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arXiv · 2607.09343

$T\bar{T}$ deformation and multiple-flavor Lorentzian threads

Mojtaba Shahbazi·Mehdi Sadeghi
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Abstract

This work is motivated by the proposed relationship among finite cut-off holography and generalized $T\bar T$ deformations, and examines holographic complexity within the framework of the "complexity = anything" proposal. Employing a Fefferman-Graham expansion near the finite cut-off surface, the deformation-induced correction to generalized complexity is derived and shown to allow a systematic expansion in terms of generalized Willmore-type functionals. The resulting formulation broadens earlier findings for the complexity-volume proposal to encompass arbitrary geometric complexity measures. Furthermore, the structure of the correction allows a natural interpretation as multiple-flavor Lorentzian threads, where distinct thread sectors correspond to different curvature invariants in the complexity functional. These results show a geometric connection among finite cut-off holography, generalized complexity, and the emergence of non-local computational structures in holographic quantum field theories.

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Mojtaba Shahbazi, Mehdi Sadeghi. 2026-07-10. $T\bar{T}$ deformation and multiple-flavor Lorentzian threads. https://arxiv.org/abs/2607.09343

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