Complexity of Hyperscaling Violating Theories at Finite Cutoff

Abstract

Using the complexity equals action proposal we study holographic complexity for hyperscaling violating theories in the presence of a finite cutoff that, in turns, requires to obtain all counter terms needed to have finite boundary energy momentum tensor. These terms could give non-trivial contributions to the complexity. We observe that having a finite UV cutoff would enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff; moreover, certain counter term should be defined on the cutoff behind the horizon too.

arXiv comment14 pages, 1 figure; to appear in PRD

References in corpus (27)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Lecture Notes on Holographic Renormalization
• Ultimate physical limits to computation
• Complexity Equals Action
• Complexity and Shock Wave Geometries
• Complexity, action, and black holes
• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Gravitational action with null boundaries
• On the Time Dependence of Holographic Complexity
• Generalized Holographic Quantum Criticality at Finite Density
• Holography at finite cutoff with a $T^2$ deformation
• A Boundary Term for the Gravitational Action with Null Boundaries
• Charged Black Branes with Hyperscaling Violating Factor
• Divergences in Holographic Complexity
• Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
• Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
• Holographic Complexity Equals Which Action?
• The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity
• Sphere partition functions and cut-off AdS
• Moving the CFT into the bulk with $T\bar{T}$
• TT deformations in general dimensions
• Variational Principle for Gravity with Null and Non-null boundaries: A Unified Boundary Counter-term
• Complexity and Behind the Horizon Cut Off
• On Complexity of Jackiw-Teitelboim Gravity
• Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes
• $T\overline{T}$ deformations of non-Lorentz invariant field theories
• More on Complexity in Finite Cut Off Geometry

Cited by in corpus (11)

• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Aspects of Holographic Entanglement Entropy for $T\bar{T}$-deformed CFTs
• Holographic complexity for black branes with momentum relaxation
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Entanglement Wedge Cross Section Growth During Thermalization
• Mixed state information theoretic measures in boosted black brane
• Holographic Complexity of Subregions in the Hyperscaling Violating Theories
• Holographic n-partite Information in Hyperscaling Violating Geometry
• Holographic complexity for nonlinearly charged Lifshitz black holes