Институт теоретической физики им. Л.Д. Ландау


Российской академии наук

Александр Абрамович Белавин

Главный научный сотрудник

Доктор физ.-мат. наук

Профессор

Эл. почта:

Публикации

  1. A. Belavin, V. Belavin, Higher Equations of Motion in Boundary Liouville Field Theory, J. High Energy Phys., 1002, 010 (2010); arXiv:0911.4597.
  2. A. Belavin, C. Rim, Bulk one-point function on disk in one-matrix model, Phys. Lett. B 687 (2-3), 264-266 (2010).
  3. А.А. Белавин, Г.М. Тарнопольский, Введение в теорию струн и конформную теорию поля, Ядерная физика, 73(5), 879-908 (2010) [A.A. Belavin, G.M. Tarnopolsky, Introduction to string theory and conformal field theory, Phys. Atomic Nuclei, 73(5), 848-877 (2010)].
  4. A. Belavin, C. Rim, Bulk one-point function on disk in one-matrix model, arXiv:1001.4356.
  5. A. Belavin, V. Belavin, Four-point function in Super Liouville Gravity, J. Phys. A 42, 304003 (2009) (19pp); arXiv:0810.1023.
  6. A.A. Belavin, A.B. Zamolodchikov, On Correlation Numbers in 2D Minimal Gravity and Matrix Models, J. Phys. A 42, 304004 (2009) (18pp); arXiv:0811.0450.
  7. A. Belavin, V. Bazhanov, Y. Pugai, A. Zamolodchikov (Eds.), Liouville Gravity and Statistical Models, J. Phys. A 42, No.30 (2009).
  8. V. Bazhanov, A. Belavin, Y. Pugai, M. Tsfasman, A. Zamolodchikov, Alexei Zamolodchikov (Preface), J. Phys. A 42, 300301 (2009) (2 pp).
  9. A. Belavin, V. Belavin, A. Neveu, Al. Zamolodchikov, Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector, Nucl. Phys. B 784(3), 202-233 (2007); hep-th/0703084.
  10. A.A. Belavin, Al.B. Zamolodchikov, Higher equations of motion in the N=1 SUSY Liouville field theory, Письма в ЖЭТФ, 84 (8), 496-502 (2006) [JETP Lett., 84(8), 418-424 (2006)]; hep-th/0610316.
  11. А.А. Белавин, Ал.Б. Замолодчиков, Интегралы по пространству модулей, кольцо дискретных состояний и четырехточечная функция в минимальной лиувиллевской гравитации, ТМФ, 147(3), 339-371 (2006) [A.A. Belavin, Al.B. Zamolodchikov, Integrals over moduli spaces, ground ring, and four-point function in minimal Liouville gravity, Theor. Math. Phys., 147(3), 729-754 (2006)]; hep-th/0510214.
  12. A. Belavin, Memory sketch to V.N. Gribov's portrait, Proc. Gribov-75: Memorial Workshop on Quarks, Hadrons, and Strong Interactions, 22-24 May 2005, Budapest, Hungary. Ed. by V.N. Gribov, Y.L. Dokshitzer, P. Levai, J. Nyiri. Hackensack: World Scientific, 2006, 555 pp.
  13. Wen-Li Yang, A. Belavin, R. Sasaki, Central elements of the elliptic Zn monodromy matrix algebra at roots of unity, Nucl. Phys. B 710(3), 614-628 (2005); hep-th/0404089.
  14. A.A. Belavin, Al.B. Zamolodchikov, Moduli integrals and ground ring in minimal Liouville gravity, Письма в ЖЭТФ, 82 (1), 8-14 (2005) [JETP Lett., 82(1), 7-13 (2005)].
  15. A. Belavin, Al. Zamolodchikov (eds.), Polyakov's String: Twenty Five Years After, Proc. Int. Workshop "Polyakov's String: Twenty Five Years After", Chernogolovka, June 23-25, 2005. 74 pp.; hep-th/0510214.
