Holographic complexity and noncommutative gauge theory
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24 pages
Published in:
- JHEP 03 (2018) 108
- Published: Mar 19, 2018
e-Print:
- 1710.07833 [hep-th]
Report number:
- UTTG-09-17,
- UTTG--09--17
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Abstract: (Springer)
We study the holographic complexity of noncommutative field theories. The four-dimensional 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 an enhancement when the non-commutativity is turned on. This enhancement saturates a new limit which is exactly 1/4 larger than the commutative value. We then attempt to give a quantum mechanics explanation of the enhancement. Finite time behavior of the complexity growth rate is also studied. Inspired by the non-trivial result, we move on to more general setup in string theory where we have a stack of Dp branes and also turn on the B field. Multiple noncommutative directions are considered in higher p cases.- AdS-CFT Correspondence
- Gauge-gravity correspondence
- gauge field theory: noncommutative
- duality: holography
- algebra: Moyal
- enhancement
- quantum mechanics
- supersymmetry: 4
- string model
- supergravity: Type IIB
References(33)
Figures(6)