Publications

Journals:

1. L.A. Lazarenko, V.A. Soroka,
   Sum rules from the field algebra for pho-meson photoproduction,
   Yad. Fiz., 9 (1969) 623-628 (in Russian).

2. L.A. Lazarenko, V.A. Soroka,
   Sum rules and field algebras,
   

   Yad. Fiz., 13 (1971) 845-850 (in Russian).

3. L.A. Lazarenko, V.A. Soroka,
   Relation between formfactors of elastic and inelastic electron scattering,
   

   Ukrain. Fiz. Zh., 17 (1972) 1353-1355 (in Russian).

4. L.A. Lazarenko, V.A. Soroka,
   Asymptotic sum rules,
   Ukrain. Fiz. Zh., 18 (1973) 529-532 (in Russian).

5. D.V. Volkov, V.A. Soroka,
   Higgs effect for Goldstone particles with spin 1/2,
   

   Pis'ma Zh. Eksp. Teor. Fiz., 18 (1973) 529-532 [JETP Lett., 18 (1973) 312-314].

6. D.V. Volkov, V.A. Soroka,
   Gauge fields for symmetry group with spinor parameters,
   

   Teor. Mat. Fiz., 20 (1974) 291-298 [Theor. Math. Phys., 20 (1974) 829-834].

7. V.P. Akulov, D.V. Volkov, V.A. Soroka,
   Gauge fields on superspaces with different holonomy groups,
   

   Pis'ma Zh. Eksp. Teor. Fiz., 22 (1975) 396-399 [JETP Lett., 22 (1975) 187-188].

8. V.P. Akulov, D.V. Volkov, V.A. Soroka,
   On general covariant theories of gauge fields on superspace,
   

   Teor. Mat. Fiz., 31 (1977) 12-22 [Theor. Math. Phys., 31 (1977) 285-292].

9. A.S. Galperin, L.B. Litov, V.A. Soroka,
   Casimir operators of USp(N) supersymmetry with central charges,
   

   J. Phys. G: Nucl. Phys., 9 (1983) 133-138.

10. V.A. Soroka,
    

    On some representations of SU(2)-extended supersymmetry with central charges,
    

    Pis'ma Zh. Eksp. Teor. Fiz., 38 (1983) 35-38 (in Russian).

11. D.V. Volkov, A.I. Pashnev, V.A. Soroka, V.I. Tkach,
    

    Hamiltonian systems with even and odd Poisson brackets; duality of their conservation laws,
    

    Pis'ma Zh. Eksp. Teor. Fiz., 44 (1986) 55-57 [JETP Lett., 44 (1986) 70-72].

12. D.V. Volkov, V.A. Soroka, V.I. Tkach,
    

    On classical and quantum Hamiltonian systems with an odd Poisson bracket,
    

    Yad. Fiz., 44 (1986) 810-820 [Sov. J. Nucl. Phys., 44 (1986) 522-528].

13. D.V. Volkov, V.A. Soroka,
    On quantization of dynamical systems with an odd Poisson bracket,
    

    Yad. Fiz., 46 (1987) 110-121 [Sov. J. Nucl. Phys., 44 (1986) 69-75].

14. D.V. Volkov, V.A. Soroka, V.I. Tkach,
    An odd Poisson bracket and spinor structure of space-time,
    

    Ukrain. Fiz. Zh., 32 (1987) 1622-1625 (in Russian).

15. D.V. Volkov, A.I. Pashnev, V.A. Soroka, V.I. Tkach,
    

    On the Hamilton dynamical systems with the even and odd Poisson brackets,
    

    Teor. Mat. Fiz., 79 (1989) 117-126 [Theor. Math. Phys., 79 (1989) 424-430].

16. V.A. Soroka,
    On Hamilton systems with even and odd Poisson brackets,
    

    Lett. Math. Phys., 17 (1989) 201-208.

17. V.A. Soroka, D.P. Sorokin, V.I. Tkach, D.V. Volkov,
    

    Twistor displacement in the equations of relativistic particles and strings,
    

    Pis'ma Zh. Eksp. Teor. Fiz., 52 (1990) 1124-1126 [JETP Lett., 52 (1990) 526-529].

18. V.A. Soroka, D.P. Sorokin, V.I. Tkach, D.V. Volkov,
    A generalized twistor dynamics of relativistic particles and strings,
    Int. J. Mod. Phys., A7 (1992) 5977-5993.

