Holographic complexity of LST and single trace $$ T\overline{T} $$

Chakraborty, Soumangsu; Katoch, Gaurav; Roy, Shubho

doi:10.1007/jhep03(2021)275

Cited by 12 publications

(5 citation statements)

References 82 publications

(141 reference statements)

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“…However, the finite pieces of the volume and action complexities are distinct (even after taking into account the mismatch of the leading quadratic divergent pieces). This, however, is not unexpected -the mismatch between the subleading terms in the volume and action complexity has been well documented in the literature [2,38,46]. Compared to the action-complexity result, where the finite piece was negative definite, here we obtain a finite piece that shows an change on sign from the negative to the positive values across α = 2/3.…”

Section: Volume Complexity Of Timelike Kasner-adssupporting

confidence: 71%

Quantum complexity and bulk timelike singularities

Katoch¹,

Ren²,

Roy³

2023

Preprint

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Quantum complexity has already shed light on CFT states dual to bulk geometries containing spacelike singularities [1][2][3]. In this work, we turn our attention to the quantum complexity of CFT/quantum gravity states which are dual to bulk geometries containing a naked timelike singularity. The appearance of naked timelike singularities in semiclassical limit is allowed in string theory, particularly in the context of holography, so long as they satisfy the Gubser criterion [4, 5] -those naked timelike singularities which arise in the extremal limits of geometries containing cloaked singularities are admissible. In this work, we formulate an analogous criterion for the appearance of naked timelike singularities based on holographic complexity. We study three specific cases of naked timelike singularities, namely the negative mass Schwarzschild-AdS spacetime, the timelike Kasner-AdS [6] and Einstein-dilaton system [7]. The first two cases are outright ruled out by the Gubser criterion while the third case is more subtle -according to the Gubser criterion the singularity switches from forbidden to admissible as the parameter α is dialed in the range [0, 1] across the transition point at α = 1/ √ 3. We probe all three geometries using two holographic complexity prescriptions, namely CA and CV. We propose a simple criterion that if the holographic complexity of a geometry with naked timelike singularities is less than that of empty AdS, then that singularity cannot arise in the semiclassical limit of a UV-complete theory of quantum gravity. Our study strongly suggests that action complexity (CA) is a sensitive tool to investigate timelike singularities, being in sync with Gubser criterion in all cases. On the other hand volume complexity (CV) turns out to be not a reliable tool to probe timelike singularities.

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Section: Volume Complexity Of Timelike Kasner-adssupporting

confidence: 71%

Quantum complexity and bulk timelike singularities

Katoch¹,

Ren²,

Roy³

2023

Preprint

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“…Our proposal is that the complexity of the circuit that maps between these ground states with different finite Wilsonian cutoffs is given by the gravitational action on M . work combining holographic TT and complexity, see [18][19][20] (see also [21] for a related development). We propose that the number of operations, the complexity, is given by the gravitational action itself, evaluated with suitable boundary condition on the boundary of the spacetime region.…”

Section: Jhep04(2021)207mentioning

confidence: 99%

Spacetime as a quantum circuit

Chandra

Flory

Heller

et al. 2021

J. High Energ. Phys.

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We propose that finite cutoff regions of holographic spacetimes represent quantum circuits that map between boundary states at different times and Wilsonian cutoffs, and that the complexity of those quantum circuits is given by the gravitational action. The optimal circuit minimizes the gravitational action. This is a generalization of both the “complexity equals volume” conjecture to unoptimized circuits, and path integral optimization to finite cutoffs. Using tools from holographic $$ T\overline{T} $$ T T ¯ , we find that surfaces of constant scalar curvature play a special role in optimizing quantum circuits. We also find an interesting connection of our proposal to kinematic space, and discuss possible circuit representations and gate counting interpretations of the gravitational action.

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“…Another characteristics of little string theory is the existence of Hagedorn density of states at temperature T h , known as the Hagedorn temperature. Here the inverse of the Hagedorn temperature β h serves as the nonlocal scale of the theory [44]. The nonlocal effects are manifest at length scale less than the inverse Hagedorn temperature β h while above β h one recovers the usual behavior as observed for the local theory.…”

Section: Jhep08(2022)041mentioning

confidence: 81%

Quantum information scrambling and quantum chaos in little string theory

Mahish

Sil

2022

J. High Energ. Phys.

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In the current manuscript we perform a systematic investigation about the effects of nonlocal interaction to the spread of quantum information in many body system. In particular, we have studied how nonlocality influence the existing bound on the growth rate of the commutator involving two local operators, the butterfly velocity. For this purpose, we consider the nonlocal theory on the worldvolume of N ≫ 1, NS5 branes arising in the limit of vanishing string coupling, the ‘little string theory’. A direct evidence of nonlocality can be realized from the ‘volume law’ behavior for the most dominant part of holographic entanglement entropy. We obtain the butterfly velocity by studying the dynamics of the near horizon geometry backreacted by a high energy quanta in the form of a shockwave resulting from an early perturbation on the corresponding thermofield double state. We observe that the butterfly velocity increases with the nonlocal scale of little string theory, the inverse Hagedorn temperature βh, indicating a faster rate of information spread due to the nonlocal interaction. The same conclusion follows as the disruption of two sided mutual information is observed to occur at a faster rate for higher values of βh. Finally, we realize a direct connection between the parameters of quantum chaos and the quasinormal modes for collective excitations through the phenomenon of ‘pole skipping’.

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Holographic complexity of LST and single trace $$ T\overline{T} $$

Cited by 12 publications

References 82 publications

Quantum complexity and bulk timelike singularities

Quantum complexity and bulk timelike singularities

Spacetime as a quantum circuit

Quantum information scrambling and quantum chaos in little string theory

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