  16. A. Belavin, Al.B. Zamolodchikov, Moduli integrals, ground ring and four-point function in minimal Liouville gravity, Proc. Int. Workshop "Polyakov's String: Twenty Five Years After", Chernogolovka, June 23-25, 2005. pp.16-46; hep-th/0510214.
  17. V. Pokrovsky, A. Belavin, Al. Zamolodchikov, Y. Ishimoto, Polyakov's String: Twenty Five Years After, Proc. Int. Workshop “Polyakov's String: Twenty Five Years After”, Chernogolovka, June 23-25, 2005. Edited by A. Belavin and Al. Zamolodchikov; hep-th/0510214.
  18. A. Belavin, M. Jimbo, Central elements of the elliptic Yang-Baxter algebra in roots of unity, Int. J. Mod. Phys. A 19, Suppl.2, 50-56 (2004); hep-th/0208224.
  19. A. Belavin, Centre of quantum group in roots of unity and the restriction of integrable models, J. Phys. A 37 (2), 317-322 (2004); hep-th/0305209.
  20. A.A. Belavin, V.A. Belavin, A.V. Litvinov, Y.P. Pugai, Al.B. Zamolodchikov, On correlation functions in the perturbed minimal models M2,2n+1, Nucl. Phys. B 676 (3), 587-614 (2004); hep-th/0309137.
  21. A. Belavin, E. Corrigan, Y. Pugai (eds.), Conformal Field Theory and Integrable Models. Proc. 6th Int. Workshop, Chernogolovka, Russia, September 15-21, 2002., Int. J. Mod. Phys. A 19, Suppl.2, viii,523 pp. (2004).
  22. A. Belavin, A. Litvinov, On correlation functions in perturbed minimal models, Proc. Conference "Quarks 2004".
  23. A.A. Beilinson, A.A. Belavin, V.G. Drinfeld, E.V. Frenkel, D.B. Fuchs, T. Miwa, B.L. Tsygan, A.V. Zelevinskii, Boris Feigin, Moscow Math. J., 4(3), 537–546 (2004).
  24. А.А. Белавин, Р.А. Усманов, Q-оператор и уравнение Дринфельда, ТМФ, 135(3), 370–377 (2003) [A.A. Belavin, R.A. Usmanov, Q-operator and the Drinfeld equation, Theor. Math. Phys., 135(3), 757-764 (2003)].
  25. А.А. Белавин, M. Джимбо, Центральные элементы эллиптической алгебры Янга–Бакстера в корнях из единицы, Функц. анализ и его прил., 37(2), 1-6 (2003) [A.A. Belavin, M. Jimbo, Central elements of the elliptic Yang-Baxter algebra at roots of unity, Funct. Anal. Appl., 37(2), 81-85 (2003)].
  26. А.А. Белавин, А.В. Одесский, Р.А. Усманов, Новые соотношения в алгебре Q-операторов Бакстера, ТМФ, 130(3), 383-413 (2002) [A.A. Belavin, A.V. Odesskii, R.A. Usmanov, New relations in the algebra of the Baxter Q-operators, Theor. Math. Phys., 130(3), 323-350 (2002)]; hep-th/0110126.
  27. A.A. Belavin, R.A. Usmanov, On algebra of the Baxter Q-operators, In: From integrable models to gauge theories. A volume in honor of Sergei Matinyan. Proc. Int. Workshop, Nor-Amberd, Armenia, September 2001. Ed. by V.G. Gurzadyan et al, Singapore: World Scientific. 77-97 (2002).
  28. F.C. Alcaraz, A.A. Belavin, R.A. Usmanov, Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions, J. Phys. A 34 (2), 211-226 (2001); hep-th/0007151.
  29. A.A. Belavin, S.Yu. Gubanov, B.L. Feigin, Truncation of Functional Relations in the XXZ Model, Moscow Math. J., 1(2), 145-156 (2001); hep-th/0008011.
