Instantons, Euclidean wormholes and AdS/CFT

Riet, Thomas Van

doi:10.22323/1.376.0121

Cited by 13 publications

(38 citation statements)

References 31 publications

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“…Indeed, it was shown rather explicitly in [26] that such wormhole saddle points are unstable in the Euclidean sense and cannot contribute. In fact, the instabilities found in [26] are in the non-homogenous sector and point to a defragmentation of the wormhole [19]; the wormholes are "self-repulsive" in a Euclidean sense. This self-repulsive property is the Euclidean analog of the self-repulsive particles in the Weak Gravity Conjecture context for particles and black holes.…”

Section: Axionic Instantonsmentioning

confidence: 98%

“…In this section we shift gears and relate the previous precise results in classical general relativity to a more involved topic in semi-classical quantum gravity; the meaning of Euclidean axion wormholes introduced by Coleman [23], and more general, instanton solutions sourced by axion fields. Our discussion will be necessarily more heuristic and aims at providing more circumstantial evidence to the claim in [26] (and [19]) that Euclidean wormholes of the Coleman type do not contribute to the path integral describing nucleation and absorption probabilities for baby universes carrying axion charges.…”

Section: Axionic Instantonsmentioning

confidence: 99%

“…Such timelike reductions are formal consistent truncations, not more. However, the formalism does shed light on discussions surrounding the notion of extremality for gravitational instantons sourced by axions [16][17][18][19].…”

Section: Axionic Instantonsmentioning

confidence: 99%

“…This self-repulsive property is the Euclidean analog of the self-repulsive particles in the Weak Gravity Conjecture context for particles and black holes. The explicit self-repulsive nature of wormholes can also be argued by evaluating the action of a probe BPS D-instanton near a wormhole background [19]. The conclusion is that fragmented wormholes have lower action.…”

Section: Axionic Instantonsmentioning

confidence: 99%

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A comment on no-force conditions for black holes and branes

Riet

2021

Class. Quantum Grav.

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In the context of the Weak Gravity Conjecture the notion of quasi-extremality for black holes and branes was recently defined as the property of having either vanishing horizon size or surface gravity. It was derived that such objects obey a no-force condition. In this short note I present a simplified derivation that is essentially present in the formalism of timelike reduction pioneered by Breitenlohner, Gibbons and Maison. This formalism also provides the natural definition of quasiextremality for gravitational instantons (and wormholes) sourced by axion fluxes and strengthens the argument that macroscopic axion wormholes do not contribute in the path integral since they are self-repulsive in a Euclidean sense.

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Section: Axionic Instantonsmentioning

confidence: 98%

Section: Axionic Instantonsmentioning

confidence: 99%

Section: Axionic Instantonsmentioning

confidence: 99%

Section: Axionic Instantonsmentioning

confidence: 99%

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A comment on no-force conditions for black holes and branes

Riet

2021

Class. Quantum Grav.

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“…The role Euclidean wormholes 2 can play is not clear picture at this point in time. In fact some well-motivated ideas on quantum gravity and the Swampland [4,5] suggest that wormholes do not contribute in the ways envisaged in the early works [2,6,7] (see also [8]).…”

Section: Introductionmentioning

confidence: 99%

Instantons and no wormholes in $AdS_3\times S^3 \times CY_2$

Astesiano¹,

Ruggeri²,

Trigiante³

et al. 2022

Preprint

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We study supergravity instantons sourced by axion (and saxion) fields in the Euclidean AdS 3 ×S 3 ×CY 2 vacua of IIB supergravity. Such instantons are described by geodesic curves on the moduli space; the timelike geodesics can describe Euclidean wormholes, the lightlike geodesics describe (generalisations of) D-instantons and spacelike geodesics are sub-extremal versions thereof. We perform a concrete classification of such geodesics and find that, despite earlier claims, the wormholes fail to be regular. A subclass of the lightlike geodesics is supersymmetric and, up to dualities, lift to Euclidean strings wrapping 2-cycles in the CY 2 . The dual of these instantons are expected to be worldsheet instantons of the D1-D5 CFT.

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Microstates of a 2d Black Hole in string theory

Betzios

Papadoulaki

2023

J. High Energ. Phys.

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We analyse models of Matrix Quantum Mechanics in the double scaling limit that contain non-singlet states. The finite temperature partition function of such systems contains non-trivial winding modes (vortices) and is expressed in terms of a group theoretic sum over representations. We then focus in the case when the first winding mode is dominant (model of Kazakov-Kostov-Kutasov). In the limit of large representations (continuous Young diagrams), and depending on the values of the parameters of the model such as the compactification radius and the string coupling, the dual geometric background corresponds to that of a long string (winding mode) condensate or a 2d (non-supersymmetric) Black Hole. In the matrix model we can tune these parameters and explore various phases and regimes. Our construction allows us to identify the origin of the microstates of these backgrounds, arising from non trivial representations, and paves the way for computing various observables on them.

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Instantons, Euclidean wormholes and AdS/CFT

Cited by 13 publications

References 31 publications

A comment on no-force conditions for black holes and branes

A comment on no-force conditions for black holes and branes

Instantons and no wormholes in $AdS_3\times S^3 \times CY_2$

Microstates of a 2d Black Hole in string theory

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