Comments on AdS2 solutions of D=11 Supergravity

Jong-Dae Park; Nakwoo Kim

REVIEW

Comments on AdS2 solutions of D=11 Supergravity

Nakwoo Kim, Jong-Dae Park

High Energy Physics - Theory · Submitted 14 Jul 2006 · 26 references

Pith's verdict: A clean structural result for AdS2 M-theory backgrounds, but the chirality step that carries the Kähler conclusion has a real gap the authors only partly acknowledge.

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arXiv IDhep-th/0607093 (version 2)

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CitationJong-Dae Park, Nakwoo Kim. "Comments on AdS2 solutions of D=11 Supergravity." arXiv:hep-th/0607093 (2006). https://pith.science/paper/EW2L25W3

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Kim and Park's paper is a short, competent extension of their AdS3/IIB analysis to AdS2 in D=11. They run the Killing-spinor bilinear machinery and conclude that a supersymmetric AdS2 background with pure M2 electric flux has a nine-dimensional internal space that is a warped U(1) fibration over an eight-dimensional Kähler manifold, with the Kähler base satisfying a nonlinear curvature equation (3.20). The derivation from the Killing equations to the metric form (3.21) is clean and follows standard identities; the curvature equation is a genuine output. The examples in §4 — AdS2×S3×T6, AdS4×SE7, and the Lin-Lunin-Maldacena bubbling geometry — are correctly rewritten in the general form, which is a useful sanity check on the framework rather than a proof of it, since those internal manifolds are non-compact and sit outside the proven scope. The authors say as much, which is honest. The citation pattern is fine: [4] and [6] are self-citations to published results, and [10] for the Bianchi/EOM-to-Einstein check is standard. The soft spot is the chirality step in §3, and it is sharper than the authors' own caveat. They acknowledge that the proof that η is chiral on M8 assumes compactness and a non-singular warp factor, and say they hope to improve it. But the argument as written has a further gap: defining D = e^{-A}η^Tη, they show D^{-1} is harmonic on compact M8, hence D constant, hence D = 0 — a contradiction. That establishes only that D vanishes somewhere, not that D ≡ 0. Chirality needs D ≡ 0. So the load-bearing step is not rigorously established by the text. One caveat on the stress-test's proposed fix: the 'immediate by positivity' route does not quite work either, because D is complex-valued (the paper says so), so (∇D)² = -e^{-2A}D² is a complex square identity, not a norm identity. A real bilinear would settle it instantly; η^Tη is not one. So the gap is real and the fix is not trivial, though it is plausibly closable. Everything downstream — K² = e^{2A}, the integrable complex structure, dB = Ricci form, Eq. (3.20) — rests on chirality, so this matters. Who should read it: anyone working on AdS2 holography or 1/16-BPS M-theory bubbling geometries will find the structural statement and Eq. (3.20) a useful organizing principle. It does not construct new solutions — Eq. (3.20) is left unsolved — so its value is as a framework. Recommendation: worth a serious referee, but the chirality argument needs tightening or the scope of the claim narrowed to what is actually proved. I would engage with it.

Referee report

Major objections (1)

[§3, paragraph between Eqs. (3.11) and (3.13)] The argument as written establishes only that D ≡ e^{-A}η^Tη vanishes somewhere, not that it vanishes identically, so the conclusion 'η^Tη = η^Tγ_aη = 0' does not follow as stated. The reductio is: if D ≠ 0 everywhere, then ∇²(D^{-1}) = 0 on compact M8, hence D^{-1} is constant, hence D is constant, and then (∇D)² = −e^{-2A}D² forces D = 0, a contradiction. That contradiction shows D has at least one zero; it does not exclude D being nonzero on a dense open set with isolated zeros. Since chirality of η on M8 is what yields K² = e^{2A} and the integrable complex structure, this step is load-bearing for the paper's central claim. A short completion is available and I would encourage the authors to include it: writing D = ρe^{iθ} on the open set where ρ ≠ 0, the two relations give ∇²θ = 0 and Σ_a(∂_aρ)² = ρ²(Σ_a(∂_aθ)² − e^{-2A}), which together with ∇²D + 2e^{-2A}D = 0 forces ρ ≡ 0. I note that the shortcut 'positivity of the Riemannian norm gives D ≡ 0 immediately' does not apply here, because D is complex and the contracted object is Σ_a(∂_aD)² rather than Σ_a|∂_aD|². The authors' compactness caveat is a separate and honestly stated limitation; the point here is that even granting compactness the printed argument is one step short.

