CoChat
Sign Up
Cited by 40Black Holes and Theoretical PhysicsAlgebraic Geometry and Number TheoryAlgebraic structures and combinatorial models

Landau-Ginzburg vacua of string, M- and F-theory at c=12

Open access
Lynker, Monika, Schimmrigk, Rolf, Wißkirchen, Andreas·1999·Nuclear Physics B
DOI 10.1016/s0550-3213(99)00204-7
Open this paper in CoChat — free accountOpen PDF

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/s0550-3213(99)00204-7

Cites

Statistics

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.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The currently largest known value of the Hodge number h^{3,1} for a Calabi-Yau 4-fold is 303148.

    “The currently largest known value of the Hodge number, h 3 , 1 , which determines the number of complex structure moduli for a Calabi-Yau 4-fold is 303148 found in [36, 37].”

    From Gravitational memory and compact extra dimensions (2022) · cites this paper as [37]

    In Results (p. 21), the paper assigns 303,148 to h^{1,1}, not h^{3,1}; it gives h^{3,1} as 252 for that fourfold. It describes the example as the configuration with the maximal degree, not as having the largest known h^{3,1}. (LLM, conf=0.87)

    Checked by a reasoning model — may be wrong.

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

No references could be resolved yet.

Research works printed but not linked: 29

  1. [1][1] C. Vafa, Evidence for F-theory, Nucl. Phys. B469 (1996) 403, hep-th/9602022 29 http://arxiv.org/abs/hep-th/9602022 · arXiv
  2. [2][2] D. Morrison and C. Vafa, Compactifications of F-theory on Calabi–Yau threefolds 1&2, Nucl. Phys. B473 (1996) 74, hep-th/9602114; ibid. B476 (1996) 437, hep-th/9603161 · arXiv
  3. [3][3] S. Sethi, C. Vafa and E. Witten, Constraints on low-dimensional string compactifications, Nucl. Phys. B480 (1996) 213, hep-th/9606122 · arXiv
  4. [4][4] I. Brunner and R. Schimmrigk, F-theory on Calabi–Yau fourfolds, Phys. Lett. B387 (1996) 750, hep-th/9606148 · arXiv
  5. [5][5] R. Donagi, A. Grassi and E. Witten, Nonperturbative superpotential with E8 symmetry, Mod. Phys. Lett. A11 (1996) 2199, hep-th/9607091 · arXiv
  6. [6][6] P. Mayr, Mirror symmetry, N=1 superpotentials and tensionless string on Calabi–Yau fourfolds, Nucl. Phys. B494 (1997) 489, hep-th/9610162 · arXiv
  7. [7][7] I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi–Yau fourfold vacua, Nucl. Phys. B498 (1997) 156, hep-th/9610195 · arXiv
  8. [8][8] A. Klemm, B. Lian, S.S. Roan and S.T. Yau, Calabi–Yau fourfolds for M-theory and F-theory compactifications, Nucl. Phys. B518 (1998) 515, hep-th/9701023 · arXiv
  9. [9][9] K. Mohri, F-theory vacua in four dimensions and toric threefolds, hep-th/9701147 · arXiv
  10. [10][10] M. Kreuzer and H. Skarke, Calabi–Yau 4-folds and toric fibrations, J. Geom. Phys. 26 (1998) 272, hep-th/9701175 · arXiv
  11. [11][11] R. Friedman, J. Morgan and E. Witten, Vector bundles and F-theory, Comm. Math. Phys. 187 (1997) 679, hep-th/9701162 · arXiv
  12. [12][12] M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, On four-dimensional compactifications of F-theory, Nucl. Phys. B505 (1997) 165, hep-th/9701165 · arXiv
  13. [13][13] G. Curio and D. Lüst, A class of N=1 dual string pairs and its modular superpotential, Int. J. Mod. Phys. A12 (1997) 5847, hep-th/9703007; B. Andreas, G. Curio and D. Lüst, N=1 dual string pairs and their massless spectra, Nucl. Phys. B507 (1997) 175, hep-th/9705174 · arXiv
  14. [14][14] M. Bershadsky, T.M. Chiang, B.R. Greene, A. Johansen and C.I. Lazaroiu, F-theory and linear sigma models, Nucl. Phys. B527 (1998) 531, hep-th/9712023 · arXiv
  15. [15][15] P. Berlund and P. Mayr, Heterotic string/F theory duality from mirror symmetry, hep-th/9811217 · arXiv
  16. [16][16] R. Blumenhagen, R. Schimmrigk and A. Wißkirchen, (0,2) mirror symmetry, Nucl.Phys. B486 (1997) 598, hep-th/9609167 · arXiv
  17. [17][17] B.R. Greene and R. Plesser, Duality in Calabi–Yau moduli space, Nucl. Phys. B338 (1990) 15 30 http://arxiv.org/abs/hep-th/9602114 http://arxiv.org/abs/hep-th/9603161 http://arxiv.org/abs/hep-th/9606122 http://arxiv.org/abs/hep-th/9606148 http://arxiv.org/abs/hep-th/9607091 http://arxiv.org/abs/hep-th/9610162 http://arxiv.org/abs/hep-th/9610195 http://arxiv.org/abs/hep-th/9701023 http://arxiv.org/abs/hep-th/9701147 http://arxiv.org/abs/hep-th/9701175 http://arxiv.org/abs/hep-th/9701162 http://arxiv.org/abs/hep-th/9701165 http://arxiv.org/abs/hep-th/9703007 http://arxiv.org/abs/hep-th/9705174 http://arxiv.org/abs/hep-th/9712023 http://arxiv.org/abs/hep-th/9811217 http://arxiv.org/abs/hep-th/9609167 · arXiv
  18. [19][19] P. Berglund and T. Hübsch, A generalized construction of mirror manifolds, Nucl. Phys. B393 (1993) 377, hep-th/9201014 · arXiv
  19. [20][20] E. Sharpe, Conjectures on (0,2) mirror symmetry, hep-th/9804066 · arXiv
  20. [21][21] C. Vafa, Extending mirror conjecture to Calabi–Yau with bundles, hep-th/9804131 · arXiv
  21. [22][22] M. Lynker and R. Schimmrigk, Conifolds and aspects of duality, Nucl. Phys. B484 (1997) 562, hep-th/9511058 · arXiv
  22. [24][24] A. Klemm and R. Schimmrigk, Landau–Ginzburg string vacua, Nucl. Phys. B411 (1994) 559, hep-th/9204060 · arXiv
  23. [25][25] M. Kreuzer and H. Skarke, No mirror symmetry in Landau–Ginzburg spectra!, Nucl. Phys. B388 (1992) 113, hep-th/9205004 · arXiv
  24. [32][32] F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer Verlag, 1954
  25. [33][33] I. Brunner, M. Lynker and R. Schimmrigk, Dualities and phase transitions for Calabi–Yau three- folds and fourfolds, Nucl. Phys. Proc. Suppl. 56B (1997) 120, hep-th/9703182 31 http://arxiv.org/abs/hep-th/9201014 http://arxiv.org/abs/hep-th/9804066 http://arxiv.org/abs/hep-th/9804131 http://arxiv.org/abs/hep-th/9511058 http://arxiv.org/abs/hep-th/9204060 http://arxiv.org/abs/hep-th/9205004 http://arxiv.org/abs/hep-th/9301042 http://arxiv.org/abs/hep-th/9301042 http://arxiv.org/abs/hep-th/9703182 · arXiv
  26. [34][34] W. Nahm, A vanishing theorem for products of symmetric and exterior products, Bonn MPI preprint, Fall 1995; F. Laytimi and W. Nahm, Vanishing theorems for products of exterior and symmetric powers, math.AG/9809064 · arXiv
  27. [35][35] A.R. Fletcher, Working with Complete Intersections, Bonn preprint MPI/89-35, 1989
  28. [37][37] S. Kachru and C. Vafa, Exact results for N=2 compactifications of heterotic strings, Nucl. Phys. B450 (1995) 69, hep-th/9505105; A. Klemm, W. Lerche and P. Mayr, K3 Fibrations and heterotic/type II string duality, Phys. Lett. B357 (1995) 313, hep-th/9506112; C. Vafa and E. Witten, Dual string pairs with N=1 and N=2 sypersymmetry in four dimensions, hep-th/950750; G. Aldazabal, A. Font, L.E. Ibáñez and F. Quevedo, Chains of N=2, D=4 heterotic-type II duals, Nucl. Phys. B461 (1996) 85, hep-th/9510093; P.S. Aspinwall and J. Louis, On the ubiquity of K3 fibrations in string duality, Phys. Lett. B369 (1996) 233, hep-th9510234; P.S. Aspinwall, Enhanced gauge symmetries and Calabi–Yau threefolds, Phys. Lett. B371 (1996) 231, hep-th/9511171 · arXiv
  29. [38][38] S. Hosono, B.H. Lian and S.-T. Yau, Calabi–Yau varieties and pencils of K3 surfaces, alg- geom/9603020 32 http://arxiv.org/abs/math/9809064 http://thew02.physik.uni-bonn.de/ http://arxiv.org/abs/hep-th/9505105 http://arxiv.org/abs/hep-th/9506112 http://arxiv.org/abs/hep-th/9510093 http://arxiv.org/abs/hep-th/9510234 http://arxiv.org/abs/hep-th/9511171 http://arxiv.org/abs/alg-geom/9603020 http://arxiv.org/abs/alg-geom/9603020 · arXiv

