More on Schrödinger holography

Golubtsova, Anastasia A.; Dimov, H.; Iliev, I.; Radomirov, M.; Rashkov, R. C.; Vetsov, T.

doi:10.48550/arxiv.2004.13802

Cited by 5 publications

(5 citation statements)

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“…2 Giant magnon-like solutions with a different dispersion relation were found in [18], while giant magnons and spiky strings on Sch5 × T 1,1 and the corresponding dispersion relations were found in [19].…”

Section: Introductionmentioning

confidence: 99%

Giant Gravitons in the Schrodinger holography

Georgiou,

Zoakos

2020

Preprint

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We construct and study new giant graviton configurations in the framework of the non-supersymmetric Schrödinger holography. We confirm in the original Schrödinger spacetime, the picture discovered previously in the pp-wave limit of the geometry, namely that it is the giant graviton that becomes the energetically favored stable configuration compared to the point graviton one. Furthermore, there is a critical value of the deformation above which the point graviton disappears from the spectrum. The former fact leads also to the possibility of tunnelling from the point graviton to the giant graviton configuration. We calculate, explicitly, the instanton solution and its corresponding action which gives a measure of the tunnelling probability. Finally, we evaluate holographically the three-point correlation function of two giant gravitons and one dilaton mode as a function of the Schrödinger invariant.

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Section: Introductionmentioning

confidence: 99%

Giant Gravitons in the Schrodinger holography

Georgiou,

Zoakos

2020

Preprint

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“…For these reasons, and the fact that currently very little is known for dipole theories, we are motivated to investigate the properties of such holographic models on both sides of the correspondence. Further studies of non-relativistic holography in Shrödinger spacetime can be found in [20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Holographic Fisher information metric in Schrödinger spacetime

et al. 2021

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In this paper we study the Fisher Information Metric on the space of the coupling constants on both sides of the duality between non-relativistic dipole field theories and string theory in Schrödinger spacetime. We consider the following setup. In the gauge theory side, one can deform a given conformal field theory by a proper scalar operator and compute the Quantum Information Metric via the two-point correlation function between two such operators. On the string side, the deformation corresponds to a scalar field probing the background. In the large N limit of the theory the probing can be done without backreaction on the original spacetime, thus one can construct a perturbative scheme for the calculation of the dual Holographic Fisher Information Metric as shown by [1]. In particular, we prove that the Holographic Information Metric reduces to its dual quantum counterpart on the boundary of the Schrödinger background, thus showing exact match between the two quantities on both sides of the correspondence.1 We will refer to t as the real time and τ = −it as the Wick-rotated time.

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“…A semiclassical quantization has been also considered in [28] and very recently finite corrections has been obtained in [29]. More aspects of Schrödinger holography can be found for instance in [?, [30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Pulsating strings in $Schr_5 \times T^{1,1}$ background

Golubtsova,

Dimov,

Iliev

et al. 2020

Preprint

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The quest for extension of holographic correspondence to non-relativistic sectors naturally includes Schrödinger backgrounds and their field theory duals. In this paper we study the holography by probing the correspondence with pulsating strings. The case we consider is pulsating strings in five-dimensional Schrödinger space times five-torus T 1,1 , which has as field theory dual a dipole CFT. First we find particular pulsating string solutions and then semi-classically quantize the theory. We obtain the wave function of the problem and thoroughly study the corrections to the energy, which by duality are supposed to give anomalous dimensions of certain operators in the dipole CFT.

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More on Schrödinger holography

Cited by 5 publications

References 0 publications

Giant Gravitons in the Schrodinger holography

Giant Gravitons in the Schrodinger holography

Holographic Fisher information metric in Schrödinger spacetime

Pulsating strings in $Schr_5 \times T^{1,1}$ background

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