Supersymmetric solitons and a degeneracy of solutions in AdS/CFT

Anabalón, Andrés; Ross, Simon F.

doi:10.1007/jhep07(2021)015

Cited by 26 publications

(43 citation statements)

References 42 publications

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“…The new 1/2 BPS solitons discovered in such reference are connected, via a double analytic continuation, to the plannar Reissner-Norstrom-AdS spacetime for a value of the integration constant that would lead to a naked singularity in the latter. Remarkably, the double Wick rotation leads to a smooth spacetime with unbroken supersymmetries 1 [30], as we have also reported here for N = 4 SU(2) × SU (2) gauged supergravity.…”

Section: Jhep02(2022)057 2 New Bps Solitonsupporting

confidence: 83%

“…Notwithstanding this fact, the double analytic continuation, followed by a compactification of the coordinate ϕ with an appropriate range, leads to a completely regular soliton spacetime. The same effect has been recently seen to work for N = 2 gauged supergravity in D = 4 and D = 5 in [30]. The new 1/2 BPS solitons discovered in such reference are connected, via a double analytic continuation, to the plannar Reissner-Norstrom-AdS spacetime for a value of the integration constant that would lead to a naked singularity in the latter.…”

Section: Jhep02(2022)057 2 New Bps Solitonsupporting

confidence: 69%

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New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

Canfora

Oliva

Oyarzo

2022

J. High Energ. Phys.

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We start by revisiting the problem of finding BPS solutions in $$ \mathcal{N} $$ N = 4 SU (2) × SU (2) gauged supergravity. We report on a new supersymmetric solution in the Abelian sector of the theory, which describes a soliton that is regular everywhere. The solution is 1/4 BPS and can be obtained from a double analytic continuation of a planar solution found by Klemm in hep-th/9810090. Also in the Abelian sector, but now for a spherically symmetric ansatz we find a new solution whose supersymmetric nature was overlooked in the previous literature. Then, we move to the non-Abelian sector of the theory by considering the meron ansatz for SU (2). We construct electric-meronic and double-meron solutions and show that the latter also leads to 1/4 BPS configurations that are singular and acquire an extra conformal Killing vector. We then move beyond the supergravity embedding of this theory by modifying the self-interaction of the scalar, but still within the same meron ansatz for a single gauge field, which is dilatonically coupled with the scalar. We construct exact black holes for two families of self-interactions that admit topologically Lifshitz black holes, as well as other black holes with interesting causal structures and asymptotic behavior. We analyze some thermal properties of these spacetimes.

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Section: Jhep02(2022)057 2 New Bps Solitonsupporting

confidence: 83%

Section: Jhep02(2022)057 2 New Bps Solitonsupporting

confidence: 69%

New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

Canfora

Oliva

Oyarzo

2022

J. High Energ. Phys.

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“…As reported in [23] the solitonic geometries are smooth at the origin and can preserve 1/4 of the supersymmetries and can be obtained from the corresponding planar black holes via a double analytic continuation, as it is the case of the recently reported solitons in N = 2 gauged supergravity in four dimensions [24]. At the origin and in the near horizon region, the boundary conditions are clear and are given by regularity and purely ingoing modes, respectively.…”

Section: Final Remarkssupporting

confidence: 54%

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Aguayo,

Hernández,

Mena

et al. 2022

Preprint

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In this paper we identify a new family of black holes and solitons that lead to the exact integration of scalar probes, even in the presence of a non-minimal coupling with the Ricci scalar which has a non-trivial profile. The backgrounds are planar and spherical black holes as well as solitons of SU (2) × SU (2) N = 4 gauged supergravity in four dimensions. On these geometries, we compute the spectrum of (quasi-)normal modes for the non-minimally coupled scalar field. We find that the equation for the radial dependence can be integrated in terms of hypergeometric functions leading to an exact expression for the frequencies. The solutions do not asymptote to a constant curvature spacetime, nevertheless the asymptotic region acquires an extra conformal Killing vector. For the black hole, the scalar probe is purely ingoing at the horizon, and requiring that the solutions lead to an extremum of the action principle we impose a Dirichlet boundary condition at infinity. Surprisingly, the quasinormal modes do not depend on the radius of the black hole, therefore this family of geometries can be interpreted as isospectral in what regards to the wave operator non-minimally coupled to the Ricci scalar. We find both purely damped modes, as well as exponentially growing unstable modes depending on the values of the non-minimal coupling parameter. For the solitons we show that the same integrability property is achieved separately in a non-supersymmetric solutions as well as for the supersymmetric one. Imposing regularity at the origin and a well defined extremum for the action principle we obtain the spectra that can also lead to purely oscillatory modes as well as to unstable scalar probes, depending on the values of the non-minimal coupling.

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“…We end our discussion by pointing out that the choice of spin structure is also important when studying non-trivial JHEP02(2022)052 solutions of a supergravity theory that break the isometries of AdS. This was emphasized in [20], see also [41], where fillings of Euclidean AdS 4 with different topology were discussed and it was found that not all of them can be uplifted to 11d supergravity for all choices of spin structure and orbifold action on S 7 . This further highlights the importance of the choice of spin structures in holography in setups with broken conformal invariance.…”

Section: Jhep02(2022)052mentioning

confidence: 91%

Spin structures and AdS4 holography

Bobev

Bomans

2022

J. High Energ. Phys.

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We study the importance of spin structures as defining data for 11d supergravity backgrounds of the form AdS4 × S7/Zk with a free orbifold action. For a generic choice of the orbifold action, there is only one spin structure that preserves invariant Killing spinors. There are, however, orbifold actions that allow for more than one spin structure with preserved Killing spinors. In these cases the two different spin structures should lead to distinct holographically dual 3d SCFTs with different amounts of supersymmetry. We illustrate this phenomenon by studying the KK spectrum of 11d supergravity on AdS4 × S7/Z4. For one choice of spin structure this background is dual to the 3d $$ \mathcal{N} $$ N = 6 ABJM theory at level k = 4. For the alternative choice of spin structure our results suggest that the holographic dual is a different 3d $$ \mathcal{N} $$ N = 2 SCFT and we discuss some of its properties.

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Supersymmetric solitons and a degeneracy of solutions in AdS/CFT

Cited by 26 publications

References 42 publications

New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

Exact scalar (quasi-)normal modes of black holes and solitons in gauged SUGRA

Spin structures and AdS4 holography

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