19. V.A. Soroka,
    On quantization of systems based on the odd Poisson bracket,
    

    Pis'ma Zh. Eksp. Teor. Fiz., 59 (1994) 205-210 [Errata: 60 (1994) 480] [JETP Lett., 59 (1994) 219-225].

20. V.A. Soroka,
    Square roots of Hamilton's equations for supersymmetric systems,
    

    Pis'ma Zh. Eksp. Teor. Fiz., 60 (1994) 377-381 [JETP Lett., 60 (1994) 387-391].

21. V.A. Soroka,
    On action with Grassmann-odd Lagrangian,
    

    hep-th/9507030; Yad. Fiz., 59 (1996) 1327-1330 [Phys. Atom. Nucl., 59 (1996) 1270-1274].

22. V.A. Soroka,
    Linear odd Poisson bracket on Grassmann variables,
    

    hep-th/9811252; Phys. Lett., B 451 (1999) 349-353.

23. V.A. Soroka,
    Degenerate odd Poisson bracket on Grassmann variables,
    

    hep-th/9811223; Yad. Fiz., 63 (2000) 988-990 [Phys. Atom. Nucl., 63 (2000) 915-917].

24. D.V. Soroka, V.A. Soroka, J. Wess,
    Supersymmetric model with Grassmann-odd Lagrangian,
    

    Phys. Lett., B 512 (2001) 197-202.

25. D.V. Soroka, V.A. Soroka,
    Exterior differentials in superspace and Poisson brackets,
    

    hep-th/0211280; JHEP, 0303 (2003) 001.

26. D.V. Soroka, V.A. Soroka,
    Tensor extension of the Poincar\e algebra,
    

    hep-th/0410012; Phys. Lett., B 607 (2005) 302-305.

27. S.A. Duplij, D.V. Soroka, V.A. Soroka,
    Fermionic generalization of linear gravity in centrally extended formulation,
    The Journal of Kharkov National University, no. 664 (2005), Physical series «Nuclei, Particles, Fields» Issue 2 /27/, pp. 12-16.

28. S.A. Duplij, D.V. Soroka, V.A. Soroka,
    A special fermionic generalization of linear gravity,
    J. Zhejiang Univ. SCIENCE A, 7 (2006) 629-632.

29. D.V. Soroka, V.A. Soroka,
    Multiplet with components of different masses,
    Problems of Atomic Science and Technology, 3(1) (2007) 76-78.

30. D.V. Soroka, V.A. Soroka,
    Semi-simple extension of the (super) Poincare algebra,
    hep-th/0605251; Advances in High Energy Physics, vol. 2009, Article ID 234147, 9 pages, 2009. doi:10.1155/2009/234147.

Proceedings:

1. L.A. Lazarenko, V.A. Soroka,
   Sum rules from the algebra of fields for rho-meson photoproduction,
   

   Proc. of the 1967 Annual Conf. of the Department of High Energy Physics at the Kharkov Institute of Physics and Technology, pp. 123-130, Kharkov, 1968 (in Russian).

2. L.A. Lazarenko, V.A. Soroka,
   Compton-effect on nucleon and the algebra of fields,
   

   Proc. of the 1969 Annual Conf. on High Energy Physics at the Kharkov Institute of Physics and Technology,

   Preprint KhPTI 69-12, pp. 201-203, Kharkov, 1969 (in Russian).

3. V.P. Akulov, D.V. Volkov, V.A. Soroka,
   On general covariant theories of gauge fields on superspace,
   

   Proc. of the 18 Int. Conf. on High Energy Physics, Tbilisi, 1976.

4. V.A. Soroka,
   On some representations of SU(2)-extended supersymmetry group with central charges,
   

   Proc. of the Int. Europhys. Conf. on High Energy Physics, Brighton (UK), 1983.

5. D.V. Volkov, V.A. Soroka, V.I. Tkach,
   

   On superspinor structure of homogeneous superspaces for orthosymplectic groups,
   

   Proc. of the 7 Seminar on Problems of High Energy Physics and Quantum Field Theory, v.1, pp. 48-56, Protvino, July 1984.

6. V.A. Soroka,
   Odd Poisson bracket and spinor structure of space-time,
   

   Talk given at the XX Winter School of LINR on Physics of Nuclear and Elementary Particles, Ust'- Narva, USSR, 1-12 April, 1985.

7. D.V. Volkov, V.A. Soroka, V.I. Tkach,
   

   Canonically conjugated variables of opposite Grassmann grading and spinor structure of space-time,
   

   Report at the 8 Seminar on Problems of High Energy Physics and Quantum Field Theory, Protvino, 1985 (in Russian).

