On complexity growth in massive gravity theories, the effects of chirality and more

Abstract

To study the effect of parity-violation on the rate of complexity growth, by using "Complexity=Action" conjecture, we find the complexity growth rates in different solutions of the chiral theory of Topologically Massive Gravity (TMG) and parity-preserving theory of New Massive Gravity (NMG). Using the results, one can see that decreasing the parameter $\mu$, which increases the effect of Chern-Simons term and increases chirality, would increase the rate of growth of complexity. Also one can observe a stronger correlation between complexity growth and temperature rather than complexity growth and entropy. At the end we comment on the possible meaning of the deforming term of chiral Liouville action for the rate of complexity growth of warped CFTs in the Tensor Network Renormalization picture.

arXiv comment33 pages, 3 figures

References in corpus (50)

• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Ultimate physical limits to computation
• The maximum speed of dynamical evolution
• Complexity Equals Action
• Complexity, action, and black holes
• Circuit complexity in quantum field theory
• Towards Complexity for Quantum Field Theory States
• Warped AdS_3 Black Holes
• Comments on Holographic Complexity
• Holographic Complexity
• Instability in cosmological topologically massive gravity at the chiral point
• Black hole mass and angular momentum in topologically massive gravity
• On Black Holes in Massive Gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Bit threads and holographic entanglement
• Quantum Complexity and Negative Curvature
• Einstein's Equations from Varying Complexity
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• On Complexity for Higher Derivative Gravities
• Entanglement Entropy in Warped Conformal Field Theories
• Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game -
• Three-dimensional Chern-Simons black holes
• Black holes with a null Killing vector in three-dimensional massive gravity
• Schwinger Effect and Entanglement Entropy in Confining Geometries
• Quasi-normal modes of warped black holes and warped AdS/CFT correspondence
• Hairy Black Holes in Massive Gravity: Thermodynamics and Phase Structure
• Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity
• Entanglement density and gravitational thermodynamics
• A geometric approach to quantum circuit lower bounds
• AdS Black Hole Solutions in the Extended New Massive Gravity
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• On Butterfly effect in Higher Derivative Gravities
• Background-independent charges in Topologically Massive Gravity
• Chiral Liouville Gravity
• Charged Black Holes in New Massive Gravity
• Holographic Fidelity Susceptibility
• Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
• Revisiting Conserved Charges in Higher Curvature Gravitational Theories
• Anomalies of the Entanglement Entropy in Chiral Theories
• On subregion holographic complexity and renormalization group flows
• Entanglement Entropy & Anomaly Inflow
• Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
• Stability of warped AdS3 black holes in Topologically Massive Gravity under scalar perturbations
• Statistical entropy of a BTZ black hole in topologically massive gravity
• Dynamical Black Holes in 2+1 Dimensions
• Entropy of black holes in topologically massive gravity
• Formation of Black Holes in Topologically Massive Gravity
• Topologically massive gravity and black holes in three dimensions
• The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2
• Beyond AdS Space-times, New Holographic Correspondences and Applications

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• Subsystem Complexity and Holography
• Time Evolution of Complexity: A Critique of Three Methods
• Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
• Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
• A Complexity for Quantum Field Theory States and Application in Thermofield Double States
• Subregion Action and Complexity
• Complexity change under conformal transformations in AdS${}_3$/CFT${}_2$
• Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
• The connection between holographic entanglement and complexity of purification
• Complexity and action for warped AdS black holes
• Thoughts on Holographic Complexity and its Basis-dependence
• On Complexity Growth in Minimal Massive 3D Gravity
• Circuit complexity for free Fermion with a mass quench
• Complexity growth rate during phase transitions
• Complexity and phase transitions in a holographic QCD model
• Holographic Subregion Complexity in Einstein-Born-Infeld theory
• Complexity growth of rotating black holes with a probe string
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Complexity of warped conformal field theory
• Holographic complexity growth in a FLRW universe
• Time dependence of complexity for Lovelock black holes
• Entanglement wedge reconstruction and correlation measures in mixed states: modular flows versus quantum recovery channels
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Subregion complexity in holographic thermalization with dS boundary
• Holography of information in massive gravity using Dirac brackets
• Correlations of mixed systems in confining backgrounds
• Complexity Growth Following Multiple Shocks
• Subregion complexity and confinement-deconfinement transition in a holographic QCD model
• On the Complexity of a $2+1$--dimensional Holographic Superconductor
• Action complexity of charged black holes with higher derivative interactions
• Complexity growth for topological black holes by holographic method
• Weighting gates in circuit complexity and holography
• Encoded information of mixed correlations: the views from one dimension higher
• Complexity for superconformal primaries from BCH techniques
• Critical distance and Crofton form in confining geometries
• Complexity Growth of Dyonic Black holes with Quartic Field Strength Corrections
• D5-brane on topological black holes
• Computational Complexity in Analogue Gravity
• Inverse anisotropic catalysis and complexity
• Developments in non-relativistic field theory and complexity