Професионален опит

Чл.-кор. Валентина Петкова е професор в Лабораторията по теория на елементарните частици към Института за ядрени изследвания и ядрена енергетика при Българската академия на науките

Ръководи проект, финансиран от Фонда за научни изследвания към Министерството на образованието и науката (2014–2017)

Преподавателска дейност

Чете курс (42 часа) лекции по Конформни теории в Института по Теоретична физика към Университета в Гьотинген, Германия (2009)

Публикации

1. T. Palev, V. Petkova, Representations of the symplectic algebra in the space of all polynomials of Heisenberg operators, Izv. FI ANEB XXIII (1973) 39-47 (in Russian)

2. V. Dobrev, E. Christova, V. Petkova, D. Stamenov, Conformal covariant operator product expansion of two spin 1/2 fields, Bulg. J. Phys., 1 (1) 42-57 (1974)

3. V. Dobrev, G. Mack, V. Petkova, S. Petrova, I. Todorov, On Clebsch - Gordan expansion for O(2h + 1, 1), JINR Report E2-7977, Dubna (1974)

4. V. Dobrev, V. Petkova, S. Petrova, I. Todorov, On the exceptional integer points in the representation space of the pseudo-orthogonal group O(2h + 1, 1), Trieste preprint. IC/75/1 (1975)

5. V. Dobrev, G. Mack, V. Petkova, S. Petrova, I. Todorov, On the Clebsch - Gordan expansion for the Lorentz group in n dimensions, Rep. Math. Phys. (9) 219-246 (1976)

6. V. Dobrev, V. Petkova, S. Petrova, I. Todorov, Dynamical derivation of vacuum operator product expansion in euclidean conformal quantum field theory, Phys. Rev. D (13) 887-912 (1976)

7. M. Mintchev, V. Petkova, I. Todorov, Scale and conformal covariance in quantum electrodynamics, Rep. Math. Phys. (9) 355-376 (1976)

8. V. Dobrev, G. Mack, V. Petkova, S. Petrova, I. Todorov, Harmonic analysis on the $n$-dimensional Lorentz group and its application to conformal quantum field theory, Springer, Lecture Notes in Physics, vol. 63 (1977) p. 1-280

9. I. Todorov, M. Mintchev, V. Petkova, Conformal invariance in quantum field theory, Scuola Normale Superiore, Pisa (1978) p. 1-270

10. V. Dobrev, V. Petkova, Elementary representations and intertwining operators for the group SU (4), Rep. Math. Phys. (13) 233-277 (1978)

11. G. Mack, V. Petkova, Comparison of lattice gauge theories with gauge groups ZZ2 and SU(2), Ann. Phys. (123) 442-467 (1979)

12. G. Mack, V. Petkova, Sufficient condition for confinement of static quarks by a vortex condensation mechanism, Ann. Phys. (125) 117-134 (1980)

13. G. Mack, V. Petkova, ZZ2 - monopoles in the standard SU(2) lattice gauge theory model, Zeit. Phys. C12, 177-184 (1982)

14. V. Petkova, G. Sotkov, The six-point families of exceptional representations of the conformal group, Lett. Math. Phys. (8) 217-226 (1984)

15. P. Furlan, V. Petkova, G. Sotkov, I. Todorov, Conformal quantum electrodynamics and nondecomposable representations, Riv. del Nuovo Cim., 8 (3) 1-50 (1985)

16. V. Petkova, G. Sotkov, I. Todorov, Conformal gauges and renormalized equations of motion in massless QED, Comm. Math. Phys. (97) 227-256 (1985)

17. V. Dobrev, V. Petkova, On the group-theoretical approach to extended conformal supersymmetry: classification of multiplets, Lett. Math. Phys. (9) 287-298 (1985)

18. V. Dobrev, V. Petkova, All positive energy unitary irreducible representations of the extended conformal supersymmetry, Phys. Lett. B162 (1985) 127-132

19. V. Dobrev, V. Petkova, Group-theoretical approach to extended conformal supersymmetry: function space realizations and invariant differential operators, Fortschr. Phys. (35) 537-572 (1987)