8. D.V. Volkov, V.A. Soroka, V.I. Tkach,
   On dynamic systems with graded Poisson brackets,
   

   Proc. of the 3 Seminar on Group Theoretical Methods in Physics, v. 1, pp. 175-182, Moscow, ''Nauka'', 1986 (in Russian).

9. D.V. Volkov, V.A. Soroka, V.I. Tkach,
   On dynamic systems with graded Poisson brackets,
   

   Group Theoretical Methods in Physics, v. 1, pp. 349-354, Utrecht, the Netherlands, VNU Science Press, 1986.

10. D.V. Volkov, V.A. Soroka, V.I. Tkach,
    

    On representation of Witten's supersymmetric quantum mechanics on quantum antibracket basis,
    

    Proc. of the 9 Workshop on Problems of High Energy Physics and Field Theory (Protvino, USSR, July 7-13, 1986), pp. 170-174, Moscow, ''Nauka'', 1987.

11. D.V. Volkov, A.I. Pashnev, V.A. Soroka, V.I. Tkach,
    

    On Hamiltonians of dynamical systems with Poisson brackets of various Grassmann parity,
    

    Proc. of the 10 Workshop on Problems of High Energy Physics and Field Theory (Protvino, USSR, July 6-12, 1987), pp. 189-195, Moscow, ''Nauka'', 1988.

12. D.V. Soroka, V.A. Soroka,
    Equivalent Hamiltonians of various Grassmann parity,
    

    Report at the Seminar on the Theory of Representations and Group Methods in Physics, Tambov, USSR, 24-28 January, 1989.

13. D.V. Soroka, V.A. Soroka,
    Supersymmetry and square root of Hamilton dynamics,
    Ibidem.

14. V.A. Soroka,
    On square root of supersymmetric Hamilton dynamics,
    

    Proc. of the 12 Workshop on Problems of High Energy Physics and Field Theory, (Protvino, USSR, July 3-7, 1989), pp. 104-107, Moscow, ''Nauka'', 1990.

15. D.V. Soroka, V.A. Soroka,
    

    On square root of the Hamilton equations of motion for supersymmetric systems,
    Talk given at the Seminar "Supersymmetry" JINR, Dubna, USSR, 1-3 November, 1989.

16. V.A. Soroka,
    On quantization of Hamilton's systems with even and odd brackets,
    

    Proc. of the 18 Intern. Colloquium on Group Theoretical Methods in Physics, Moscow, 4-9 June 1990. In Proceedings of the Lebedev Physics Institute Academy of Sciences of the USSR v. 187. Quantum Field Theory, Quantum Mechanics and Quantum Optics. Pt. 1. Symmetries and Algebraic Structures in Physics. pp.197-200, V.V.Dodonov and V.I.Man'ko (eds.), Nova Science Publishers, Inc., New York.

17. D.V. Soroka, V.A. Soroka,
    Odd Poisson bracket and its physical applications,
    

    Talk given at the IHEP School for Young Physicists on "Particles Physics and Astrophysics: Achievements, Problems and Search", Dagomys, USSR, 24 November-1 December, 1990.

18. D.V. Soroka, V.A. Soroka,
    Odd Poisson brackets and their application,
    

    Talk given at the 1st Max Born Symposium, Institute Theoretical Physics at the University of Wroclaw, Wroclaw, Poland, October, 1991.

19. V.A. Soroka, D.P. Sorokin, V.I. Tkach, D.V. Volkov,
    On a twistor shift in particle and string dynamics,
    

    Proceedings of the 1st Max Born Symposium (Wroclaw, Poland, October, 1991). Groups and Related Topics, pp. 259-266, R. Gielerak et al. (eds.), Kluwer Academic Publishers, 1992.

20. D.V. Soroka, V.A. Soroka,
    Antibracket applications different from Batalin-Vilkovisky scheme,
    

    Talk given at the Workshop on "Problems in Supersymmetry and Quantum Groups", Dubna, Russia, 15-20 July, 1993 and at the 3 International Conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, 13-24 June, 1993.

21. D.V. Soroka, V.A. Soroka,
    Odd Poisson bracket and integrable systems,
    

    Talk given at the 5 International Conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, 10-20 June, 1994.

22. V.A. Soroka,
    Odd Poisson bracket in Hamilton's dynamics,
    

    hep-th/9503214; Proceedings of the Workshop "Variational and Local Methods in the Study of Hamiltonian Systems", pp. 192-201, ICTP, Trieste, Italy, 24-28 October, 1994.

