Publications

39. Peter Koroteev, Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin, Quantum K-theory of Quiver Varieties and Many-Body Systems arXiv:1705.10419
38. Martin Rocek, Anton M. Zeitlin, Homotopy algebras of differential (super)forms in three and four dimensions arXiv:1702.03565
37. Petr P. Pushkar, Andrey Smirnov, Anton M. Zeitlin, Baxter Q-operator from quantum K-theory arXiv:1612.08723
36. Ivan C.H. Ip, Robert C. Penner, Anton M. Zeitlin, N=2 Super-Teichmüller Theory arXiv:1605.08094
35. R.C. Penner, Anton M. Zeitlin, Decorated Super-Teichmüller Space
arXiv:1509.06302
IHES: M-15-21
34. Anton M. Zeitlin, On the unitary representations of the affine $ax+b$-group, $\widehat{sl}(2,\mathbb{R})$ and their relatives
Proc. Symp. Pure Math., AMS, Volume 92 "Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics", pp. 325-355, 2016
arXiv:1509.06072
33. Anton M. Zeitlin, Sigma-models and homotopy algebras
Journal of Physics CS, Volume 597, 012074, 2015
(doi: 10.1088/1742-6596/597/1/012074)
arXiv:1509.06067
32. Anton M. Zeitlin, Beltrami-Courant Differentials and $G_\infty$-algebras
Advances in Theoretical and Mathematical Physics, Volume 19, Number 6, pp. 1249-1275, 2015
(doi: 10.4310/ATMP.2015.v19.n6.a3)
arXiv:1404.3069
IHES: M-14-19
31. Ivan Chi-Ho Ip, Anton M. Zeitlin, Q-operator and fusion relations for Cq(2)(2)
Letters in Mathematical Physics, Volume 104, Issue 8, pp. 1019-1043, 2014
(doi: 10.1007/s11005-014-0702-5)
arXiv:1312.4063
MPIM: 2014-8
30. Anton M. Zeitlin, Superopers on Supercurves
Letters in Mathematical Physics, Volume 105, Issue 2, pp. 149-167, 2015
(doi: 10.1007/s11005-014-0735-9)
arXiv:1311.5997
MPIM: 2014-7
29. Ivan Chi-Ho Ip, Anton M. Zeitlin, Supersymmetry and the Modular Double
Contemporary Mathematics, Volume 623, pp. 81-97, 2014
(doi: 10.1090/conm/623/12459)
arXiv:1304.6787
28. Anton M. Zeitlin, On higher order Leibniz identities in TCFT
Contemporary Mathematics, Volume 623, pp. 267-280, 2014
(doi: 10.1090/conm/623/12458)
arXiv:1301.6382
27. Igor B. Frenkel, Anton M. Zeitlin, On the continuous series for $\widehat{sl}(2,\mathbb{R})$
Communications in Mathematical Physics, Volume 326, Issue 1, pp. 145-165, 2014
(doi: 10.1007/s00220-013-1832-9)
arXiv:1210.2135
26. Igor B. Frenkel, Anton M. Zeitlin, Quantum Group GLq(2) and Quantum Laplace Operator via Semi-infinite Cohomology
Journal of Noncommutative Geometry, Volume 7, Issue 4, pp. 1007-1026, 2013
(doi: 10.4171/JNCG/142)
arXiv:1110.1696
25. Anton M. Zeitlin, Homotopy Relations for Topological VOA,
International Journal of Mathematics (IJM), Volume 23, Issue 1, 1250012, 2012
(doi: 10.1142/S0129167X11007550)
arXiv:1104.5038
24. Anton M. Zeitlin, Unitary representations of a loop ax+b group, Wiener measure and Gamma-function,
Journal of Functional Analysis, Volume 263, Issue 3, pp. 529-548, 2012
(doi: 10.1016/j.jfa.2012.05.004)
arXiv:1012.4826
23. Anton M. Zeitlin, Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroid and Gauge Theory
Communications in Mathematical Physics, Volume 303, Number 2, pp. 331-359, 2011
(doi: 10.1007/s00220-011-1206-0)
arXiv:0910.3652
22. Anton M. Zeitlin, Beta-gamma systems and the deformations of the BRST operator,
Journal of Physics A: Mathematical and Theoretical, Volume 42, Number 35, 355401, 2009
(doi: 10.1088/1751-8113/42/35/355401)
arXiv:0904.2234
21. Anton M. Zeitlin, Conformal Field Theory and Algebraic Structure of Gauge Theory,
Journal of High Energy Physics, JHEP03(2010)056, 2010
(doi: 10.1007/JHEP03(2010)056)
arXiv:0812.1840
20. Igor B. Frenkel, Anton M. Zeitlin, Quantum Group as Semi-infinite Cohomology,
Communications in Mathematical Physics, Volume 297, Number 3, pp. 687-732, 2010
(doi: 10.1007/s00220-010-1055-2)
arXiv:0812.1620
19. Anton M. Zeitlin, SFT-inspired Algebraic Structures in Gauge Theories,
Journal of Mathematical Physics (JMP), 50, Issue 6, 063501, 2009
(doi: 10.1063/1.3142964)
arXiv:0711.3843
18. Anton M. Zeitlin, BV Yang-Mills as a Homotopy Chern-Simons via SFT,
International Journal of Modern Physics A (IJMPA), Volume 24, Issue 7, pp. 1309 - 1331, 2009
(doi: 10.1142/S0217751X09043031)
arXiv:0709.1411
17. Anton M. Zeitlin, Homotopy Lie Superalgebra in Yang-Mills Theory,
