# Holographic complexity and noncommutative gauge theory

@article{Couch2017HolographicCA, title={Holographic complexity and noncommutative gauge theory}, author={Josiah D. Couch and Stefan Eccles and Willy Fischler and Ming Xiao}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-27} }

A bstractWe study the holographic complexity of noncommutative field theories. The four-dimensional N=4$$ \mathcal{N}=4 $$ noncommutative super Yang-Mills theory with Moyal algebra along two of the spatial directions has a well known holographic dual as a type IIB supergravity theory with a stack of D3 branes and non-trivial NS-NS B fields. We start from this example and find that the late time holographic complexity growth rate, based on the “complexity equals action” conjecture, experiences…

## 70 Citations

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- PhysicsPhysical Review D
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We employ the "complexity equals action" conjecture to investigate the action growth rate for charged and neutral AdS black branes of a holographic toy model consisting of Einstein-Maxwell theory in…

### Chaos and entanglement spreading in a non-commutative gauge theory

- PhysicsJournal of High Energy Physics
- 2018

A bstractHolographic theories with classical gravity duals are maximally chaotic: they saturate a set of bounds on the spread of quantum information. In this paper we question whether non-locality…

### Switchback effect of holographic complexity in multiple-horizon black holes

- Physics
- 2020

In this paper, we use the “complexity equals action” (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite N and finite coupling effects. In the…

### Switchback effect of holographic complexity in multiple-horizon black holes

- PhysicsThe European Physical Journal C
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In this paper, we use the “complexity equals action” (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite N and finite coupling effects. In the…

### Holographic complexity of Einstein-Maxwell-Dilaton gravity

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe study the holographic complexity of Einstein-Maxwell-Dilaton gravity using the recently proposed “complexity = volume” and “complexity = action” dualities. The model we consider has a…

### Holographic and QFT complexity with angular momentum

- PhysicsJournal of High Energy Physics
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Abstract
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- 2017

A bstractQuantum complexity of a thermofield double state in a strongly coupled quantum field theory has been argued to be holographically related to the action evaluated on the Wheeler-DeWitt patch.…

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- MathematicsThe European Physical Journal C
- 2020

In this paper, we use the “complexity equals action” (CA) conjecture to evaluate the holographic complexity in some multiple-horzion black holes for the gravitational theory coupled to a first-order…

### Holographic complexity of the electromagnetic black hole

- Materials ScienceThe European Physical Journal C
- 2020

In this paper, we use the “complexity equals action” (CA) conjecture to evaluate the holographic complexity in some multiple-horzion black holes for the gravitational theory coupled to a first-order…

### On the role of counterterms in holographic complexity

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We consider the Complexity=Action (CA) proposal in Einstein gravity and investigate new counterterms which are able to remove all the UV divergences of holographic complexity. We first…

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