23. D.V. Soroka, V.A. Soroka,
    Action functional with Grassmann-odd Lagrangian,
    

    Talk given at the International Workshop on "Supersymmetries and Quantum Symmetries", JINR, Dubna, USSR, 26-30 September, 1995.

24. V.A. Soroka,
    On dynamics with Grassmann-odd Lagrangian,
    

    Proceedings of the Xth International Conference "Problems of Quantum Field Theory", pp. 396-399, Alushta, Ukraine, 13-17 May, 1996.

25. V.A. Soroka,
    Remark concerning integrable Hamilton systems,
    

    Proceedings of the International D. Volkov Memorial Seminar "Supersymmetry and Quantum Field Theory", held in Kharkov, Ukraine, 5-7 January, 1997. Julius Wess, Vladimir P. Akulov (eds.). Lecture Notes in Physics, Vol. 509, pp. 252-256, Springer, 1998.

26. V.A. Soroka,
    Linear odd Poisson bracket on Grassmann algebra,
    

    math-ph/0002031; Proceedings of JINR Workshop "Supersymmetries and Quantum Symmetries" (SQS'99, 27-31 July, JINR, Dubna, Russia, 1999) pp. 424-430, Dubna, 2000.

27. D.V. Soroka, V.A. Soroka,
    Supersymmetric model with Lagrangian of diverse Grassmann parities,
    

    Talk given at the International Workshop "30 Years of Supersymmetry", Theoretical Physics Institute at the University of Minnesota, Minneapolis, Minnesota, USA, 16-27 October, 2000.

28. D.V. Soroka, V.A. Soroka, J. Wess,
    Supersymmetric model with Grassmann-odd Lagrangian,
    

    hep-th/0103236; Proceedings of the International Conference "Supersymmetries and Quantum Field Theory" (SSQFT'2000, 25-29 July, NSC KIPT, Kharkov, Ukraine, 2000), Nucl. Phys. (Proc. Suppl.), B 102&103 (2001) 264-269.

29. V.A. Soroka,
    Supersymmetry and the odd Poisson bracket,
    

    hep-th/0204018; Proceedings of the International Symposium "30 Years of Supersymmetry" (October 13-15, Theoretical Physics Institute at the University of Minnesota, Minneapolis, Minnesota, USA, 2000), Nucl. Phys. (Proc. Suppl.), B 101 (2001) 26-42.

30. D.V. Soroka, V.A. Soroka,
    Lie-Poisson (Kirillov) odd bracket on Grassmann algebra,
    

    Proceedings of the XXIII International Colloquium "Group Theoretical Methods in Physics" (GROUP 23, July 31 -- August 5, JINR, Dubna, Russia, 2000) Vol. 1, pp. 106-111, Dubna, 2002.

31. D.V. Soroka, V.A. Soroka,
    

    Exterior differentials in superspace and Poisson brackets of diverse Grassmann parities,
    

    hep-th/0109203; Proceedings of the 9th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY'01, 11-17 June, Dubna, Russia, 2001) pp. 405-408, World Scientific Publishing Co. Pte. Ltd., Singapore, 2002.

32. D.V. Soroka, V.A. Soroka,
    Generalizations of Schouten-Nijenhuis bracket,
    

    hep-th/0401088; Proceedings of the 5th International Conference on Symmetry in Nonlinear Mathematical Physics (SYMMETRY 03), Kiev, Ukraine, 23-29 Jun 2003; Proceedings of Institute of Mathematics of NAS of Ukraine Vol. 50, Part 3,

    pp. 1480-1487, 2004.

33. D.V. Soroka, V.A. Soroka,
    Generalization of Schouten-Nijenhuis bracket for superspace, International Science Conference "Karazins'ki pryrodoznavchi studii", 14-16 June 2004, pp. 181-184, Kharkiv, KNU, 2004.

34. D.V. Soroka, V.A. Soroka,
    Superspace generalizations of Schouten-Nijenhuis bracket,
    

    hep-th/0401188; Proceedings of International Workshop on Supersymmetries and Quantum Symmetries (SQS 03, Dubna, Russia, 24-29 Jul 2003) pp. 235-241, Dubna, 2004.

35. D.V. Soroka, V.A. Soroka,
    Poincar\e algebra extension with tensor generator,
    

    hep-th/0510039; Proceedings of the International Workshop "Supersymmetries and Quantum

    Symmetries" (SQS'05, JINR, Dubna, Russia, 27-31 July, 2005) pp. 425-433, Dubna, 2006.

