Asymptotic fragility, near AdS2 holography and 


                                    
T

T
¯



$$ T\overline{T} $$

Dubovsky, Sergei; Gorbenko, V.; Mirbabayi, Mehrdad

doi:10.1007/jhep09(2017)136

Cited by 214 publications

(229 citation statements)

References 46 publications

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“…Non-locality. The deformed QFT becomes non-local, which can be seen classically by reformulating the TT deformation as coupling to various 2d gravity theories including the Jackiw-Teitelboim type gravity [7,8], massive ghost-free gravity [9] and random geometry [10,11]. At the quantum level it can be seen from the fact that the asymptotic density of states exhibit a Hagedorn behaviour instead of the usual Cardy growth [12,13,14].…”

Section: Introductionmentioning

confidence: 99%

$$ T\overline{T} $$-deformation and long range spin chains

Pozsgay

Jiang

Takács

2020

J. High Energ. Phys.

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We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the TT -deformation of 1+1 dimensional integrable quantum field theory and related solvable irrelevant deformations proposed recently. The other class is a specific type of long range integrable deformation of quantum spin chains introduced a decade ago, in the context of N = 4 super-Yang-Mills theory. We show that the detailed structures of the two deformations are formally identical and therefore share many features. Both deformations preserve integrability and lead to non-local deformed theories, resulting in a change of the corresponding factorized S-matrices. We also prove a factorisation formula for the expectation value of the operators which trigger the deformation on the lattice; similar results in quantum field theory play an essential role in the solvability of such deformations. We point out that the long range deformation is a natural counterpart of the TT -deformation for integrable spin chains, and argue that this observation leads to interesting new avenues to explore.

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Section: Introductionmentioning

confidence: 99%

$$ T\overline{T} $$-deformation and long range spin chains

Pozsgay

Jiang

Takács

2020

J. High Energ. Phys.

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“…4 This includes the TT deformation [31], but is not limited to that. It is interesting to note that gravitational dressing in two dimensions appears to reproduce the effect of the TT deformation analyzed using non-gravitational methods in [31] (see for example [32][33][34]). As noted in [35], the holographic dual of the TT deformation [36] requires further information about the interactions than is captured purely by [31].…”

Section: Jhep07(2018)050 2 Setupmentioning

confidence: 99%

“…13 These energy levels may be obtained from the TT deformation [31,32], potentially eliminating any direct reference to gravity, which would be interesting to pursue in the future.…”

Section: Jhep07(2018)050mentioning

confidence: 99%

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De Sitter holography and entanglement entropy

Dong

Silverstein

Torroba

2018

J. High Energ. Phys.

118

132

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We propose a new example of entanglement knitting spacetime together, satisfying a series of checks of the corresponding von Neumann and Renyi entropies. The conjectured dual of de Sitter in d + 1 dimensions involves two coupled CFT sectors constrained by residual d-dimensional gravity. In the d = 2 case, the gravitational constraints and the CFT spectrum are relatively tractable. We identify a finite portion of each CFT Hilbert space relevant for de Sitter. Its maximum energy level coincides with the transition to the universal Cardy behavior for theories with a large central charge and a sparse light spectrum, derived by Hartman, Keller, and Stoica. Significant interactions between the two CFTs, derived previously for other reasons, suggest a maximally mixed state upon tracing out one of the two sectors; we derive this by determining the holographic Renyi entropies. The resulting entanglement entropy matches the Gibbons-Hawking formula for de Sitter entropy, including the numerical coefficient. Finally, we interpret the Gibbons-Hawking horizon entropy in terms of the Ryu-Takayanagi entropy, and explore the time evolution of the entanglement entropy.

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“…As the deformation is irrelevant, the resulting theory is quite unusual from a Wilsonian point of view. These deformations seem related to gravity [17][18][19][20], random geometries [21], and string theory [8,[22][23][24][25][26][27] (see also [28,29] for earlier observations of the relation between strings and T T , and [30][31][32] for relations with holography).…”

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confidence: 99%

TT¯ Deformations and Integrable Spin Chains

2020

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We consider current-current deformations that generalise T T ones, and show that they may be also introduced for integrable spin chains. In analogy with the integrable QFT setup, we define the deformation as a modification of the S matrix in the Bethe equations. Using results by Bargheer, Beisert and Loebbert we show that the deforming operator is composite and constructed out of two currents on the lattice; its expectation value factorises like for T T . Such a deformation may be considered for any combination of charges that preserve the model's integrable structure.

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Asymptotic fragility, near AdS2 holography and T T ¯ $$ T\overline{T} $$

Cited by 214 publications

References 46 publications

$$ T\overline{T} $$-deformation and long range spin chains

$$ T\overline{T} $$-deformation and long range spin chains

De Sitter holography and entanglement entropy

TT¯ Deformations and Integrable Spin Chains

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