Paper Code 

Title 
Time dependence of holographic complexity in GaussBonnet gravity 
Authors 
An, YuSen; Cai, RongGen; Peng, Yuxuan 
Corresponding Author 
An, YS (reprint author) 
Year 
2018 
Title of Journal 

Volume 
98 
Number 
10 
Page 
106013 
Abstract 
We study the effect of the GaussBonnet term on the complexity growth rate of dual field theory using the "complexityvolume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth rate of the GaussBonnet black holes with horizons with zero curvature (k = 0), positive curvature (k = 1) and negative curvature (k = 1), respectively. For the k = 0 and k = 1 cases, we find that the GaussBonnet term suppresses the growth rate as expected, while in the k = 1 case the effect of the GaussBonnet term may be opposite to what is expected. The reason for it is briefly discussed, and the comparison of our results to the result obtained by using the "complexityaction" (CA) conjecture is also presented. We also briefly investigate two proposals applying some generalized volume functionals dual to the complexity in higher curvature gravity theories, and find their behaviors are different for k = 0 at late times. 
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We study the effect of the GaussBonnet term on the complexity growth rate of dual field theory using the "complexityvolume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth rate of the GaussBonnet black holes with horizons with zero curvature (k = 0), positive curvature (k = 1) and negative curvature (k = 1), respectively. For the k = 0 and k = 1 cases, we find that the GaussBonnet term suppresses the growth rate as expected, while in the k = 1 case the effect of the GaussBonnet term may be opposite to what is expected. The reason for it is briefly discussed, and the comparison of our results to the result obtained by using the "complexityaction" (CA) conjecture is also presented. We also briefly investigate two proposals applying some generalized volume functionals dual to the complexity in higher curvature gravity theories, and find their behaviors are different for k = 0 at late times. 
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