36. D.V. Soroka, V.A. Soroka,
    Grassmann-odd Nambu bracket on Grassmann algebra,
    

    Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'07, JINR, Dubna, Russia, July 30-August 4, 2007) pp. 348-351, Dubna, 2008.

Internal reports (preprints):

1. V.A. Soroka,
   Deep inelastic electrons scattering on nucleons,
   

   Lectures of school on High Energy Physics. Preprint KhPTI 74-15 pp. 75-80, Kharkov, 1974 (in Russian).

2. V.P. Akulov, D.V. Volkov, V.A. Soroka,
   On general covariant theories of gauge fields on superspace,
   

   Preprint KhPTI 77-10, Kharkov, 1977 (in Russian).

3. A.S. Galperin, L.B. Litov, V.A. Soroka,
   

   Casimir operators of USp(N)-extended supersymmetry group with central charges,
   

   Preprint JINR P2-82-121, Dubna, 1982 (in Russian).

4. V.A. Soroka,
   On square root of Hamilton's equations for supersymmetric systems,
   

   Preprint KFTI 90-6, Moscow-Atominform-1990.

5. V.A. Soroka, D.P. Sorokin, V.I. Tkach, D.V. Volkov,
   

   On a twistor shift in particle and string dynamics,
   

   Preprint KFTI-90, Moscow-Atominform 1990 and ITP UWr 765/90, Wroclaw, Poland, 1990.

6. V.A. Soroka,
   On quantization of Hamilton's systems based on odd Poisson bracket,
   

   Preprint ITP UWr 785/91, Wroclaw, Poland, 1991.

7. V.A. Soroka,
   Gauge supersymmetry and supersymmetric systems with the odd Poisson bracket,
   

   Doctor Dissertation Theses, Preprint JINR 2-93-69, Dubna, Russia, 1993, 18 pp.

8. D.V. Soroka, V.A. Soroka,
   

   Exterior differentials in superspace and Poisson brackets of diverse Grassmann parities,
   

   Preprint SISSA/64/2001/EP.

9. V.A. Soroka,
   Starting-point of supergravity,
   

   hep-th/0111271; The report is submitted for the poster presentation at the Conference "Supergravity at 25" and for the publication in Proceedings of this Conference (1-2 December, C.N. Yang Institute for Theoretical Physics of SUNY in Stony Brook, New York, USA, 2001).

10. D.V. Soroka, V.A. Soroka,
    

    Generalizations for Schouten-Nijenhuis bracket and for differential analog of special Yang-Baxter equations,
    

    hep-th/0307185.

11. V.A. Soroka,
    Reply to Professor Peter Van Nieuwenhuizen in connection with hep-th/0408137,
    

    hep-th/0410204.

12. D.V. Soroka, V.A. Soroka,
    Multiplet containing components of different masses,
    

    hep-th/0508141.

13. D.V. Soroka, V.A. Soroka,
    Odd Nambu bracket on Grassmann algebra,
    hep-th/0608052.

14. D.V. Soroka, V.A. Soroka,
    Nambu-like odd bracket on Grassmann algebra,
    hep-th/0608102.

15. D.V. Soroka, V.A. Soroka,
    Nambu-like odd brackets on supermanifolds,
    arXiv:0811.3074 [hep-th].

16. D.V. Soroka, V.A. Soroka,
    Multiplet containing components with different masses,
    arXiv:0909.3624 [hep-th]; A contribution to the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'09) July 29 - August 3, 2009, Dubna, Russia.

Others:

1. V.A. Soroka,
   Some problems of gauge fields in supersymmetric theories,
   

   Candidate Dissertation, Kharkov, USSR, 1978, 116 pp. (in Russian).

2. V.A. Soroka,
   Some problems of gauge fields in supersymmetric theories,
   

   Candidate Dissertation Theses, Kharkov, USSR, 1978, 16 pp.

3. V.A. Soroka, D.P. Sorokin, V.I. Tkach, D.V. Volkov,
   

   On generalized twistor dynamics of relativistic particles and strings,
   

   Problems of Theoretical Physics, pp. 96-106, Kiev, ''Naukova dumka'', 1991.

4. V.A. Soroka,
   Gauge supersymmetry and supersymmetric systems with the odd Poisson bracket,

   Doctor Dissertation, Kharkov, Ukraine, 1993, 212 pp.

5. V.A. Soroka,
   The sources of supergravity,
   hep-th/0203171; in the book: G. Kane, M. Shifman (Eds.), The supersymmetric world. The beginnings of the theory, pp. 88-92, World Scientific Publishing Co. Pte. Ltd., 2000.