Minor objections (8)

[Eq. (3.10)] The first term on the left-hand side appears to be missing a square: as printed, |η^Tη| − |η^Tγ_aη|² is not dimensionally consistent with the right-hand side, and the identity is presumably |η^Tη|² − |η^Tγ_aη|² = 2(η†γ_aη)² − 2(η†η)². Please also state explicitly the summation convention over a and whether η is taken real, since these identities are used immediately afterwards.
[Eqs. (3.18)–(3.20) and (4.4)–(4.5)] The symbol R denotes the Ricci two-form in (3.18) and (4.4) and the scalar curvature in (3.19), (3.20) and (4.5). Because (3.18) and (3.19) appear in consecutive lines, the overload is genuinely confusing; please use distinct symbols such as Ric and R throughout.
[Eq. (3.20)] The curvature equation is asserted rather than derived: the text says only that it follows from ∇_a(e^{-2A}F^{ab}) = 0 and Eq. (3.4). Since this equation is the only dynamical content of the classification, a sketch of the intermediate steps, or a pointer to an appendix, would let the reader verify it independently.
[§3, following Eq. (3.20)] The paper states that the Bianchi identity and the F equation of motion must be imposed to guarantee that the configuration solves all equations of motion, but does not discuss the Einstein equation or the C equation of motion. A sentence noting that these follow from the Killing spinor equations together with the F equations, as in Ref. [10], would complete the argument.
[§4, Eqs. (4.11)–(4.12)] Please verify the overall normalization of the eight-dimensional part. Comparing the ds²_KE4 term in (4.11), 4e^{2λ}ds²_KE4, with the corresponding term in (4.12), 4y²e^{-2λ}ds²_KE4, the two differ by y²e^{-4λ} = e^{2A}, and the same factor appears in the dy² term. If this is a typographical slip it should be corrected; if not, the identification of ḡ and the compatibility of J in (4.13) need to be re-examined.
[Abstract and §5] The abstract's phrase 'the generic bubbling geometry of M-theory which are 1/16-BPS' is ambiguous, since the bubbling geometries of Ref. [7] are 1/2-BPS and it is the AdS2 solutions that are generically 1/16-BPS. Please rephrase so that the supersymmetry fraction is attached to the correct object.
[§4, first example] The statement that the S³ radius is twice the AdS2 radius is consistent with R = 2e^{-3A}, but the text would be clearer if it identified explicitly which Hopf direction of S³ plays the role of ψ and which two-sphere plays the role of the Kähler base.
[Presentation] There are several typographical issues: 'Scien ce' in the author address, 'without loss generality' in §2, 'organised' versus 'organized', 'Waldra m' in Ref. [8], and inconsistent spacing in 'K¨ ahler' throughout.

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The paper

The paper claims

Supersymmetric eleven-dimensional solutions with an AdS$_2$ factor are forced, when the internal space is compact, to be a warped circle fibration over an eight-dimensional Kähler manifold whose Ricci form is the fibration's field strength.

The reading

The authors ask what eleven-dimensional supergravity looks like when the geometry contains a two-dimensional anti-de Sitter factor, the kind of near-horizon geometry produced by M2-branes wrapped on a two-cycle inside a Calabi-Yau five-fold. Their answer is a local classification: assuming only electric flux of the form $G = Vol_{AdS_2} ∧ F$ and a single Killing spinor, they show that the nine-dimensional internal space must be a warped $U(1)$ fibration over an eight-dimensional Kähler base, with the fibration's field strength equal to the base's Ricci form. If correct, this turns the search for new AdS$_2$ backgrounds into a single nonlinear equation for the curvature of an eight-dimensional Kähler metric, much as an analogous earlier analysis reduced AdS$_3$ backgrounds to a six-dimensional problem. The claim is worth attention because it is a statement about all such solutions at once, not about one example, and because the authors check it against three known backgrounds.

