The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
TheAdS5×S5superstring worldsheetSmatrix and crossing symmetry
Open accessAbstract
An $S$ matrix satisfying the Yang-Baxter equation with symmetries relevant to the ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{S}^{5}$ superstring recently has been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations; however, due to the lack of conventional relativistic invariance, in this case its determination remained an open problem. In this paper we propose an algebraic way to implement crossing relations for the ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{S}^{5}$ superstring worldsheet $S$ matrix. We base our construction on a Hopf-algebraic formulation of crossing in terms of the antipode and introduce generalized rapidities living on the universal cover of the parameter space which is constructed through an auxillary, coupling-constant dependent, elliptic curve. We determine the crossing transformation and write functional equations for the scalar factor of the $S$ matrix in the generalized rapidity plane.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
The Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 11,886
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802109 · Cited by 9,307
Whittaker, E. T., & Watson, G. N. (2021) · Cambridge University Press eBooks · doi:10.1017/9781009004091 · Cited by 6,850
The Large-N Limit of Superconformal Field Theories and Supergravity
Maldacena, J. (1999) · International Journal of Theoretical Physics · doi:10.1023/a:1026654312961 · Cited by 6,704
Zamolodchikov, A. B., & Zamolodchikov, A. B. (1979) · Annals of Physics · doi:10.1016/0003-4916(79)90391-9 · Cited by 2,011
Chari, V., & Pressley, A. (1994) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,879
The Bethe-ansatz for Script N = 4 super Yang-Mills
Minahan, J. A., & Zarembo, K. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/03/013 · Cited by 1,463
Hidden symmetries of theAdS5×S5superstring
Bena, I., Polchinski, J., & Roiban, R. (2004) · Physical Review D · doi:10.1103/physrevd.69.046002 · Cited by 944
Cited by
Bern, Z., Czakon, M., Dixon, L. J., Kosower, D. A., & Smirnov, V. A. (2007) · Physical Review D · doi:10.1103/physrevd.75.085010 · Cited by 414
Exact Spectrum of Anomalous Dimensions of PlanarN=4Supersymmetric Yang-Mills Theory
Gromov, N., Kazakov, V., & Vieira, P. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.131601 · Cited by 353
Thermodynamic Bethe ansatz for the AdS5× S5mirror model
Arutyunov, G., & Frolov, S. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/05/068 · Cited by 321
Metadata
- Authors
- Janik, R. A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2006-04-18
- Volume
- 73
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2128012089
- Cited by
- 386
- References
- 32
- FWCI
- 37.08
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: TheAdS5×S5superstring worldsheetSmatrix and crossing symmetry. https://app.cochat.ai/papers/10.1103/physrevd.73.086006
- The paper
- Janik, R. A. (2006). TheAdS5×S5superstring worldsheetSmatrix and crossing symmetry. Physical Review D. https://doi.org/10.1103/physrevd.73.086006
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
