Axion wormholes in AdS compactifications

Hertog, Thomas; Trigiante, Mario; Riet, Thomas Van

doi:10.1007/jhep06(2017)067

Cited by 29 publications

(57 citation statements)

References 29 publications

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“…Naively, one may then hope that wormholes do not arise in consistent theories of quantum gravity. But it turns out that the problem with the allowed β range can be overcome [38,61,65,96]. The underlying idea is simple: A wormhole can be charged under several axions, each with its own saxion with a certain β.…”

Section: Dilatonic Wormholesmentioning

confidence: 99%

Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology

Hebecker¹,

Mikhail²,

Soler³

2018

Front. Astron. Space Sci.

119

117

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The euclidean path integral remains, in spite of its familiar problems, an important approach to quantum gravity. One of its most striking and obscure features is the appearance of gravitational instantons or wormholes. These renormalize all terms in the Lagrangian and cause a number of puzzles or even deep inconsistencies, related to the possibility of nucleation of "baby universes". In this review, we revisit the early controversies surrounding these issues as well as some of the more recent discussions of the phenomenological relevance of gravitational instantons. In particular, wormholes are expected to break the shift symmetries of axions or Goldstone bosons non-perturbatively. This can be relevant to large-field inflation and connects to arguments made on the basis of the Weak Gravity or Swampland conjectures. It can also affect Goldstone bosons which are of physical interest in the context of the strong CP problem or as dark matter.

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Section: Dilatonic Wormholesmentioning

confidence: 99%

Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology

Hebecker¹,

Mikhail²,

Soler³

2018

Front. Astron. Space Sci.

119

117

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“…In theories with multiple axions and saxions (dilatons) the axion kinetic term is replaced by a sigma-model, G ij ∂φ i φ j , of indefinite signature. The instantons are then geodesic curves with −c equal to the geodesic velocity squared [15].…”

Section: Wormhole Solutionsmentioning

confidence: 99%

Euclidean Axion Wormholes Have Multiple Negative Modes

2019

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We show that Euclidean axion wormholes in theories of gravity coupled to a single axion have several independent inhomogeneous perturbations that lower the Euclidean action. Our analysis relies on a judiciously chosen gauge-invariant variable which makes the negative mode structure about axion wormholes transparent. Perturbations lowering the action are concentrated in the neck region and exist for wormholes in flat space and in AdS. Their presence means axion wormholes are not relevant saddle points of the functional integral in quantum gravity. This resolves the paradoxes associated with these solutions from the viewpoint of AdS/CFT.

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“…The extremal instantons can straightforwardly be extended to non-spherical solutions by replacing r by a general harmonic function that is not radially symmetric. We shall use the symbol τ to denote the harmonic 2 Here we point out that, in the background under consideration, the relation between κ 2 5 and κ 2 10 is the following: where we have used the property: Vol(S 5 /Z k ) = Vol(S 5 )/k = π 3 /k. function.…”

Section: )mentioning

confidence: 99%

“…, 5, only in this appendix, label the T 1,1 directions. Let us expand the 2forms B (2) and C (2) in the basis (ω I ) = (ω) of H 2 (T 1,1 , Z), 10 i.e.…”

Section: B Comparison With Type Iib On T 11mentioning

confidence: 99%

“…This fixes the Wick-rotation uniquely to [2]If one restricts to instanton solutions with spherical symmetry (i.e. respecting the rotational SO(5) symmetry of Euclidean AdS 5 ) for simplicity, then the scalar field equations of motion reduce to geodesic equations on M moduli and the Einstein equations of motion decouple from the scalar fields into a universal form, [2,6,7]. The metric is then only sensitive to the constant velocity of the geodesics (in an affine parametrization), which we denote as cwhere φ I denote the moduli, G IJ is the metric on (1.2) and a dot is a derivative with respect to the affine coordinate.…”

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confidence: 99%

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The holographic dual to supergravity instantons in AdS5× S5/ℤk

Katmadas

Ruggeri

Trigiante

et al. 2019

J. High Energ. Phys.

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We investigate the holographic dual to supergravity instanton solutions in AdS 5 × S 5 /Z k , which are described entirely in terms of geodesics on the AdS moduli space. These instantons are expected to be holographically dual to instantons in an N = 2 necklace quiver gauge theory in four dimensions with k gauge nodes, at large N. For the supersymmetric instantons we find a precise match between the on-shell actions and the vevs of Tr[F 2 ] and Tr[F ∧F ] computed on both sides of the duality. This correspondence requires an exact identification between the massless supergravity scalars and the dual gauge couplings which we give in detail. We also find a candidate for the supergravity dual of a quasi-instanton in the quiver theory, which is a non-supersymmetric extremal solution.manifold (1.1) has exactly k Abelian isometries that act as shifts of k real scalars. This fixes the Wick-rotation uniquely to [2]If one restricts to instanton solutions with spherical symmetry (i.e. respecting the rotational SO(5) symmetry of Euclidean AdS 5 ) for simplicity, then the scalar field equations of motion reduce to geodesic equations on M moduli and the Einstein equations of motion decouple from the scalar fields into a universal form, [2,6,7]. The metric is then only sensitive to the constant velocity of the geodesics (in an affine parametrization), which we denote as cwhere φ I denote the moduli, G IJ is the metric on (1.2) and a dot is a derivative with respect to the affine coordinate. Not surprisingly the description of geodesics on a coset space like (1.2) can be understood entirely using group theory [1]. The properties and meaning of geodesics depend strongly on whether they are time-like (c > 0), space-like (c < 0) or null (c = 0). When c < 0 the instantons are called super-extremal and the geometry describes a smooth two-sided wormhole that asymptotes to AdS on both sides [8]. A very explicit and concrete embedding of such wormholes was found inside AdS 5 × S 5 /Z k when k > 1 [2]. When k = 1 the scalars are singular and the corresponding wormholes are not considered as physical [9]. These Euclidean "axionic" wormholes have a long history in cosmology, QCD, holography and quantum gravity (see for instance [2, 10-17] ) which was reviewed in the comprehensive paper [18].When c > 0 the instantons are called sub-extremal and the geometry corresponds to a singular "spiky" deformation of AdS. The holographic description of these instantons is unclear but for c small enough a suggestion was made in [9] in the case of AdS 5 × S 5 . In this paper we find that the same interpretation holds water as well in AdS 5 × S 5 /Z k .The focus of our paper is on the extremal instantons, for c = 0. When k > 1 it was found that these instantons come into two families, supersymmetric or not, whereas for k = 1 there are only supersymmetric solutions. One can expect that the supersymmetric instantons are the easiest to understand. When k = 1 these instantons are simply the D(-1)/D3 bound states zoomed in near the horizon of the D3. Their hol...

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Axion wormholes in AdS compactifications

Cited by 29 publications

References 29 publications

Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology

Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology

Euclidean Axion Wormholes Have Multiple Negative Modes

The holographic dual to supergravity instantons in AdS5× S5/ℤk

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