Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory

Abstract

We analyze the behavior of holographic subregion complexity (HSC) and holographic fidelity susceptibility (HFS) in noncommutative Yang--Mills theory. The emergence of a minimum length scale, dictated by the degree of noncommutativity, induces a behavioral transition in the HSC and establishes a lower bound. In the large noncommutativity regime, the qualitative features of the complexity deviate significantly from the commutative case. The HFS is shown to provide an effective measure of the degree of noncommutativity. Although the HSC generally satisfies strong subadditivity, this property fails abruptly when the subregion size approaches the minimum length scale. At finite temperature, the long-range behavior of the HSC is modified, and its lower bound scales positively with temperature. Furthermore, temperature enhances the sensitivity of the fidelity susceptibility to the degree of noncommutativity. Within the AdS soliton background, a competition between connected and disconnected configurations arises in the HSC, signaling a phase-transition-like behavior. Finally, the compactification scale is found to diminish the sensitivity of the HFS to the degree of noncommutativity.

arXiv comment33 pages, 14 figures, v2: published version with minor corrections

References in corpus (49)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• String Theory and Noncommutative Geometry
• Aspects of Holographic Entanglement Entropy
• Low energy hadron physics in holographic QCD
• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Noncommutative Perturbative Dynamics
• Generalized gravitational entropy
• Complexity Equals Action
• Holographic Entanglement Entropy: An Overview
• Complexity and Shock Wave Geometries
• More on a holographic dual of QCD
• Complexity, action, and black holes
• D-branes and the Noncommutative Torus
• Fidelity approach to quantum phase transitions
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• Entanglement as a Probe of Confinement
• Large N Limit of Non-Commutative Gauge Theories
• A holographic proof of the strong subadditivity of entanglement entropy
• The Second Law of Quantum Complexity
• Noncommutative Geometry From Strings and Branes
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Holographic Complexity
• AdS Bubbles, Entropy and Closed String Tachyons
• Gravity Dual of Quantum Information Metric
• Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
• Supergravity and Large N Noncommutative Field Theories
• On Volumes of Subregions in Holography and Complexity
• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• Confinement, Phase Transitions and non-Locality in the Entanglement Entropy
• Holographic complexity and non-commutative gauge theory
• Volume Law for the Entanglement Entropy in Non-local QFTs
• Holographic entanglement entropy probes (non)locality
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Holography and Noncommutative Yang-Mills
• Holographic entanglement entropy in nonlocal theories
• Holographic Fidelity Susceptibility
• Holographic Entanglement in a Noncommutative Gauge Theory
• On subregion holographic complexity and renormalization group flows
• On holographic entanglement entropy of non-local field theories
• Complexity, scaling, and a phase transition
• D1/D5 system and Wilson Loops in (Non-)commutative Gauge Theories
• Chiral Symmetry Restoration in Holographic Noncommutative QCD
• Glueball mass spectra for supergravity duals of noncommutative gauge theories
• The spectrum of low spin mesons at finite temperature in holographic noncommutative QCD
• Holographic Entanglement Entropy, Complexity, Fidelity Susceptibility and Hierarchical UV/IR Mixing Problem in $AdS_2/\mbox{open strings}$
• Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory
• Baryon number current in holographic noncommutative QCD
• Subsystem Complexity and Measurements in Holography