M-theory PP-waves, Penrose Limits and Supernumerary Supersymmetries

C.N. Pope; H. Lu; M. Cvetic

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M-theory PP-waves, Penrose Limits and Supernumerary Supersymmetries

M. Cvetic, H. Lu, C.N. Pope

High Energy Physics - Theory · Submitted 25 Mar 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim All the pp-waves in D=11 have 16 ``standard'' Killing spinors, but in certain cases one finds additional, or ``supernumerary,'' Killing spinors too.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.76 · compares with prior results 0.22 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We study supersymmetric pp-waves in M-theory, their dimensional reduction to D0-branes or pp-waves in type IIA, and their T-dualisation to solutions in the type IIB theory. The general class of pp-waves that we consider encompass the Penrose limits of AdS_p\times S^q with (p,q)=(4,7), (7,4), (3,3), (3,2), (2,3), (2,2), but includes also many other examples that can again lead to exactly-solvable massive strings, but which do not arise from Penrose limits. All the pp-waves in D=11 have 16 ``standard'' Killing spinors, but in certain cases one finds additional, or ``supernumerary,'' Killing spinors too. These give rise to linearly-realised supersymmetries in the string or matrix models. A focus of our investigation is on the circumstances when the Killing spinors are independent of particular coordinates (x^+ or transverse-space coordinates), since these will survive at the field-theory level in dimensional reduction or T-dualisation.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study supersymmetric pp-waves in M-theory, their dimensional reduction to D0-branes or pp-waves in type IIA, and their T-dualisation to solutions in the type IIB theory.	contribution 1.00	0.87	0.06	asserted 0.90
s1	The general class of pp-waves that we consider encompass the Penrose limits of AdS_p\times S^q with (p,q)=(4,7), (7,4), (3,3), (3,2), (2,3), (2,2), but includes also many other examples that can again lead to exactly-solvable massive strings, but which do not arise from Penrose limits.	contribution 0.84	0.51	0.09	asserted 0.97
s2	All the pp-waves in D=11 have 16 ``standard'' Killing spinors, but in certain cases one finds additional, or ``supernumerary,'' Killing spinors too.	background 0.57	0.36	0.18	asserted 0.97
s3	These give rise to linearly-realised supersymmetries in the string or matrix models.	interpretation 0.81	0.44	0.13	asserted 1.00
s4	A focus of our investigation is on the circumstances when the Killing spinors are independent of particular coordinates (x^+ or transverse-space coordinates), since these will survive at the field-theory level in dimensional reduction or T-dualisation.	contribution 0.86	0.37	0.11	asserted 0.82

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

We study supersymmetric pp-waves in M-theory, their dimensional reduction to D0-branes or pp-waves in type IIA, and their T-dualisation to solutions in the type IIB theory. The general class of pp-waves that we consider encompass the Penrose limits of AdS_p\times S^q with (p,q)=(4,7), (7,4), (3,3), (3,2), (2,3), (2,2), but includes also many other examples that can again lead to exactly-solvable massive strings, but which do not arise from Penrose limits. All the pp-waves in D=11 have 16 ``standard'' Killing spinors, but in certain cases one finds additional, or ``supernumerary,'' Killing spinors too. These give rise to linearly-realised supersymmetries in the string or matrix models. A focus of our investigation is on the circumstances when the Killing spinors are independent of particular coordinates (x^+ or transverse-space coordinates), since these will survive at the field-theory level in dimensional reduction or T-dualisation.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

All supersymmetric solutions of minimal supergravity in five dimensions
hep-th 2002-09 accept novelty 8.0 of 10

Every supersymmetric solution of minimal five-dimensional supergravity falls into one of two explicitly characterized families, and the classification yields new exact solutions including a maximally supersymmetric Gö...
Superstrings in AdS(2)xS(2)xT(6)
hep-th 2011-04 conditional novelty 6.0 of 10

The complete AdS2 x S2 x T6 superstring admits a Lax connection to quadratic order in fermions, truncates consistently to the PSU(1,1|2) supercoset, and yields a conjectured asymptotic Bethe ansatz for its massive states.
Maximally supersymmetric G-backgrounds of IIB supergravity
hep-th 2006-04 accept novelty 6.0 of 10

Maximally supersymmetric IIB supergravity backgrounds are, locally, products of lower-dimensional maximally supersymmetric solutions with special-holonomy manifolds, or pp-waves over eight-manifolds with restricted holonomy.

How the literature uses it

10 arXiv papers cite this in 10 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 · 7 sentences without a confident label

Cites it as background 3 papers

BMN limits for $AdS_p×S^q$ backgrounds and their supersymmetries were considered, e.g., in [ref] .

Semiclassical equivalence of Green-Schwarz and Pure-Spinor/Hybrid formulations of superstrings in AdS(5) x S(5) and AdS(2) x S(2) x T(6) · Expansion near BMN geodesic · 1.00
BMN (or pp-wave) limits for $AdS_2×S^2×M^6$ backgrounds and their supersymmetries were considered, e.g., in [ref] .

Superstrings in AdS(2)xS(2)xT(6) · BMN limit along geodesic in $S^2$ · 0.90
For an incomplete list discussing Penrose limits of other supergravity backgrounds see [ref] .

A Penrose limit for type IIB $AdS_6$ solutions · Introduction · 0.99

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