New Penrose Limits and AdS/CFT

Andrea Marini; Gianluca Grignani; Marta Orselli; Troels Harmark

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New Penrose Limits and AdS/CFT

Gianluca Grignani, Troels Harmark, Andrea Marini, Marta Orselli

High Energy Physics - Theory · Submitted 30 Dec 2009

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The authors' main claim We find a new Penrose limit of AdS_5 x S^5 giving the maximally supersymmetric pp-wave background with two explicit space-like isometries.

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What the abstract itself states, as probabilities: claims first 0.23 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.90 · mentions code or data availability 0.02.

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We find a new Penrose limit of AdS_5 x S^5 giving the maximally supersymmetric pp-wave background with two explicit space-like isometries. This is an important missing piece in studying the AdS/CFT correspondence in certain subsectors. In particular whereas the Penrose limit giving one space-like isometry is useful for the SU(2) sector of N=4 SYM, this new Penrose limit is instead useful for studying the SU(2|3) and SU(1,2|3) sectors. In addition to the new Penrose limit of AdS_5 x S^5 we also find a new Penrose limit of AdS_4 x CP^3.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We find a new Penrose limit of AdS_5 x S^5 giving the maximally supersymmetric pp-wave background with two explicit space-like isometries.	result 0.78	0.97	0.77	asserted 1.00
s1	This is an important missing piece in studying the AdS/CFT correspondence in certain subsectors.	gap 0.59	0.19	0.14	asserted 1.00
s2	In particular whereas the Penrose limit giving one space-like isometry is useful for the SU(2) sector of N=4 SYM, this new Penrose limit is instead useful for studying the SU(2\|3) and SU(1,2\|3) sectors.	interpretation 0.96	0.59	0.29	asserted 0.99
s3	In addition to the new Penrose limit of AdS_5 x S^5 we also find a new Penrose limit of AdS_4 x CP^3.	result 0.79	0.97	0.13	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

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The paper

Original abstract

We find a new Penrose limit of AdS_5 x S^5 giving the maximally supersymmetric pp-wave background with two explicit space-like isometries. This is an important missing piece in studying the AdS/CFT correspondence in certain subsectors. In particular whereas the Penrose limit giving one space-like isometry is useful for the SU(2) sector of N=4 SYM, this new Penrose limit is instead useful for studying the SU(2|3) and SU(1,2|3) sectors. In addition to the new Penrose limit of AdS_5 x S^5 we also find a new Penrose limit of AdS_4 x CP^3.

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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

Aspects of Nonrelativistic Strings
hep-th 2022-02 accept novelty 1.0 of 10

Nonrelativistic string theory is presented as a self-contained, unitary, UV-complete corner of string theory linked by T-duality to the DLCQ of relativistic strings and to torsional string Newton-Cartan geometry.
Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
hep-th 2010-12 accept novelty 1.0 of 10

The chapter consolidates how planar ABJM theory and IIA strings on AdS4xCP3 both reduce to an alternating OSp(6|4) spin chain, and catalogues where the Bethe equations, S-matrix and algebraic curve differ from the AdS5 case.

How the literature uses it

8 arXiv papers cite this in 15 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 · 9 sentences without a confident label

Cites it as background 4 papers

As a warm up exercise, in this section, we review few basic facts about the plane wave backgrounds obtained by taking Penrose limit of $AdS_4×^3$ [ref] , which will be helpful in fixing the notations etc.

F-string Solution in AdS4 X CP3 PP-wave Background · The pp-wave background of $AdS_4×^3$ · 1.00
A general form of these metrics has been written in [ref] which leads to three pp-wave backgrounds by choosing appropriate parameters.

A D2-brane in the Penrose limits of AdS(4)x CP(3) · Pp-wave backgrounds · 0.86
H = H_2+ 1R H_3 +1R^2 H_4+𝒪(1/R^3) = H_2,B+H_2,F + 1R ( H_3,B+ H_3,BF) + 1R^2 ( H_4,B+ H_4,F+ H_4,BF) +𝒪(1/R^3) The quadratic Hamiltonian $H_2$ is nothing but the plane-wave free Hamiltonian where the fermionic and bosonic fields are completely decoupled [ref] .

Finite-size corrections for quantum strings on AdS_4 x CP^3 · Introduction and summary · 0.92

What it cites · 86 sentences without a confident label

Builds on 4 papers

In this section we obtain a pp-wave metric, which depends on parameters introduced through a coordinate transformation on the maximally of [ref] .

A new maximally supersymmetric background of IIB superstring theory · String theory spectrum on a rotated pp-wave background · 0.91
Now we repeat an analogous procedure and show that, by a different choice of light-cone coordinates, we obtain a generalization of the pp-wave background derived in [ref] .

Gauge theory description of compactified pp-waves · The “one flat direction” Penrose limit · 0.99
We begin the section by writing down a slightly generalized version of the previously found Penrose limits of $_5 ×S^5$ with zero and one explicit space-like isometries [ref] .

Penrose limits and maximal supersymmetry · Penrose limits and pp-waves with explicit isometries · 0.85

Uses the method or tool of 8 papers

Applying the approach of [ref] [See also [ref] for work on the winding state with the space-like isometry compactified.] to match the spectrum of operators and string states in the $SU(2)$ sector uses in an essential way the alternative Penrose limit of [ref] where the maximally supersymmetric pp-wave has an explicit isometry.

Matching the Hagedorn temperature in AdS/CFT · Introduction · 0.86
Applying the approach of [ref] [See also [ref] for work on the winding state with the space-like isometry compactified.] to match the spectrum of operators and string states in the $SU(2)$ sector uses in an essential way the alternative Penrose limit of [ref] where the maximally supersymmetric pp-wave has an explicit isometry.

Magnetic Heisenberg-chain/pp-wave correspondence · Introduction · 0.86
Applying the approach of [ref] [See also [ref] for work on the winding state with the space-like isometry compactified.] to match the spectrum of operators and string states in the $SU(2)$ sector uses in an essential way the alternative Penrose limit of [ref] where the maximally supersymmetric pp-wave has an explicit isometry.

The Hagedorn temperature in a decoupled sector of AdS/CFT · Introduction · 0.86

Compares with 2 papers

We see that by setting the parameters $η_k$'s all to zero, we precisely recover the pp-wave background derived in [ref] .

Penrose limits, supergravity and brane dynamics · The “no flat direction” Penrose limit · 0.85
We see that by setting the parameters $η_k$'s all to zero, we precisely recover the pp-wave background derived in [ref] .

Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills · The “no flat direction” Penrose limit · 0.85

Cites as background 18 papers

Taking the Penrose limit one gets the maximally supersymmetric pp-wave background [ref] where type IIB string theory can be quantized [ref] .

Penrose limits and maximal supersymmetry · Introduction · 0.81
Taking the Penrose limit one gets the maximally supersymmetric pp-wave background [ref] where type IIB string theory can be quantized [ref] .

Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background · Introduction · 0.81
Taking the Penrose limit one gets the maximally supersymmetric pp-wave background [ref] where type IIB string theory can be quantized [ref] .

A new maximally supersymmetric background of IIB superstring theory · Introduction · 0.81

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