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PreprintarXiv licencearXiv

Dark-Sector Bicriticality in Hyperscaling-Violating Holographic Superfluids

Abstract

We show analytically that a dark-scalar order can preempt anisotropic p-wave order in a gauge-invariant hyperscaling-violating holographic superfluid. Near a point where the source-free scalar and vector instabilities coincide, their grand potentials can be compared in closed perturbative form. The homogeneous coexistence solution is a saddle, so the preferred state switches directly between an anisotropic vector-condensed phase and an isotropic dark-scalar-condensed phase across a first-order line. This line terminates where the two continuous normal-to-ordered transition lines meet, producing a bicritical point. A joint hyperscaling/Lifshitz deformation moves the bicritical point, showing that nonconformal infrared scaling can select not only the critical scale but also the spatial symmetry of the preferred ordered phase. Entanglement anisotropy follows the squared vector order and therefore jumps to zero when the dark-scalar phase takes over. The result provides a controlled dark-Higgs-motivated mechanism for ordered-to-ordered symmetry conversion at leading probe order.

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BibTeX
@misc{chae2026darksector,
  title = {{Dark-Sector Bicriticality in Hyperscaling-Violating Holographic Superfluids}},
  author = {Ji-Seong Chae},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.24328},
  eprint = {2606.24328},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.24328},
}
RIS
TY  - UNPB
TI  - Dark-Sector Bicriticality in Hyperscaling-Violating Holographic Superfluids
AU  - Ji-Seong Chae
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2606.24328
UR  - https://arxiv.org/abs/2606.24328
AB  - We show analytically that a dark-scalar order can preempt anisotropic p-wave order in a gauge-invariant hyperscaling-violating holographic superfluid. Near a point where the source-free scalar and vector instabilities coincide, their grand potentials can be compared in closed perturbative form. The homogeneous coexistence solution is a saddle, so the preferred state switches directly between an anisotropic vector-condensed phase and an isotropic dark-scalar-condensed phase across a first-order line. This line terminates where the two continuous normal-to-ordered transition lines meet, producing a bicritical point. A joint hyperscaling/Lifshitz deformation moves the bicritical point, showing that nonconformal infrared scaling can select not only the critical scale but also the spatial symmetry of the preferred ordered phase. Entanglement anisotropy follows the squared vector order and therefore jumps to zero when the dark-scalar phase takes over. The result provides a controlled dark-Higgs-motivated mechanism for ordered-to-ordered symmetry conversion at leading probe order.
ER  -