What carries the argument

The load-bearing device is the set of spinor bilinears — the scalar $η^†η$, the vector $K_a = η^†γ_aη$, the two-form $Y$, and the $(4,0)$-form $Ω_{abcd} = η^Tγ_{abcd}η$ — together with the chirality statement $η^Tη = η^Tγ_aη = 0$. That vanishing is obtained by showing $D = e^{-A}η^Tη$ satisfies $∇^2 D + 2e^{-2A}D = 0$, so that $∇^2(D^{-1}) = 0$, which on a compact space with non-singular warp factor forces $D = 0$. Chirality is what collapses $Ω$ to a four-form on the eight-dimensional base, fixes $K^2 = e^{2A}$, and lets the authors read off Kählerity from the torsion of $Ω$.

Extended reading notes

Core claim

The paper's central claim is that a supersymmetric AdS$_2$ solution of eleven-dimensional supergravity built from pure M2-brane electric flux has, when the internal manifold is compact, the local form $$$ds^{2}$ = $e^{{2A}}$$ds^{2}$_{AdS_2} + $e^{{2A}}$(dψ + B)^2 + $e^{{-A}}$ ḡ_{ij} dy^i dy^j,$$ where $ḡ$ is an eight-dimensional Kähler metric, $dB$ is its Ricci form, and the scalar curvature obeys the nonlinear equation $□R - ½R^2 + R_{ij}R^{ij} = 0$ together with $R = 2e^{-3A}$. The derivation runs through spinor bilinears: the one-form $K$ built from the internal spinor is a Killing vector, the two-form $Y$ is closed and defines an almost complex structure, and the complex $(4,0)$-form $Ω$ obeys $d(e^{A}Ω) = -ai e^{-A} K ∧ Ω$, which by the standard torsion classification makes that complex structure integrable and identifies the base as Kähler. The authors then verify that AdS$_2 × S^3 × T^6$, the AdS$_4 × SE_7$ family rewritten in a squashed slicing, and the half-BPS bubbling geometry of M-theory all fit this template, in each case exhibiting an explicit closed Kähler form and $(4,0)$-form.

Load-bearing premise

The argument that the internal spinor is chiral, and hence that the base is Kähler, relies on a maximum-principle step that needs the internal manifold to be compact and the warp factor to stay non-singular; the authors say so and hope the proof can be extended beyond compactness.

Editorial extensions

If this is right

Every supersymmetric AdS$_2$ background of this type can be sought by solving one curvature equation on an eight-dimensional Kähler space, rather than by solving the full eleven-dimensional equations.
The half-BPS bubbling geometries of M-theory, after a double Wick rotation that turns the $S^2$ into an AdS$_2$, fall inside the classification, so their Kähler structure is not accidental.
The AdS$_4 × SE_7$ near-horizon geometries admit a re-slicing in which an eight-dimensional Kähler base and its Ricci form are manifest.
The curvature equation $□R - ½R^2 + R_{ij}R^{ij} = 0$ plays the same organising role for M2-brane AdS$_2$ solutions that the analogous equation played for D3-brane AdS$_3$ solutions.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the compactness assumption could be dropped, the classification would cover the non-compact bubbling geometries directly rather than by after-the-fact re-slicing, which is the gap the authors flag when they write that they guess the chirality proof can be improved.
The equation on the Kähler base is a scalar condition on curvature, so one natural test is whether known eight-dimensional Kähler metrics with prescribed Ricci form — the total spaces of bundles over Kähler–Einstein four-manifolds, for instance — can be deformed to satisfy it.
Because the fibration's field strength is fixed to be the Ricci form, the flux is topologically quantised once the base is fixed, which suggests a discrete family of AdS$_2$ backgrounds labelled by Kähler classes rather than a continuous moduli space.
A reader could check the classification cheaply by taking any candidate compact internal nine-manifold, computing the closed two-form $Y$ from a putative Killing spinor, and testing whether $dY = 0$ fails — a failure would be a counterexample.