  30. А. Белавин, С. Губанов, Редукция модели XXZ с обобщенными периодическими граничными условиями, Письма в ЖЭТФ, 73 (9), 565-569 (2001) [A.A. Belavin, S.Y. Gubanov, Reduction of the XXZ model with twisted boundary conditions, JETP Lett., 73 (9), 498-502 (2001)].
  31. А.А. Белавин, Р.А. Усманов, Минимальная решеточная модель LM(3,4) и двумерная модель Изинга с цилиндрическими граничными условиями, ТМФ, 126(1), 63-83 (2001) [A.A. Belavin, R.A. Usmanov, The minimal LM (3,4) lattice model and the two-dimensional Ising model with cylindrical boundary conditions, Theor. Math. Phys., 126(1), 48-65 (2001)].
  32. А.А. Белавин, С.Ю. Губанов, Редукция модели XXZ c обобщенными периодическими граничными условиями, ТМФ, 129(2), 207-218 (2001) [A.A. Belavin, S.Y. Gubanov, Reduction of XXZ model with generalized periodic boundary conditions, Theor. Math. Phys., 129(2), 1484-1493 (2001)]; hep-ph/0202035.
  33. А.А. Белавин, А.Г. Кулаков, Р.А. Усманов, Лекции по теоретической физике, 2-е изд., испр. и доп. - М. : МЦНМО, 2001. - 223 с. : ил. - (Современные лекционные курсы). - ISBN 5-900916-91-X.
  34. A.A. Belavin, On Fermi-Bose symmetry in conformal field theory, Turk. J. Phys., 24(3), 243-252 (2000).
  35. A. Belavin, Yu. Stroganov, Minimal models of integrable lattice theory and truncated functional equations, Phys. Lett. B 466 (2-4), 281-286 (1999); hep-th/9908050.
  36. А.А. Белавин, А.Г. Кулаков, Лекции по теоретической физике, Ижевск: РХД, 1999 - 180 с..
  37. А. Белавин, А. Кулаков, Лекции по теории точнорешаемых моделей двумерной статфизики" Часть II, издательство Независимого ун-та, Москва 1999.
  38. A.A. Belavin, V.G. Drinfeld, Triangle equations and simple Lie algebras, Classic Reviews in Mathematics and Mathematical Physics. 1. Amsterdam: Harwood Academic Publishers. vii, 91 p. (1998).
  39. А.А. Белавин, Лекции по теории точнорешаемых моделей квантовой теории поля". Часть I., Издательство МЦНМО, 1998.
  40. A.A. Belavin, A. Fring, On the fermionic quasi-particle interpretation in minimal models of conformal field theory, Phys. Lett. B 409 (1-4), 199-205 (1997); hep-th/9612049.
  41. A.A. Belavin, Introduction to the conformal field theory, Math. Phys. Stud. 19, 167-185 (1996) [Algebraic and geometric methods in mathematical physics. Proc. 1st Ukrainian-French-Romanian summer school, Kaciveli, Ukraine, Sept. 1-14, 1993. Ed. by A. Boutet de Monvel et al., Dordrecht: Kluwer Academic Publishers, 1996. ISBN 0-7923-3909-6].
  42. A. Belavin, A direct calculation of the spectrum of masses in an integrable model from the Hopf-algebra symmetry, Phys. Lett. B 283 (1-2), 67-69 (1992).
  43. A.A. Belavin, V.G. Drienfel’d, Sulutions of the classical Yang-Baxter equation for simple Kie Algebras, Adv. Ser. Math. Phys., 10 [Yang-Baxter Equation in Integrable Systems. Ed. by Michio Jimbo], 200-221, World Sci. Publ., River Edge, NJ, 1990, 728 pp. ISBN: 978-981-02-0120-3.
  44. A.A. Belavin, Dynamival Symmetry of integrable quantum systems, Adv. Ser. Math. Phys., 10 [Yang-Baxter Equation in Integrable Systems. Ed. by Michio Jimbo], 314-325, World Sci. Publ., River Edge, NJ, 1990, 728 pp. ISBN: 978-981-02-0120-3.