20. P. Furlan, V. Petkova, G. Sotkov, Indecomposable representations of the conformal group: a nonsingular photon - Weyl graviton system, J. Math. Phys. (28) 251-257 (1987)

21. V. Petkova, Two-dimensional (half-) integer spin conformal theories with central charge c < 1, Int. J. Mod. Phys. A3, 2945-2958 (1988) (Sofia preprint and Trieste preprint INFN /AE-87/6)

22. P. Furlan, V. Petkova, Towards solvable 4-dimensional conformal invariant theories, Mod. Phys. Lett. A4, 227-234 (1989)

23. V. Petkova, Structure constants for the (A, D) c < 1 minimal conformal theories, Phys. Lett. B225, 357-362 (1989)

24. A. Ganchev, V. Petkova, Uq(sl(2)) invariant operators and minimal theories fusion matrices, Phys. Lett. B233, 374-382 (1989)

25. P. Furlan, A. Ganchev, V. Petkova, Fusion matrices and c < 1 (quasi) local conformal theories, Int. J. Mod. Phys. A5, 2721-2735 (1990)

26. P. Furlan, A. Ganchev, V. Petkova, Quantum groups and fusion rules multiplicities, Nucl. Phys. B343, 205-227 (1990)

27. P. Furlan, A. Ganchev, V. Petkova, Remarks on the quantum group structure of the rational c < 1 conformal theories, Int. J. Mod. Phys. A6 (27) 4859-4884 (1991)

28. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, Reduction of the rational spin sl(2, CI) WZNW conformal theory, Phys. Lett. B267, 63-70 (1991)

29. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, Solutions of the Knizhnik - Zamolodchikov equation with rational isospins and the reduction to the minimal models, Nucl. Phys. B394, 665-706 (1993) hep-th/9201080

30. A. Ganchev, V. Petkova, Reduction of the Knizhnik - Zamolodchikov equation - a way of producing Virasoro singular vectors, Phys. Lett. B293, 56-66 (1992) hep-th/9207032

31. A. Ganchev, V. Petkova, Virasoro singular vectors via quantum DS reduction, Phys. Lett. B318, 77-84 (1993) hep-th/9308037

32. P. Furlan, A. Ganchev, V. Petkova, On €sl(3) reduction, quantum gauge transformations, and W3 – algebras singular vectors, Phys. Lett. B318, 85-91 (1993) hep-th/9308038

33. P. Furlan, A. Ganchev, V. Petkova, Singular vectors of W algebras via DS reduction of A (1) 2, Nucl. Phys. B431, 622-664 (1994) hep-th/9403075

34. V. Petkova, J.-B. Zuber, From CFT to graphs, Nucl. Phys. B463, 161-193 (1996) hep-th/9510175

35. P. Furlan, A. Ganchev, V. Petkova, A (1) 1 admissible representations – fusion transformations and local correlators, Nucl. Phys. B491 (3) [PM] 635-658 (1997) hep-th/9608018

36. P. Furlan, A. Ganchev, V. Petkova, Fusion rules for admissible representations of affine algebras: the case of A (1) 2, Nucl. Phys. B518 [PM] 645-668 (1998) hep-th/9709103

37. R. Behrend, P. Pearce, V. Petkova, J.-B. Zuber, On the classification of bulk and boundary conformal field theories, Phys. Lett. B444, 163-166 (1998) hep-th/9809097

38. P. Furlan, A. Ganchev, V. Petkova, An extension of the character ring of sl(3) and its quantisation, Comm. Math. Phys. (202) 701-733 (1999) math.QA/9807106

39. I. Kostov, V. Petkova, D. Serban, Determinant Formula for the Octagon Form Factor in N = 4 Supersymmetric Yang-Mills Theory, Physical Review Letters (122) 23160-1 - 23160-5 (2019)

40. I. Kostov, V. Petkova, D. Serban, The octagon as a determinant, JHEPP 11 (2019) 178

41. I. Kostov, V. Petkova, Octagon with finite bridge: free fermions and determinant identities, JHEP 06 (2021)