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.

14 pages, 1 figure; to appear in PRD

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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