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arXiv · 2409.04630

Phases and Phase transitions of U(1)$\times$SU(2) symmetric holographic matter

Matti Järvinen·Elias Kiritsis·Francesco Nitti·Edwan Préau
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Abstract

The phase diagram and symmetry breaking patterns of a holographic CFT with U(1)$\times$SU(2) symmetry are analyzed using the simplest holographic action, namely Einstein-Yang-Mills (YM) theory with a negative cosmological constant. This is relevant for both condensed matter and QCD applications. With a U(1) and an "isospin" chemical potential turned on, we determine all possible symmetry breaking patterns, which are associated to the condensation of spin-one order parameters. The possible IR asymptotics of the Einstein-YM solutions are derived analytically, both for 2+1 and 3+1 boundary dimensions. The competing solutions are then computed numerically, both at zero and non-zero temperature, from which the full three-dimensional phase diagram is determined. We find a surface of second order phase transitions that separate uncondensed and condensed phases. In some regions with a large fraction of charged to neutral degrees of freedom, the phase transition becomes first order.

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Matti Järvinen, Elias Kiritsis, Francesco Nitti, Edwan Préau. 2024-09-06. Phases and Phase transitions of U(1)$\times$SU(2) symmetric holographic matter. https://arxiv.org/abs/2409.04630

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