Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes

Berdichevsky, León; Dahan, Bat-el

doi:10.1007/jhep08(2013)061

Cited by 13 publications

(23 citation statements)

References 47 publications

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“…[31,[36][37][38][39][40][41][42][43][44], namely DCFTs and BCFTs in d = 3, 4 holographically dual to ten-or eleven-dimensional SUGRA. For our holographic DCFTs, we find that generically S defect takes the form…”

Section: Summary Of Resultsmentioning

confidence: 99%

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On holographic defect entropy

Estes

Jensen

O’Bannon

et al. 2014

J. High Energ. Phys.

121

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Abstract:We study a number of (3+1)-and (2+1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using holography, we compute the entanglement entropy of a (hemi-)spherical region centered on the defect (boundary). We define defect and boundary entropies from the entanglement entropy by an appropriate background subtraction. For some (3 + 1)-dimensional theories we find evidence that the defect/boundary entropy changes monotonically under certain renormalization group flows triggered by operators localized at the defect or boundary. This provides evidence that the g-theorem of (1 + 1)-dimensional field theories generalizes to higher dimensions.

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Section: Summary Of Resultsmentioning

confidence: 99%

“…We will perform a general calculation, applicable to essentially all of the solutions of refs. [31,[36][37][38][39][40][41][42][43][44], however, we will present explicit results only for a representative sample of the SUGRA solutions in refs. [31,36,[38][39][40][41], as we discuss below.…”

Section: Jhep05(2014)084mentioning

confidence: 99%

On holographic defect entropy

Estes

Jensen

O’Bannon

et al. 2014

J. High Energ. Phys.

121

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“…For generic values of γ a crucial step was taken in [10] where it was shown that the two maximally symmetric AdS 4 × S 7 and AdS 7 × S 4 solutions can be deformed to arbitrary values of the modulus γ (but not the sign) of γ. A complementary observation was made in [23], where it was noted that γ = 1 is compatible with solutions of the supergravity equations that are asymptotic to AdS 7 × S 4 . In the present paper, we shall extend and unify these results, by showing that all known solutions associated with special values of γ may be continuously deformed to solutions with the same sign of γ, but different modulus |γ|.…”

Section: 1mentioning

confidence: 70%

“…We show, in particular, that changing γ rescales the M5 2 Ref. [23] concluded that there is no obstruction, at the level of the symmetry algebra, to the coexistence in the same solution of an AdS 7 ×S 4 and a AdS 4 ×S 7 throat. Nevertheless, we have not found any regular solutions of this type.…”

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confidence: 70%

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M‐theory solutions invariant under D(2,1; γ) ⊕ D(2,1;γ)

Bachas

D’Hoker

Estes

et al. 2014

Fortschritte der Physik

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We simplify and extend the construction of half-BPS solutions to 11-dimensional supergravity, with isometry superalgebra D(2, 1; γ) ⊕ D(2, 1; γ). Their space-time has the form AdS 3 ×S 3 ×S 3 warped over a Riemann surface Σ. It describes near-horizon geometries of M2 branes ending on, or intersecting with, M5 branes along a common string. The general solution to the BPS equations is specified by a reduced set of data (γ, h, G), where γ is the real parameter of the isometry superalgebra, and h and G are functions on Σ whose differential equations and regularity conditions depend only on the sign of γ. The magnitude of γ enters only through the map of h, G onto the supergravity fields, thereby promoting all solutions into families parametrized by |γ|. By analyzing the regularity conditions for the supergravity fields, we prove two general theorems: (i) that the only solution with a 2-dimensional CFT dual is AdS 3 ×S 3 ×S 3 × R 2 , modulo discrete identifications of the flat R 2 , and (ii) that solutions with γ < 0 cannot have more than one asymptotic higherdimensional AdS region. We classify the allowed singularities of h and G near the boundary of Σ, and identify four local solutions: asymptotic AdS 4 /Z 2 or AdS 7 regions; highly-curved M5-branes; and a coordinate singularity called the "cap". By putting these "Lego" pieces together we recover all known global regular solutions with the above symmetry, including the self-dual strings on M5 for γ < 0, and the Janus solution for γ > 0, but now promoted to families parametrized by |γ|. We also construct exactly new regular solutions which are asymptotic to AdS 4 /Z 2 for γ < 0, and conjecture that they are a different superconformal limit of the self-dual string. Finally, we construct exactly γ > 0 solutions with highly curved M5-brane regions, which are the formal continuation of the self-dual string solutions across the decompactification point at γ = 0.

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The spectrum of boundary states in symmetric orbifolds

Belin

Biswas

Sully

2022

J. High Energ. Phys.

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We give an explicit construction of the complete set of Cardy boundary states that respect the extended chiral algebra for symmetric product orbifolds. The states are labelled by a choice of seed theory boundary states as well as a choice of representations of the symmetric group. At large N, we analyze the BCFT data which is relevant for holography, namely the boundary entropy and the one-point functions of single-trace operators. In some cases, typical boundary states are compatible with a bulk description in terms of an End-of-the-World brane along with backreacted matter fields. We discuss the significance of these results for the AdS/BCFT correspondence.

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Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes

Cited by 13 publications

References 47 publications

On holographic defect entropy

On holographic defect entropy

M‐theory solutions invariant under D(2,1; γ) ⊕ D(2,1;γ)

The spectrum of boundary states in symmetric orbifolds

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