Bubbling geometries for AdS2× S2

Lunin, Oleg

doi:10.1007/jhep10(2015)167

Cited by 24 publications

(21 citation statements)

References 111 publications

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“…In particular, consistent with the example in [10] mentioned above, 4-dimensional spacetimes that satisfy the ANEC strictly could not have AdS 2 × S 2 asymptotics. All of this suggests that the examples constructed in [7] cannot be globally regular, which, in fact, has since been confirmed by Lunin [9].…”

Section: Introductionmentioning

confidence: 63%

“…[10] and references therein. More recently a class of horizon free supersymmetric solutions to Einstein-Maxwell theory having AdS 2 × S 2 asymptotics has been constructed by Lunin [7]. However, on the basis of an example considered in [10,Section 2.2], and also a result in [5] (Theorem 2.1), Maldacena has suggested that any asymptotically AdS 2 × S 2 spacetime that obeys the null energy condition (NEC), or more generally the average null energy condition (ANEC), should be quite special.…”

Section: Introductionmentioning

confidence: 99%

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Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes

Galloway

Graf

2019

Advances in Theoretical and Mathematical Physics

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The spacetime AdS 2 × S 2 is well known to arise as the 'near horizon' geometry of the extremal Reissner-Nordstrom solution, and for that reason it has been studied in connection with the AdS/CFT correspondence. Here we consider asymptotically AdS 2 × S 2 spacetimes that obey the null energy condition (or a certain averaged version thereof). Supporting a conjectural viewpoint of Juan Maldacena, we show that any such spacetime must have a special geometry similar in various respects to AdS 2 × S 2 , and under certain circumstances must be isometric to AdS 2 × S 2 .

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Section: Introductionmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes

Galloway

Graf

2019

Advances in Theoretical and Mathematical Physics

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“…One of the most recent frontiers seems to be the Type II AdS 2 × S 2 × T 6 background with R-R fluxes, preserving 8 supersymmetries [9][10][11][12][13]. The holographic dual is either expected to be a superconformal quantum mechanics, or a chiral 2D CFT [14][15][16][17] (see [18][19][20][21][22][23][24][25][26][27][28][29] for recent work).…”

Section: Introductionmentioning

confidence: 99%

Massless AdS 2 scattering and Bethe ansatz

Fontanella

Торриелли

2017

J. High Energ. Phys.

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We first analyse the integrable scattering theory describing the massless excitations of AdS 2 × S 2 × T 6 superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured exact expression, and compared to known S-matrices with N = 1 supersymmetry in 1 + 1 dimensions. A dressing factor, yet unknown for the complete theory, is here constructed based on relativistic crossing symmetry. We derive a Bethe-ansatz condition by employing a transfer-matrix technique based on the so-called free-fermion condition. This is known to overcome the problem of lack of a reference state. We then generalise the method to the massless non-relativistic case, and compare the resulting Bethe-ansatz condition with a simple massless limit of the one conjectured by Sorokin, Tseytlin, Wulff and Zarembo.

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“…They belong to the so-called IWP family of solutions [57,58] and are characterized by one complex harmonic function in three dimensions. The main differences between the solutions in [55] and ours are as follows. First, because the solutions in [55] are based on one complex harmonic function, their possible monodromies are Abelian.…”

Section: Implication For Black-hole Microstatesmentioning

confidence: 89%

Non-Abelian supertubes

Fernandez-Melgarejo

Park

Shigemori

2017

J. High Energ. Phys.

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A supertube is a supersymmetric configuration in string theory which occurs when a pair of branes spontaneously polarizes and generates a new dipole charge extended along a closed curve. The dipole charge of a codimension-2 supertube is characterized by the U-duality monodromy as one goes around the supertube. For multiple codimension-2 supertubes, their monodromies do not commute in general. In this paper, we construct a supersymmetric solution of five-dimensional supergravity that describes two supertubes with such non-Abelian monodromies, in a certain perturbative expansion. In supergravity, the monodromies are realized as the multi-valuedness of the scalar fields, while in higher dimensions they correspond to non-geometric duality twists of the internal space. The supertubes in our solution carry NS5 and 5 2 2 dipole charges and exhibit the same monodromy structure as the SU(2) Seiberg-Witten geometry. The perturbative solution has AdS 2 × S 2 asymptotics and vanishing four-dimensional angular momentum. We argue that this solution represents a microstate of four-dimensional black holes with a finite horizon and that it provides a clue for the gravity realization of a pure-Higgs branch state in the dual quiver quantum mechanics.

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Bubbling geometries for AdS2× S2

Cited by 24 publications

References 111 publications

Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes

Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes

Massless AdS 2 scattering and Bethe ansatz

Non-Abelian supertubes

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