(Twisted) Toroidal Compactification of pp-Waves

Jeremy Michelson

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(Twisted) Toroidal Compactification of pp-Waves

Jeremy Michelson

High Energy Physics - Theory · Submitted 15 Mar 2002

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

The authors' main claim $T^2$ compactifications can preserve 20, 18 or 16 supercharges; $T^3$ compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges.

how it is stated · asserted 0.70 read the record →

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,522 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.20 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; show every role.

The maximally supersymmetric type IIB pp-wave is compactified on spatial circles, with and without an auxiliary rotational twist. All spatial circles of constant radius are identified. Without the twist, an S$^1$ compactification can preserve 24, 20 or 16 supercharges. $T^2$ compactifications can preserve 20, 18 or 16 supercharges; $T^3$ compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges. The worldsheet theory of this background is discussed. The T-dual and decompactified type IIA and M-theoretic solutions which preserve 24 supercharges are given. Some comments are made regarding the AdS parent and the CFT description.

background contribution method result interpretation main claim

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	The maximally supersymmetric type IIB pp-wave is compactified on spatial circles, with and without an auxiliary rotational twist.	contribution 0.85	0.81	0.10	asserted 0.99
s1	All spatial circles of constant radius are identified.	method 0.81	0.56	0.04	asserted 1.00
s2	Without the twist, an S$^1$ compactification can preserve 24, 20 or 16 supercharges.	result 1.00	0.78	0.20	asserted 0.72
s3	$T^2$ compactifications can preserve 20, 18 or 16 supercharges; $T^3$ compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges.	result 1.00	0.80	0.22	asserted 0.70
s4	The worldsheet theory of this background is discussed.	contribution 0.96	0.81	0.04	asserted 0.92
s5	The T-dual and decompactified type IIA and M-theoretic solutions which preserve 24 supercharges are given.	result 0.64	0.86	0.14	asserted 1.00
s6	Some comments are made regarding the AdS parent and the CFT description.	interpretation 0.79	0.71	0.05	asserted 0.61

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

What was examined, and what was not

sources read

arXiv listing abstract v4

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The maximally supersymmetric type IIB pp-wave is compactified on spatial circles, with and without an auxiliary rotational twist. All spatial circles of constant radius are identified. Without the twist, an S$^1$ compactification can preserve 24, 20 or 16 supercharges. $T^2$ compactifications can preserve 20, 18 or 16 supercharges; $T^3$ compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges. The worldsheet theory of this background is discussed. The T-dual and decompactified type IIA and M-theoretic solutions which preserve 24 supercharges are given. Some comments are made regarding the AdS parent and the CFT description.

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References

Forward citations

Cited by 2 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...
Nonlocal charges of T-dual strings
hep-th 2006-03 conditional novelty 6.0 of 10

In flat space, T-duality interchanges odd and even order nonlocal string charges; in the IIB pp-wave background an infinite number of independent nonlocal charges exist.

How the literature uses it

5 arXiv papers cite this in 8 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 · 6 sentences without a confident label

Builds on it 1 paper

The string frame metric ([ref]) is now modified to [The coordinates used here make a space-like isometry explicit [ref] ] ds^2 = 2dx^+dx^- - 4μ^2[(x^1)^2+⋯(x^6)^2](dx^+)^2 - 8μx^7 dx^8 dx^+ + [(dx^1)^2 + ⋯(dx^8)^2] The dilaton remains the same as ([ref]), and there is an additional 5-form field strength F_+1234 = F_+5678 = μ e^Qx^+ For $Q=0$, the matrix membrane theory has been considered in [ref] .

Holography and Cosmological Singularities · pp-wave Big Bangs · 0.81

Cites it as background 1 paper

We consider briefly the interplay between the decoupling limit [ref] and the Penrose limit of [ref] , which is a geometric limit of the $_5 ×S^5$ background giving the maximally supersymmetric pp-wave background of [ref] , in the coordinate system with a flat direction [ref] .

Matching gauge theory and string theory in a decoupling limit of AdS/CFT · Introduction · 0.83

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