  45. A.A. Belavin, Quantum groups and integrable field theories, In: Teheran 1990, Proceedings, Mathematical physics, 33-42 (1990).
  46. A.A. Belavin, KdV-type equations and W-algebras, Adv. Stud. Pure Math. 19, 117-125 (1989) [Eds. Jimbo, M.; Miwa, T.; Tsuchiya, A. Integrable systems in quantum field theory and statistical mechanics. Academic Press, 1989, 682 p. ISBN 0-12-385342-7)].
  47. A.A. Belavin, A.M. Polyakov, A.B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Adv. Ser. Math. Phys., 3 [Kac-Moody and Virasoro Algebras. A Reprint Volume for Physicists. Ed. by P Goddard & D Olive], 413-460, World Sci. Publ., River Edge, NJ, 1988, 604 pp. ISBN: 978-9971-5-0419-9.
  48. A.A. Belavin, On the connection between Zamolodchikov's W-algebras and Kac-Moody algebras, In: Quantum String Theory. Proc. 2nd Yukawa Memorial Symposium, Nishinomiya, Japan, 23 Nov 1987, p. 132-135. Ed. by N. Kawamoto, T. Kugo, Springer-Verlag, 1988, ix+147 pp.
  49. A.A. Belavin, V.G. Knizhnik, Algebraic geometry and the geometry of quantum strings, Phys. Lett. B 168 (3), 201-206 (1986).
  50. A. Belavin, V. Knizhnik, A. Morozov, A. Perelomov, Two- and three-loop amplitudes in the bosonic string theory, Phys. Lett. B 177 (3-4), 324-328 (1986).
  51. А.А. Белавин, В.Г. Книжник, Комплексная геометрия и теория квантовых струн, ЖЭТФ, 91 (2), 364-390 (1986) [A.A. Belavin, V.G. Knizhnik, Complex geometry and the theory of quantum strings, Sov. Phys. JETP 64(2), 214-228 (1986)].
  52. А.А. Белавин, В.Г. Книжник, A.Ю. Морозов, A.M. Переломов, Двух- и трехпетлевые амплитуды в теории бозонных струн, Письма в ЖЭТФ, 43 (7), 319-321 (1986) [A.A. Belavin, V.G. Knizhnik, A.Yu. Morozov, A.M. Perelomov, Two- and three-loop amplitudes in boson string theory, JETP Lett., 43 (7), 411-415 (1986)].
  53. A.A. Belavin, A.M. Polyakov, A.B. Zamolodchikov, Infinite conformal symmetry of critical fluctuations in two dimensions, J. Stat. Phys., 34 (5-6), 763-774 (1984).
  54. A.A. Belavin, A.M. Polyakov, A.B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B 241 (2), 333-380 (1984).
  55. A.A. Belavin, A.M. Polyakov, A.B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, In: Conformal invariance and applications to statistical mechanics, Ed. by C. Itzykson et al., 5-52 (1984).
  56. A.A. Belavin, V.G. Drinfel’d, Triangle equations and simple Lie algebras, Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 4, 93-165 (1984).
  57. А.А. Белавин, В.Г. Дринфельд, О классическом уравнении Янга–Бакстера для простых алгебр Ли, Функц. анализ и его прил., 17(3), 69–70 (1983) [A.A. Belavin, V.G. Drinfel’d, Classical Young—Baxter equation for simple Lie algebras, Funct. Anal. Appl., 17(3), 220-221 (1983)].
  58. A.A. Belavin, A.B. Zamolodchikov, The partition function of the ZN × ZN invariant vertex lattice model, Phys. Lett. B 116 (2-3), 165-167 (1982).
  59. А.А. Белавин, В.Г. Дринфельд, О решениях классического уравнения Янга–Бакстера для простых алгебр Ли, Функц. анализ и его прил., 16(3), 1-29 (1982) [A.A. Belavin, V.G. Drinfel’d, Solutions of the classical Yang - Baxter equation for simple Lie algebras, Funct. Anal. Appl., 16(3), 159-180 (1982)].