Original abstract

We study the supersymmetric solutions of 11-dimensional supergravity with a factor of $AdS_2$ made of M2-branes. Such solutions can provide gravity duals of superconformal quantum mechanics, or through double Wick rotation, the generic bubbling geometry of M-theory which are 1/16-BPS. We show that, when the internal manifold is compact, it should take the form of a warped U(1)-fibration over an 8-dimensional Kahler space.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.44 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.58 · compares with prior results 0.08 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study the supersymmetric solutions of 11-dimensional supergravity with a factor of $AdS_2$ made of M2-branes. Such solutions can provide gravity duals of superconformal quantum mechanics, or through double Wick rotation, the generic bubbling geometry of M-theory which are 1/16-BPS. We show that, when the internal manifold is compact, it should take the form of a warped U(1)-fibration over an 8-dimensional Kahler space.

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s0	We study the supersymmetric solutions of 11-dimensional supergravity with a factor of $AdS_2$ made of M2-branes.	contribution 0.97	0.90	0.07	asserted 0.86
s1	Such solutions can provide gravity duals of superconformal quantum mechanics, or through double Wick rotation, the generic bubbling geometry of M-theory which are 1/16-BPS.	background 0.52	0.13	0.10	hedged possibility 0.97
s2	We show that, when the internal manifold is compact, it should take the form of a warped U(1)-fibration over an 8-dimensional Kahler space.	result 0.99	0.91	0.74	asserted 0.95

What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from proof or derivation 1.00.

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References

Works cited (26)

[4]

O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys.\ Rept.\ 323 (2000) 183 [arXiv:hep-th/9905111]

View on Pith Pith review arXiv 2000
[6]

J. M. Maldacena and C. Nunez, Towards the large N limit of pure N = 1 super Yang Mills , Phys.\ Rev.\ Lett.\ 86 , 588 (2001) [arXiv:hep-th/0008001]

View on Pith Pith review arXiv 2001
[10]

D. Martelli and J. Sparks, G-structures, fluxes and calibrations in M-theory, Phys.\ Rev.\ D 68 (2003) 085014 [arXiv:hep-th/0306225]

View on Pith Pith review arXiv 2003
[7]

K. Tod, All Metrics Admitting Supercovariantly Constant Spinors , Phys.\ Lett.\ B 121 (1983) 241

View on Pith 1983
[1]

J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv.\ Theor.\ Math.\ Phys.\ 2 (1998) 231 [Int.\ J.\ Theor.\ Phys.\ 38 (1999) 1113] [arXiv:hep-th/9711200]

View on Pith Pith review arXiv 1998
[2]

S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from non-critical string theory , Phys.\ Lett.\ B 428 (1998) 105 [arXiv:hep-th/9802109]

View on Pith Pith review arXiv 1998
[3]

E. Witten, Anti-de Sitter space and holography , Adv.\ Theor.\ Math.\ Phys.\ 2 (1998) 253 [arXiv:hep-th/9802150]

View on Pith Pith review arXiv 1998
[5]

I. R. Klebanov and M. J. Strassler, Supergravity and a confining gauge theory: Duality cascades and SB-resolution of naked singularities , JHEP 0008 , 052 (2000) [arXiv:hep-th/0007191]

View on Pith Pith review arXiv 2000
[8]

J. P. Gauntlett, J. B. Gutowski, C. M. Hull, S. Pakis and H. S. Reall, All supersymmetric solutions of minimal supergravity in five dimensions, Class.\ Quant.\ Grav.\ 20 (2003) 4587 [arXiv:hep-th/0209114]

View on Pith Pith review arXiv 2003
[9]

J. P. Gauntlett and J. B. Gutowski, All supersymmetric solutions of minimal gauged supergravity in five dimensions , Phys.\ Rev.\ D 68 , 105009 (2003) [Erratum-ibid.\ D 70 , 089901 (2004)] [arXiv:hep-th/0304064]

View on Pith Pith review arXiv 2003
[11]

J. B. Gutowski, D. Martelli and H. S. Reall, All supersymmetric solutions of minimal supergravity in six dimensions , Class.\ Quant.\ Grav.\ 20 , 5049 (2003) [arXiv:hep-th/0306235]

View on Pith Pith review arXiv 2003
[12]

M. M. Caldarelli and D. Klemm, All supersymmetric solutions of N = 2, D = 4 gauged supergravity , JHEP 0309 (2003) 019 [arXiv:hep-th/0307022]