Journal of High Energy Physics, JHEP09(2007)068, 2007
(doi: 10.1088/1126-6708/2007/09/068)
arXiv:0708.1773
16. Anton M. Zeitlin, Formal Maurer-Cartan Structures: from CFT to Classical Field Equations,
Journal of High Energy Physics, JHEP12(2007)098, 2007
(doi: 10.1088/1126-6708/2007/12/098)
arXiv:0708.0955
15. Anton M. Zeitlin, Perturbed Beta-Gamma Systems and Complex Geometry,
Nuclear Physics B, Volume 794, Issue 3[PM], pp. 381-401, 2008
(doi: 10.1016/j.nuclphysb.2007.09.002)
arXiv:0708.0682
14. Anton M. Zeitlin, BRST, Generalized Maurer-Cartan Equations and CFT,
Nuclear Physics B, Volume 759, Issue 3, pp. 370-398, 2006
(doi: 10.1016/j.nuclphysb.2006.10.009)
hep-th/0610208
13. Andrei S. Losev, Andrei Marshakov, Anton M. Zeitlin, On First Order Formalism in String Theory,
Physics Letters B, Volume 633/2-3 pp. 375-381, 2006
(doi: 10.1016/j.physletb.2005.12.010)
hep-th/0510065
12. A.M. Zeitlin, Quantization of N=2 supersymmetric KdV Hierarchy,
Theoretical and Mathematical Physics, v. 147, n. 2, pp. 303-314, 2006 (in russian);
(doi: 10.4213/tmf1965)
Engl. transl.: Theoretical and Mathematical Physics, v. 147, n. 2, pp. 698-708, 2006
(doi: 10.1007/s11232-006-0071-z)
hep-th/0606129
11. Petr P. Kulish, Anton M. Zeitlin, Quantization of N=1 and N=2 SUSY Korteweg-de Vries models,
in "Problems of Mathematical Physics and Applied Mathematics", Ioffe Physico-Technical Institute (Сб. "Вопросы математической физики и прикладной математики", Физико-технический институт им. А.Ф. Иоффе), pp. 80-100, St. Petersburg, 2005
hep-th/0601019
10. Petr P. Kulish, Anton M. Zeitlin, Quantum supersymmetric Toda-mKdV hierarchies,
Nuclear Physics B, Volume 720, Issue 3, pp. 289-306, 2005
(doi: 10.1016/j.nuclphysb.2005.06.002)
hep-th/0506027
9. Petr P. Kulish, Anton M. Zeitlin, Superconformal field theory and SUSY N=1 KdV hierarchy II: the Q-operator,
Nuclear Physics B, Volume 709, Issue 3, pp. 578-591, 2005 (pdf)
(doi: 10.1016/j.nuclphysb.2004.12.031)
hep-th/0501019
8. Anton M. Zeitlin, Integrability of Superconformal Field Theory and SUSY N=1 KdV,
in String Theory: from Gauge Interactions to Cosmology, NATO Advanced Study Institute, Proc. of Cargèse Summer School, 2004, NATO Science Series II: Mathematics, Physics and Chemistry, v. 208, 393-396, Springer, 2005 (pdf)
(doi: 10.1007/1-4020-3733-3_29)
hep-th/0501150
7. Petr P. Kulish, Anton M. Zeitlin, Quantum inverse scattering method and (super)conformal field theory,
Theoretical and Mathematical Physics, v. 142, n. 2, pp. 252-264, 2005 (in russian);
(doi: 10.4213/tmf1779)
Engl. transl.: Theoretical and Mathematical Physics, v. 142, n. 2, pp. 211-221, 2005 (pdf)
(doi: 10.1007/s11232-005-0054-5)
hep-th/0501018
6. Petr P. Kulish, Anton M. Zeitlin, Superconformal Field Theory and SUSY N=1 KdV Hierarchy I: Vertex Operators and Yang-Baxter Equation,
Physics Letters B, Volume 597, Issue 2, pp. 229-236, 2004
(doi: 10.1016/j.physletb.2004.07.019)
hep-th/0407154
5. Petr P. Kulish, Anton M. Zeitlin, Integrable Structure of Superconformal Field Theory and Quantum super-KdV Theory,
Physics Letters B, Volume 581, Issues 1-2, pp. 125-132, 2004
(doi: 10.1016/j.physletb.2003.12.008)
hep-th/0312159
4. Petr P. Kulish, Anton M. Zeitlin, Quantization of integrable models with hidden symmetries: super-KdV equation,
Journal of Modern Optics, Volume 51, Numbers 6-7, pp. 1107 - 1108, 2004 (pdf)
(doi: 10.1080/09500340408233643)
 
3. Petr P. Kulish, Anton M. Zeitlin, Super-KdV equation: classical solutions and quantization,
Proceedings in Applied Mathematics and Mechanics (PAMM), Volume 4, Issue 1, pp. 576 - 577, Wiley InterScience, 2004
(doi: 10.1002/pamm.200410269)
 
2. Petr P. Kulish, Anton M. Zeitlin, Superconformal field theory and quantum inverse scattering method, in Symmetries in Gravity and Field Theory (eds. by V. Aldaya, J.M. Cerveró, Y.P. Garcia), Salamanca University Press, pp. 435-447, 2004 (ps, pdf)  
1. Petr P. Kulish, Anton M. Zeitlin, Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation
Zapiski Nauchnih Seminarov POMI (Steklov Institute), vol. 291, 185-205 (ps.gz), 2002 (in russian);
Engl. transl. : Journal of Mathematical Sciences (Springer/Kluwer), v. 125, n. 2, 203-214, 2005
(doi: 10.1023/B:JOTH.0000049572.41993.9f)
hep-th/0312158