Abstract
Abstract
With a simple gravitational model in five dimensions, defined by Einstein-gravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld and a Chern-Simons term, we explore the fate of BF-bound violation for a probe scalar field and a fluctuation mode of the corresponding geometry. We assume this simple model to capture the dynamics of a strongly coupled SU(N
c
) gauge theory with N
f
fundamental matter, which in the limit
$$ \mathcal{O}\left({N}_c\right)\sim \mathcal{O}\left({N}_f\right) $$
O
N
c
∼
O
N
f
and with a non-vanishing matter density, is holographically described by an AdS2-geometry in the IR. We demonstrate that, superconductor/superfluid instabilities are facilitated and spontaneous breaking of translational invariance is inhibited with increasing values of (N
f
/N
c
). This is similar, in spirit, with known results in large N
c
Quantum Chromodynamics with N
f
quarks and a non-vanishing density, in which the chiral density wave phase becomes suppressed and superconducting instabilities become favoured as the number of quarks is increased.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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