View on Pith Pith review arXiv 2003
[13]

U. Gran, J. Gutowski and G. Papadopoulos, The spinorial geometry of supersymmetric IIB backgrounds , Class.\ Quant.\ Grav.\ 22 , 2453 (2005) [arXiv:hep-th/0501177]

View on Pith Pith review arXiv 2005
[14]

J. B. Gutowski and W. Sabra, General supersymmetric solutions of five-dimensional supergravity , JHEP 0510 (2005) 039 [arXiv:hep-th/0505185]

View on Pith Pith review arXiv 2005
[15]

U. Gran, J. Gutowski, G. Papadopoulos and D. Roest, Systematics Of IIB Spinorial Geometry , Class.\ Quant.\ Grav.\ 23 , 1617 (2006) [arXiv:hep-th/0507087]

View on Pith Pith review arXiv 2006
[16]

N. Kim, AdS_3 solutions of IIB supergravity from D3-branes. JHEP 0601 (2006) 094, [hep-th/0511029]

View on Pith Pith review arXiv 2006
[17]

J. P. Gauntlett, N. Kim, S. Pakis and D. Waldram, Membranes wrapped on holomorphic curves , Phys.\ Rev.\ D 65 (2002) 026003 [arXiv:hep-th/0105250]

View on Pith Pith review arXiv 2002
[18]

T. Z. Husain, M2-branes wrapped on holomorphic curves , JHEP 0312 , 037 (2003) [arXiv:hep-th/0211030]

View on Pith Pith review arXiv 2003
[19]

N. Kim, Sasaki-Einstein manifolds and their spinorial geometry, J.\ Korean Phys.\ Soc.\ 48 (2006) 197

View on Pith 2006
[20]

H. Lin, O. Lunin and J. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 0410 (2004) 025 [arXiv:hep-th/0409174]

View on Pith Pith review arXiv 2004
[21]

J. P. Gauntlett, O. A. P. Mac Conamhna, T. Mateos and D. Waldram, Supersymmetric AdS(3) solutions of type IIB supergravity , arXiv:hep-th/0606221

View on Pith Pith review arXiv
[22]

J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS(5) solutions of M-theory, Class.\ Quant.\ Grav.\ 21 (2004) 4335 [arXiv:hep-th/0402153]

View on Pith Pith review arXiv 2004
[23]

J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S(2) x S(3), Adv.\ Theor.\ Math.\ Phys.\ 8 (2004) 711 [arXiv:hep-th/0403002]

View on Pith Pith review arXiv 2004
[24]

J. P. Gauntlett and S. Pakis, The geometry of D = 11 Killing spinors , JHEP 0304 (2003) 039 [arXiv:hep-th/0212008]

View on Pith Pith review arXiv 2003
[25]

J. P. Gauntlett, J. B. Gutowski and S. Pakis, The geometry of D = 11 null Killing spinors , JHEP 0312 , 049 (2003) [arXiv:hep-th/0311112]

View on Pith Pith review arXiv 2003
[26]

A. Donos, A Description Of 1/4 Bps Configurations In Minimal Type IIB SUGRA , arXiv:hep-th/0606199

View on Pith Pith review arXiv

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How the literature uses it

44 arXiv papers cite this in 101 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 58 sentences without a confident label

Builds on it 5 papers

One of the main aims of this paper is to show that we can similarly generalise the classes of type IIB solutions considered in [ref] and the $D=11$ solutions considered in [ref] to include three-form flux and magnetic four-form flux, respectively.

AdS Solutions Through Transgression · Introduction · 0.99
In this paper we will determine the analogous statements for the geometries studied in [ref] and furthermore generalise the geometry from $n=3,4$ to all $n≥3$.

Geometries with Killing Spinors and Supersymmetric AdS Solutions · Introduction · 0.99
We take this as our starting point and analyse how the supersymmetry helps us determine the local form of the solutions, filling the gap between the 1/2-BPS bubbles of [ref] and the 1/8-BPS solutions of [ref] .

1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry · Introduction · 0.86

Uses its method or tool 2 papers

As we show in appendix A, now following the analysis of [ref] , demanding that this is a supersymmetric solution to the equations of motion, preserving supersymmetry as described in the appendix, leads to the following local description.

