Review on special geometry and mirror symmetry for Calabi–Yau manifolds (Mini-review)

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About the authors

A. Belavin

Landau Institute for Theoretical Physics;Kharkevich Institute for Information Transmission Problems

Email: belavin@itp.ac.ru

B. Eremin

Kharkevich Institute for Information Transmission Problems;Moscow Institute of Physics and Technology;Skolkovo Institute of Science and Technology

Email: Eremin.ba@phystech.edu

S. Parkhomenko

Landau Institute for Theoretical Physics;Moscow Institute of Physics and Technology

Author for correspondence.
Email: spark@itp.ac.ru

References

  1. J. Phys. A 51(5), 055403 (2018); doi: 10.1088/1751-8121/aa9e7a; arXiv:1706.05342 [hep-th].
  2. A. Belavin, Special geometry on Calabi-Yau moduli spaces and Q-invariant Milnor rings, Gribov-90 Memorial Volume: Field Theory, Symmetry, and Related Topics. Proceedings of the Memorial Workshop Devoted to the 90th Birthday of V. N. Gribov, World Scienti c (2021), p. 407; Scopus: 2-s2.0-85115712331; ADS: -, RINTs: 47076907; arXiv:1808.05470 [hep-th].
  3. K. Aleshkin, A. Belavin, and A. Litvinov, J. Stat. Mech. 1903, 034003 (2019); doi: 10.1088/1742-5468/ab081a; arXiv:1812.00478 [hep-th].
  4. K. Aleshkin, A. Belavin, and A. Litvinov, JETP Lett. 108(10), 710 (2018); doi.org/10.1134/S0021364018220022.
  5. A. Belavin and B. Eremin, Theor. Math. Phys. 201(2), 1606 (2019); doi: 10.1134/S0040577919110060; arXiv:1907.11102 [hep-th].
  6. K. Aleshkin and A. Belavin, Pisma ZhETF 110(11), 727 (2019); arXiv:1911.11678 [hep-th].
  7. M. Belakovskiy and A. Belavin, Theor. Math. Phys. 205(2), 1439 (2020); doi: 10.1134/S0040577920110045; [arXiv:2005.06008 [hep-th]].
  8. A. Belavin and B. Eremin, JETP Lett. 112(6), 370 (2020); doi: 10.1134/S002136402018006X.
  9. A. Belavin and B. Eremin, Nucl. Phys. B 961, 115271 (2020); doi: 10.1016/j.nuclphysb.2020.115271; arXiv:2010.07687 [hep-th].
  10. A. Belavin, V. Belavin, and G. Koshevoy, Lett. Math. Phys. 111(4), 93 (2021); doi: 10.1007/s11005-021-01439-5; arXiv:2012.03320 [hep-th].
  11. A. A. Belavin and B. A. Eremin, Theor. Math. Phys. 213(1), 1441 (2022); Scopus: 2-s2.0-85140466363; ADS: 2022TMP 213.1441B; InSpire: 2165082; MathSciNet: 4538864; EDN: RMAMNJ.
  12. A. A. Belavin and S. E. Parkhomenko, Theoret. Math. Phys. 209(1), 1367 (2021); WoS: 000708924700004; Scopus: 2-s2.0-85117611165; ADS: 2021TMP 209.1367B; MathSciNet: 4324113.
  13. A. Belavin, V. Belavin, and S. Parkhomenko, Nucl. Phys. B 982, 115891 (2022); doi: 10.1016/j.nuclphysb.2022.115891; arXiv:2206.03472 [hep-th].
  14. A. Belavin and D. Gepner, Nucl. Phys. B 994, 116313 (2023); doi: 10.1016/j.nuclphysb.2023.116313; arXiv:2306.06667 [hep-th].

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