  60. A.A. Belavin, Dynamical symmetry of integrable quantum systems, Nucl. Phys. B 180[FS2] (2), 189-200 (1981).
  61. А.А. Белавин, Скрытая симметрия интегрируемых систем, Письма в ЖЭТФ, 32 (2), 182-186 (1980) [A.A. Belavin, Hidden symmetry of integrable systems, JETP Lett., 32 (2), 169-173 (1980)].
  62. А.А. Белавин, Дискретные группы и интегрируемость квантовых систем, Функц. анализ и его прил., 14(4), 18-26 (1980) [A.A. Belavin, Discrete groups and the integrability of quantum systems, Funct. Anal. Appl., 14(4), 260-267 (1981)].
  63. A.A. Belavin, V.A. Fateev, A.S. Schwarz, Yu.S. Tyupkin, Quantum fluctuations of multi-instanton solutions, Phys. Lett. B 83 (3-4), 317-320 (1979).
  64. A.A. Belavin, Exact solution of the two-dimensional model with asymptotic freedom, Phys. Lett. B 87 (1-2), 117-121 (1979).
  65. A.A. Belavin, The inverse scattering problem and instanton construction by algebraic geometry, Sov. Sci. Rev. Sect. A: Physics reviews, vol.1, 1-22 (1979). Ed. Khalatnikov I.M., London, UK: Harwood Academic Publishers, 1979, xv+305 pp. ISBN: 3-7186-0004-8.
  66. A.A. Belavin, V.E. Zakharov, Yang-Mills equations as inverse scattering problem, Phys. Lett. B 73 (1), 53-57 (1978).
  67. A.A. Belavin, V.E. Zakharov, Yang--Mills equations as inverse scattering problem, Lect. Notes Phys., 80, 229-234 (1978) [Mathematical Problems in Theoretical Physics, Ed.G. Dell'Antonio et al. Springer, vi,438 pp, ISBN 978-3-540-08853-0].
  68. A.A. Belavin, A.M. Polyakov, Quantum fluctuations of pseudoparticles, Nucl. Phys. B 123 (3), 429-444 (1977).
  69. А.А. Белавин, В.Е. Захаров, Многомерный метод обратной задачи рассеяния и уравнения дуальности для поля Янга — Миллса, Письма в ЖЭТФ, 25(12), 603-607 (1977) [A.A. Belavin, V.E. Zakharov, Multidimensional method of the inverse scattering problem and duality equations for the Yang-Mills field, JETP Lett., 25(12), 567-570 (1977)].
  70. A.A. Belavin, D.E. Burlankov, The renormalisable theory of gravitation and the einstein equations, Phys. Lett. A 58 (1), 7-8 (1976).
  71. A.A. Belavin, A.M. Polyakov, A.S. Schwartz, Yu.S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. B 59 (1), 85-87 (1975).
  72. А.А. Белавин, А.М. Поляков, Метастабильные состояния двумерного изотропного ферромагнетика, Письма в ЖЭТФ, 22(10), 503-506 (1975) [A.A. Belavin, A.M. Polyakov, Metastable states of two-dimensional isotropic ferromagnets, JETP Lett., 22(10), 245-247 (1975)].
  73. А.А. Белавин, А.А. Мигдал, Вычисление аномальных размерностей в неабелевых калибровочных теориях, Письма в ЖЭТФ, 19 (5), 317-320 (1974) [A.A. Belavin, A.A. Migdal, Calculation of anomalous dimensionalities in non-Abelian field gauge theories, JETP Lett., 19 (5), 181-182 (1974)].
  74. A.A. Belavin, A.A. Migdal, Scale Invariance and Bootstrap in the Nonabelian Gauge Theories, Препринт ИТФ им. Ландау, янв. 1974, 10с.