AdS Solutions Through Transgression · $AdS$ solutions through transgression · 0.90
Using the general results in [ref] and the form presented in [ref] we can identify the 1d R-symmetry vector as R_1d=∂_z .

M2-branes on Discs and Multi-Charged Spindles · Spindle · 0.85

Compares with it 6 papers

We recover the non-rotating case by setting $α=0$, $A=0$ and $^2C=1$.[In comparison to [ref] we identify $B_here ↔A_there$, and comparing with [ref] we identify $B_here ↔-B_there/3$.]

The Near-Horizon Geometry of Supersymmetric Rotating AdS$_4$ Black Holes in M-theory · Ansatz · 0.98
This is exactly as in the case of purely electric four-form flux [ref] .

AdS Solutions Through Transgression · $AdS$ solutions through transgression · 0.91
Note that there is a large similarity between the geometry here and the so-called GK geometries [ref] that appear in AdS$_3$ solutions of Type IIB [ref] and AdS$_2$ solutions of 11d supergravity [ref] .

On Type IIA AdS$_3$ solutions and massive GK geometries · Massive GK geometries · 0.99

Cites it as background 20 papers

The geometric dual of $a$-maximization was derived in [ref] for AdS$_5×$SE$_5$ geometries and the geometric dual of $c$-extremization was found in [ref] for so called “GK" geometries [ref] .

On Type IIA AdS$_3$ solutions and massive GK geometries · Introduction · 0.92
An interesting class of geometries in seven and nine dimensions was recently discovered in [ref] and further explored in [ref] .

Geometries with Killing Spinors and Supersymmetric AdS Solutions · Introduction · 0.89
In this section, we review AdS$_2$ solutions in $D=11$ supergravity, which were studied in [ref] by considering M2-branes wrapped on two-cycles in a Calabi-Yau 5-fold and further developed in [ref] .

Uplifting dyonic AdS$_4$ black holes on seven-dimensional Sasaki-Einstein manifolds · AdS$_2$ solutions in $D=11$ supergravity · 0.98

Discussion

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[1] [4]

O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys.\ Rept.\ 323 (2000) 183 [arXiv:hep-th/9905111]

View on Pith Pith review arXiv 2000

[2] [6]

J. M. Maldacena and C. Nunez, Towards the large N limit of pure N = 1 super Yang Mills , Phys.\ Rev.\ Lett.\ 86 , 588 (2001) [arXiv:hep-th/0008001]

View on Pith Pith review arXiv 2001

[3] [10]

D. Martelli and J. Sparks, G-structures, fluxes and calibrations in M-theory, Phys.\ Rev.\ D 68 (2003) 085014 [arXiv:hep-th/0306225]

View on Pith Pith review arXiv 2003

[4] [7]

K. Tod, All Metrics Admitting Supercovariantly Constant Spinors , Phys.\ Lett.\ B 121 (1983) 241

View on Pith 1983

[5] [1]

J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv.\ Theor.\ Math.\ Phys.\ 2 (1998) 231 [Int.\ J.\ Theor.\ Phys.\ 38 (1999) 1113] [arXiv:hep-th/9711200]

View on Pith Pith review arXiv 1998

[6] [2]

S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from non-critical string theory , Phys.\ Lett.\ B 428 (1998) 105 [arXiv:hep-th/9802109]

View on Pith Pith review arXiv 1998

[7] [3]

E. Witten, Anti-de Sitter space and holography , Adv.\ Theor.\ Math.\ Phys.\ 2 (1998) 253 [arXiv:hep-th/9802150]

View on Pith Pith review arXiv 1998

[8] [5]

I. R. Klebanov and M. J. Strassler, Supergravity and a confining gauge theory: Duality cascades and SB-resolution of naked singularities , JHEP 0008 , 052 (2000) [arXiv:hep-th/0007191]

View on Pith Pith review arXiv 2000

[9] [8]

J. P. Gauntlett, J. B. Gutowski, C. M. Hull, S. Pakis and H. S. Reall, All supersymmetric solutions of minimal supergravity in five dimensions, Class.\ Quant.\ Grav.\ 20 (2003) 4587 [arXiv:hep-th/0209114]

