On the Fermionic Frequencies of Circular Strings

Victor Mikhaylov

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On the Fermionic Frequencies of Circular Strings

Victor Mikhaylov

High Energy Physics - Theory · Submitted 9 Feb 2010

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

The authors' main claim We find that these discrepancies can be removed if one carefully takes into account the transition matrices in the spin bundle over the target space.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.94 · mentions code or data availability 0.02.

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We revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS_5xS^5 and AdS_4xCP^3, starting from the Green-Schwarz action. It has been known that the results for these frequencies obtained from the algebraic curve and from the worldsheet computations sometimes do not agree. In particular, different methods give different results for the half-integer shifts in the mode numbers of the frequencies. We find that these discrepancies can be removed if one carefully takes into account the transition matrices in the spin bundle over the target space.

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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 revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS_5xS^5 and AdS_4xCP^3, starting from the Green-Schwarz action.	contribution 0.91	0.80	0.04	asserted 0.86
s1	It has been known that the results for these frequencies obtained from the algebraic curve and from the worldsheet computations sometimes do not agree.	background 0.98	0.04	0.03	asserted 0.75
s2	In particular, different methods give different results for the half-integer shifts in the mode numbers of the frequencies.	background 0.88	0.08	0.05	asserted 0.98
s3	We find that these discrepancies can be removed if one carefully takes into account the transition matrices in the spin bundle over the target space.	result 0.95	0.95	0.89	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.92.

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arXiv listing abstract v1

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The paper

Original abstract

We revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS_5xS^5 and AdS_4xCP^3, starting from the Green-Schwarz action. It has been known that the results for these frequencies obtained from the algebraic curve and from the worldsheet computations sometimes do not agree. In particular, different methods give different results for the half-integer shifts in the mode numbers of the frequencies. We find that these discrepancies can be removed if one carefully takes into account the transition matrices in the spin bundle over the target space.

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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

Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
hep-th 2011-07 conditional novelty 6.0 of 10

The two-loop four-point amplitude in ABJM theory equals the two-loop light-like four-polygon Wilson loop up to a scheme-dependent constant, extending the amplitude/Wilson-loop duality to three dimensions.
Quantum folded string and integrability: from finite size effects to Konishi dimension
hep-th 2011-02 conditional novelty 6.0 of 10

The Konishi operator's anomalous dimension at strong coupling is derived analytically as 2λ^{1/4} - 4 + 2/λ^{1/4}, confirming earlier numerical Y-system predictions.
Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
hep-th 2009-12 conditional novelty 6.0 of 10

The authors derive TBA equations for planar ABJM from conjectured mirror Bethe equations, show the published Y-system must be modified for the momentum-carrying nodes, and match their strong-coupling solution to the q...

How the literature uses it

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

Cites it as background 1 paper

The most important examples have been circular [ref] and folded [ref] spinning strings, [Our references here are far from exhaustive, see reviews [ref] for more. ] described by one- or two-cut resolvents.

Macroscopic (and Microscopic) Massless Modes · Introduction · 0.87

What it cites · 10 sentences without a confident label

Uses the method or tool of 1 paper

Repeating the same steps as in [ref] , we arrive at the result for the frequencies that is stated in tab.[ref].

Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal · The $sl(2)$ circular string · 0.93

Compares with 1 paper

As expected, the different choice for the behaviour of the singular coordinates has resulted in the shifts of the mode numbers, compared to [ref] .

Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal · The $sl(2)$ circular string · 0.96

Cites as background 6 papers

The $sl(2)$ circular string in $AdS_4×^3$ has been considered in [ref] .

Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal · The $sl(2)$ circular string · 0.81
The $su(2)$ circular string in $AdS_4×^3$ has been considered in a recent paper [ref] .

One-Loop Corrections to Type IIA String Theory in AdS4 x CP3 · The $su(2)$ circular string · 0.83
The semiclassical frequencies have been computed for various string configurations both in $AdS_5×S^5$ and in $AdS_4×^3$, by direct expansion of the worldsheet Green-Schwarz action (see e.g. [ref] ), and using the algebraic curve technique (see e.g. [ref] ).

Spinning strings at one-loop in AdS_4 x P^3 · Introduction · 0.98

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