Krylov complexity for \(\eta \) deformed superstring backgrounds

IF 4.9 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2026-08-26 DOI:10.1140/epjc/s10052-026-16265-z

Dibakar Roychowdhury

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Abstract

We compute the holographic Krylov complexity for a class of strongly coupled Quantum Field Theory (QFT) (with broken scale invariance) in a top down approach, where the dual gravitational counterpart corresponds to \(\eta \) deformed superstring solutions in a type IIB set up. The full 10d solution contains the anti-de Sitter (AdS) as the subspace, along with the dilaton and the background Ramond–Ramond (RR) and Neveu–Schwarz (NS) fluxes. The Krylov complexity in the dual operator picture is obtained by computing the proper momentum of the massive particle along its geodesic in the bulk spacetime. We explore the effects of \(\eta \) deformation on the bulk momentum of the particle, which in turn affects the rate of growth of complexity in the dual QFTs. Our results boil down into the undeformed case in the appropriate limit of the Yang–Baxter (YB) parameter. We also comment on the complexity of the dual quantum mechanical model with broken scale invariance.

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\(\eta \)变形超弦背景的Krylov复杂度

我们用自顶向下的方法计算了一类强耦合量子场论（QFT）（具有破尺度不变性）的全息Krylov复杂度，其中对偶引力对应于IIB型设置中的\(\eta \)变形超弦解。完整的10d解包含反德西特（AdS）作为子空间，以及膨胀和背景Ramond-Ramond （RR）和Neveu-Schwarz （NS）通量。对偶算子图中的克雷洛夫复杂度是通过计算大质量粒子在体时空中沿测地线的固有动量得到的。我们探讨了\(\eta \)变形对粒子体动量的影响，这反过来又影响了双量子场复杂性的增长速度。我们的结果可以归结为在适当的Yang-Baxter （YB）参数限制下的未变形情况。我们还评论了具有破尺度不变性的双量子力学模型的复杂性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

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