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.

33 pages, 3 figures

References in corpus (14)

• Warped AdS_3 Black Holes
• Black hole mass and angular momentum in topologically massive gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Quantum Complexity and Negative Curvature
• Einstein's Equations from Varying Complexity
• Three-dimensional Chern-Simons black holes
• Hairy Black Holes in Massive Gravity: Thermodynamics and Phase Structure
• A geometric approach to quantum circuit lower bounds
• Entanglement density and gravitational thermodynamics
• On Butterfly effect in Higher Derivative Gravities
• Charged Black Holes in New Massive Gravity
• Hyperscaling Violating Solution in Coupled Dilaton-Squared Curvature Gravity
• Entropy of black holes in topologically massive gravity
• The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2

Cited by in corpus (7)

• On Complexity Growth in Minimal Massive 3D Gravity
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Holographic complexity growth in a FLRW universe
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Complexity for superconformal primaries from BCH techniques
• Complexity Growth of Dyonic Black holes with Quartic Field Strength Corrections
• Developments in non-relativistic field theory and complexity