Cited by

Sorted by citations

Authors
Lynker, M., Schimmrigk, R., & Wißkirchen, A.
Affiliations
  • Indiana University South Bend (US)
  • University of Bonn (DE)
Corresponding author
  • Lynker, Monika
  • Schimmrigk, Rolf
  • Wißkirchen, Andreas
ORCID
Schimmrigk, Rolf
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
1999-06
Volume
550
Issue
1-2
Pages
123-150
ISSN
0550-3213 (ISSN-L)
DOI
10.1016/s0550-3213(99)00204-7
OpenAlex
W2007447117
Cited by
40
References
0
Citations by year
2026: 1 · 2024: 2 · 2022: 2 · 2021: 1 · 2020: 2 · 2019: 2 · 2018: 1 · 2017: 3 · 2016: 5 · 2015: 5 · 2014: 2 · 2013: 2
FWCI
0.84
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Nuclear Physics B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • Max Planck Institute for Plasma Physics (submittedVersion)
  • MPG.PuRe (Max Planck Society) (submittedVersion)
  • IUScholarWorks (Indiana University) (submittedVersion, cc-by-nc-nd)
  • arXiv (Cornell University)
Funders
National Science Foundation
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
Keywords
string theory vacua, M-theory, F-theory, linear sigma model, Calabi-Yau fourfolds, weighted projective spaces, hypersurfaces, mirror symmetry, non-perturbative string theory

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