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(Nc) gauge theory with Nf fundamental matter, which in the limit \( \mathcal{O}\left({N}_c\right)\sim \mathcal{O}\left({N}_f\right) \) 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 (Nf/Nc). This is similar, in spirit, with known results in large Nc Quantum Chromodynamics with Nf 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.
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Kundu, A. Flavours and infra-red instability in holography. J. High Energ. Phys. 2017, 101 (2017). https://doi.org/10.1007/JHEP11(2017)101
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DOI: https://doi.org/10.1007/JHEP11(2017)101