Field Theory Models for a Holographic Superconductor in Two Dimensions

Salvatore Santoro; Roberto Auzzi; Stefano Bolognesi

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arXiv · 2605.18628

Field Theory Models for a Holographic Superconductor in Two Dimensions

Salvatore Santoro·Roberto Auzzi·Stefano Bolognesi

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Abstract

We investigate field theory models of holographic superconductors in which the condensation of the order parameter is induced by a Robin boundary condition. Assuming large-$c$ factorization, we study the phase diagram of a two-dimensional CFT deformed by a relevant double-trace perturbation. Using modular invariance, we relate the high- and low-temperature phases, reproducing analytically the results for the zero-winding sector of the holographic model. Moreover, we match the near-critical behaviour of the condensate with an effective Ginzburg--Landau field theory description. Another important feature of the holographic superconductor is the presence of vortices that carry fractional magnetic flux. We investigate a field theory toy model with similar properties and interpret it as a fractional Little--Parks effect.

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Salvatore Santoro, Roberto Auzzi, Stefano Bolognesi. 2026-05-18. Field Theory Models for a Holographic Superconductor in Two Dimensions. https://arxiv.org/abs/2605.18628

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