off after
the condensation. It is tempting to interpret the recently discovered abrupt
termination of a sequence of 24 helium-core dwarf candidates in NGC 6397 as a
signature of the charged condensation.
