Finite size effects in classical string solutions of the Schrödinger geometry

Zoakos, Dimitrios

doi:10.1007/jhep08(2020)091

Cited by 4 publications

(1 citation statement)

References 37 publications

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“…In [15] extended dyonic giant magnon and spike solutions were constructed and their dispersion relations were derived. 1 A complementary study with finite size corrections of those classical solutions was presented in [17]. 2 The existence of the aforementioned solutions is in complete agreement with the fact that the theories involved in the Schrödinger/dipole CFT duality remain integrable despite the presence of the deformation.…”

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confidence: 55%

Giant gravitons in the Schrödinger holography

Georgiou

Zoakos

2021

J. High Energ. Phys.

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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: 55%

Giant gravitons in the Schrödinger holography

Georgiou

Zoakos

2021

J. High Energ. Phys.

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Marginally deformed Schrödinger/dipole CFT correspondence

Georgiou

Ίτσιος

Zoakos

2022

J. High Energ. Phys.

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We construct and thoroughly study a new integrable example of the AdS/CFT correspondence with Schrödinger symmetry. On the gravity side, the supergravity solution depends on two parameters and is obtained by marginally deforming the internal space of the Schrödinger background through a series of TsT transformations. On the field theory side, we identify the dual field theory which also depends on two parameters.We find a point-like string solution and derive its dispersion relation. By using the Landau-Lifshitz coherent state Lagrangian, which originates from field theory, we reproduce the leading, in the deformation parameters, terms of the string theory prediction. This constitutes a non-trivial test of the correspondence. Then, we calculate the Wilson loop, describing the quark/anti-quark potential at strong coupling. It exhibits confining behaviour when the separation length is much less than the Schrödinger parameter. When the separation length is much greater than the Schrödinger parameter the behaviour is that of a conformal theory. Subsequently, we take the Penrose limit along a certain null geodesic of the constructed background and calculate the bosonic spectrum. Based on that spectrum, we make an educated guess for the exact, in the ’t Hooft coupling, dispersion relation of the magnon excitations in the original doubly deformed background. This provides us with an exact prediction for the dimensions of the dual field theory operators. This applies to operators of large length, for which finite size corrections are suppressed.

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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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Finite size effects in classical string solutions of the Schrödinger geometry

Cited by 4 publications

References 37 publications

Giant gravitons in the Schrödinger holography

Giant gravitons in the Schrödinger holography

Marginally deformed Schrödinger/dipole CFT correspondence

Holographic Fisher information metric in Schrödinger spacetime

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