View on Pith Pith review arXiv 2003

[10] [9]

J. P. Gauntlett and J. B. Gutowski, All supersymmetric solutions of minimal gauged supergravity in five dimensions , Phys.\ Rev.\ D 68 , 105009 (2003) [Erratum-ibid.\ D 70 , 089901 (2004)] [arXiv:hep-th/0304064]

View on Pith Pith review arXiv 2003

[11] [11]

J. B. Gutowski, D. Martelli and H. S. Reall, All supersymmetric solutions of minimal supergravity in six dimensions , Class.\ Quant.\ Grav.\ 20 , 5049 (2003) [arXiv:hep-th/0306235]

View on Pith Pith review arXiv 2003

[12] [12]

M. M. Caldarelli and D. Klemm, All supersymmetric solutions of N = 2, D = 4 gauged supergravity , JHEP 0309 (2003) 019 [arXiv:hep-th/0307022]

View on Pith Pith review arXiv 2003

[13] [13]

U. Gran, J. Gutowski and G. Papadopoulos, The spinorial geometry of supersymmetric IIB backgrounds , Class.\ Quant.\ Grav.\ 22 , 2453 (2005) [arXiv:hep-th/0501177]

View on Pith Pith review arXiv 2005

[14] [14]

J. B. Gutowski and W. Sabra, General supersymmetric solutions of five-dimensional supergravity , JHEP 0510 (2005) 039 [arXiv:hep-th/0505185]

View on Pith Pith review arXiv 2005

[15] [15]

U. Gran, J. Gutowski, G. Papadopoulos and D. Roest, Systematics Of IIB Spinorial Geometry , Class.\ Quant.\ Grav.\ 23 , 1617 (2006) [arXiv:hep-th/0507087]

View on Pith Pith review arXiv 2006

[16] [16]

N. Kim, AdS_3 solutions of IIB supergravity from D3-branes. JHEP 0601 (2006) 094, [hep-th/0511029]

View on Pith Pith review arXiv 2006

[17] [17]

J. P. Gauntlett, N. Kim, S. Pakis and D. Waldram, Membranes wrapped on holomorphic curves , Phys.\ Rev.\ D 65 (2002) 026003 [arXiv:hep-th/0105250]

View on Pith Pith review arXiv 2002

[18] [18]

T. Z. Husain, M2-branes wrapped on holomorphic curves , JHEP 0312 , 037 (2003) [arXiv:hep-th/0211030]

View on Pith Pith review arXiv 2003

[19] [19]

N. Kim, Sasaki-Einstein manifolds and their spinorial geometry, J.\ Korean Phys.\ Soc.\ 48 (2006) 197

View on Pith 2006

[20] [20]

H. Lin, O. Lunin and J. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 0410 (2004) 025 [arXiv:hep-th/0409174]

View on Pith Pith review arXiv 2004

[21] [21]

J. P. Gauntlett, O. A. P. Mac Conamhna, T. Mateos and D. Waldram, Supersymmetric AdS(3) solutions of type IIB supergravity , arXiv:hep-th/0606221

View on Pith Pith review arXiv

[22] [22]

J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS(5) solutions of M-theory, Class.\ Quant.\ Grav.\ 21 (2004) 4335 [arXiv:hep-th/0402153]

View on Pith Pith review arXiv 2004

[23] [23]

J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S(2) x S(3), Adv.\ Theor.\ Math.\ Phys.\ 8 (2004) 711 [arXiv:hep-th/0403002]

View on Pith Pith review arXiv 2004

[24] [24]

J. P. Gauntlett and S. Pakis, The geometry of D = 11 Killing spinors , JHEP 0304 (2003) 039 [arXiv:hep-th/0212008]

View on Pith Pith review arXiv 2003

[25] [25]

J. P. Gauntlett, J. B. Gutowski and S. Pakis, The geometry of D = 11 null Killing spinors , JHEP 0312 , 049 (2003) [arXiv:hep-th/0311112]

View on Pith Pith review arXiv 2003

[26] [26]

A. Donos, A Description Of 1/4 Bps Configurations In Minimal Type IIB SUGRA , arXiv:hep-th/0606199

View on Pith Pith review arXiv