Erlangen 2026 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 6: Holography: AdS/CFT

MP 6.3: Vortrag

Mittwoch, 18. März 2026, 16:45–17:00, KH 02.013

Deformations of the chiral SYK chain and a holographic BKT phase transition — Dmitry Bagrets², Nele Callebaut¹, Konstantin Weisenberger¹, and •Sarina Michael¹ — ¹Universität zu Köln, Zülpicher Straße 77, 50937 Köln — ²Forschungszentrum Jülich, Wilhelm-Johnen-Straße, 52428 Jülich

It was found recently (Altland et al. arXiv:2502.19370) that there is a holographic correspondence between chiral SYK chains and rotating BTZ black holes, connecting Majorana edge dynamics to their gravitational dual in one dimension higher. In the infrared, both sides are governed by the Alekseev-Shatashvili (AS) action, a generalization of the Schwarzian theory. We consider a deformation of this description by relevant bilocal operators and analyze it following the Wilsonian RG scheme which leads a phase diagram with a critical line separating an SYK-stable phase from a deformation dominated one, reminiscient of a BKT transition. A microscopic origin of the deformations is provided by interedge interactions between counterpropagating Majoranas. On the gravity side, they can be interpreted in terms of matter fields propagating on a BTZ background. The transition itself corresponds to an instability towards condensation for bosons or chiral symmetry breaking for fermions in the dual channel.

Keywords: Holography; AdS/CFT correspondence; SYK Model; BTZ Black Holes; Quantum Field Theory