Erratum to: AdS2 holographic dictionary

Cvetič, Mirjam; Papadimitriou, Ioannis

doi:10.1007/jhep01(2017)120

Cited by 59 publications

(27 citation statements)

References 6 publications

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“…In other words, extremizing 1/G 2 does not necessarily correspond to finding an extremum for c sugra . This result generalizes the relation derived in [46], where the AdS 2 is considered as arising directly in Type IIB by writing AdS 3 as the total space of a circle fibration. The effective Newton constants are then related by dimensional reduction on this circle…”

Section: Geometrysupporting

confidence: 82%

$\mathcal{I}$/$c$-extremization in M/F-duality

et al. 2020

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We study the holographic dual to cc-extremization for 2d (0,2)(0,2) superconformal field theories (SCFTs) that have an AdS_33 dual realized in Type IIB with varying axio-dilaton, i.e. F-theory. M/F-duality implies that such AdS_33 solutions can be mapped to AdS_22 solutions in M-theory, which are holographically dual to superconformal quantum mechanics (SCQM), obtained by dimensional reduction of the 2d SCFTs. We analyze the corresponding map between holographic cc-extremization in F-theory and \mathcal{I}ℐ-extremization in M-theory, where in general the latter receives corrections relative to the F-theory result.

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Section: Geometrysupporting

confidence: 82%

$\mathcal{I}$/$c$-extremization in M/F-duality

et al. 2020

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“…The holographic dictionary for the Jackiw-Teitelboim model has been established in [1][2][3][4] and a thorough treatment of holographic renormalization can be found in [30,31] (see also [32]). In the general situation, it is required to impose an appropriate self-consistent cutoff so that the dual quantum theory lives on an appropriate trajectory z ¼ ϵfðtÞ which should be determined from the equations of motion themselves.…”

Section: B Holographic Interpretationmentioning

confidence: 99%

“…The dotted terms vanish in the limit ϵ → 0. The term proportional to 1=ϵ 2 and the other singular terms (e.g., one proportional to ϵ −3=2 which occurs in the presence of a minimally coupled free bulk scalar field with m 2 ¼ 5=16) can be subtracted away by appropriate local counterterms (which are built out of the matter sources and their time derivatives) to render the limit ϵ → 0 finite [30,31]. We emphasize that new singular terms at subleading orders in ϵ can appear in the presence of bulk matter.…”

Section: B Holographic Interpretationmentioning

confidence: 99%

Time-dependent NAdS2 holography with applications

2020

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We develop a method for obtaining exact time-dependent solutions in Jackiw-Teitelboim gravity coupled to nonconformal matter and study consequences for NAdS 2 holography. We study holographic quenches in which we find that the black hole mass increases. A semiholographic model composed of an infrared NAdS 2 holographic sector representing the mutual strong interactions of trapped impurities confined at a spatial point is proposed. The holographic sector couples to the position of a displaced impurity acting as a self-consistent boundary source. This effective 0 þ 1-dimensional description has a total conserved energy. Irrespective of the initial velocity of the particle, the black hole mass initially increases, but after the horizon runs away to infinity in the physical patch, the mass vanishes in the long run. The total energy is completely transferred to the kinetic energy or the self-consistent confining potential energy of the impurity. For initial velocities below a critical value determined by the mutual coupling, the black hole mass changes sign in finite time. Above this critical velocity, the initial condition of the particle can be retrieved from the SLð2; RÞ invariant exponent that governs the exponential growth of the bulk gravitational SLð2; RÞ charges at late time.

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“…The running dilaton in the UV means that the two-dimensional description breaks down and one must uplift to higher dimensions. 3 An example of such a flow is discussed in section 2.3 of [52], in which case, the UV fixed point is the BTZ black hole in AdS 3 .…”

Section: Comments On Holographic C-theoremmentioning

confidence: 99%

Holographic renormalization group flows in two-dimensional gravity and AdS black holes

Suh

2020

J. High Energ. Phys.

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We look into the AdS black holes from two-dimensional gravity perspective. In this work, we extend the previous results of holographic renormalization group flows to dimensions two. By introducing a superpotential, we derive the flow equations in twodimensional dilaton gravity. We also find a quantity which monotonically decreases along flows and give some comments on holographic c-theorem. As examples, we show that recently studied supersymmetric AdS black hole solutions generically dimensionally reduce to two-dimensional dilaton gravity, and obtain the flow equations for black hole solutions.

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Erratum to: AdS2 holographic dictionary

Cited by 59 publications

References 6 publications

$\mathcal{I}$/$c$-extremization in M/F-duality

$\mathcal{I}$/$c$-extremization in M/F-duality

Time-dependent NAdS2 holography with applications

Holographic renormalization group flows in two-dimensional gravity and AdS black holes

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