Strings on AdS wormholes

Ali, Mir Tareque; Ruiz, Frenny; Saint-Victor, Carlos; Vázquez-Poritz, Justin F.

doi:10.1103/physrevd.80.046002

Cited by 11 publications

(21 citation statements)

References 26 publications

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“…Before continuing to equation G i = 0, let us go back to the problem of the consistency of Eq. (23). Assuming (Jr 2 ) = 0 and (Jr 2 ) · = 0, by taking derivatives of Eq.…”

Section: Proof Of the Classificationmentioning

confidence: 99%

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All the solutions of the form M2 × WΣd − 2 for Lovelock gravity in vacuum in the Chern-Simons case

Oliva

2013

Journal of Mathematical Physics

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In this paper we classify a certain family of solutions of Lovelock gravity in the Chern-Simons (CS) case, in arbitrary (odd) dimension, d ≥ 5. The spacetime is characterized by admitting a metric that is a warped product of a two-dimensional spacetime M 2 and an (a priori) arbitrary Euclidean manifold d−2 of dimension d − 2. We show that the solutions are naturally classified in terms of the equations that restrict d−2 . According to the strength of such constraints we found the following branches in which d−2 has to fulfill: a Lovelock equation with a single vacuum (Euclidean Lovelock Chern-Simons in dimension d − 2), a single scalar equation that is the trace of an Euclidean Lovelock CS equation in dimension d − 2, or finally a degenerate case in which d−2 is not restricted at all. We show that all the cases have some degeneracy in the sense that the metric functions are not completely fixed by the field equations. This result extends the static five-dimensional case previously discussed in Dotti et al. [Phys. Rev. D 76, 064038 (2007)], and it shows that in the CS case, the inclusion of higher powers in the curvature does not introduce new branches of solutions in Lovelock gravity. Finally, we comment on how the inclusion of a non-vanishing torsion may modify this analysis. C 2013 American Institute of Physics. [http://dx.

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“…Before continuing to equation G i = 0, let us go back to the problem of the consistency of Eq. (23). Assuming (Jr 2 ) = 0 and (Jr 2 ) · = 0, by taking derivatives of Eq.…”

Section: Proof Of the Classificationmentioning

confidence: 99%

“…22, and some holographic properties of strings attached to the boundaries have been explored in Ref. 23. For ξ = 0 the metric reduces to…”

Section: A On the Causal Structuresmentioning

confidence: 99%

All the solutions of the form M2 × WΣd − 2 for Lovelock gravity in vacuum in the Chern-Simons case

Oliva

2013

Journal of Mathematical Physics

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“…This no-go theorem can be easily circumvented in higher-order derivative theories. Smooth wormholes with two AdS boundaries were constructed in Einstein gravity with the Gauss-Bonnet term [30,31,32].…”

Section: Ads Wormholesmentioning

confidence: 99%

f(R) gravities, Killing spinor equations, “BPS” domain walls and cosmology

Liu

Lü

Wang

2012

J. High Energ. Phys.

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We derive the condition on f (R) gravities that admit Killing spinor equations and construct explicit such examples. The Killing spinor equations can be used to reduce the fourth-order differential equations of motion to the first order for both the domain wall and FLRW cosmological solutions. We obtain exact "BPS" domain walls that describe the smooth Randall-Sundrum II, AdS wormholes and the RG flow from IR to UV. We also obtain exact smooth cosmological solutions that describe the evolution from an inflationary starting point with a larger cosmological constant to an ever-expanding universe with a smaller cosmological constant. In addition, We find exact smooth solutions of pre-big bang models, bouncing or crunching universes. An important feature is that the scalar curvature R of all these metrics is varying rather than a constant. Another intriguing feature is that there are two different f (R) gravities that give rise to the same "BPS" solution. We also study linearized f (R) gravities in (A)dS vacua.

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“…Partly motivated by recent developments in the AdS/CFT correspondence and its ramifications, more precisely by the picture presented in [23], one could be interested in probing wormhole geometries connecting two asymptotic AdS regions using fundamental strings as those described above. Some work along these lines has been done in [24][25][26][27][28][29], where different string configurations were considered on a two-sided AdS 5 traversable wormhole. In that case, the holographic dual is given by two copies of the gauge theory which are interacting.…”

Section: Introductionmentioning

confidence: 99%

“…The geometry we present here can also be interpreted as a pair of CFTs directly coupled by an operator. In [24], for example, the authors studied the dynamics…”

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes in AdS5 and string dioptrics

Chernicoff

Garcı́a

Giribet

et al. 2020

J. High Energ. Phys.

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We consider string probes in a traversable wormhole geometry that connects two locally AdS5 asymptotic regions. Holographically, this describes two interacting copies of a 4-dimensional gauge theory. We consider string configurations whose endpoints are located either in the same boundary or in the two different boundaries of the wormhole. A string with both endpoints in the same boundary is dual to a quark-antiquark pair charged under the same gauge field, while a string extending through the wormhole describes a pair of colored particles charged under two different gauge fields. When one considers a quark-antiquark pair in each boundary, the system undergoes a phase transition: while for small separation each pair of charges exhibits Coulomb interaction, for large separation the charges in different field theories pair up. This behavior had previously been observed in other geometric realizations such as locally AdS5 wormhole solutions with hyperbolic throats. The geometries we consider here, in contrast, are stable thin-shell wormholes with flat codimension-one hypersurfaces at fixed radial coordinate. They appear as electrovacuum solutions of higher-curvature gravity theories coupled to Abelian gauge fields. The presence of the thin-shells produces a refraction of the string configurations in the bulk, leading to the presence of cusps in the phase space diagram. We discuss these and other features of the phase diagram, including the analogies and difference with other wormhole solutions considered in related contexts.

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Strings on AdS wormholes

Cited by 11 publications

References 26 publications

All the solutions of the form M2 × WΣd − 2 for Lovelock gravity in vacuum in the Chern-Simons case

All the solutions of the form M2 × WΣd − 2 for Lovelock gravity in vacuum in the Chern-Simons case

f(R) gravities, Killing spinor equations, “BPS” domain walls and cosmology

Thin-shell wormholes in AdS5 and string dioptrics

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