On maximally supersymmetric Yang-Mills theories

Nuclear Physics B

Volumn 681, Issue 3, 2004, Pages 324-350

  Movshev, M ^a   Schwarz, A ^b  

^a Institut Mittag Leffler   (Sweden)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1142291002     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.12.033     Document Type: Article

References (37)

1. Abdalla E. Forger M. Jacques M. Higher conservation laws for ten-dimensional supersymmetric Yang-Mills theories Nucl. Phys. B 307 1988 198-220
2. Alexandrov M. Schwarz A. Zaboronsky O. Kontsevich M. The geometry of the master equation and topological quantum field theory Int. J. Mod. Phys. A 12 1997 1405-1429
3. J. Backelin, A distributiveness property of augmented algebras, and some related homological results, PhD thesis, Stockholm, 1982
4. Banks T. Fischler W. Shenker S. Susskind L. M-theory as a matrix model: a conjecture Phys. Rev. D 55 1997 5112 hep-th/9610043
5. Berkovits N. Super-Poincare covariant quantization of the superstring J. High Energy Phys. 0004 2000 018
6. Berkovits N. Cohomology in the pure spinor formalism for the superstring J. High Energy Phys. 0009 2000 046
7. Berkovits N. Covariant quantization of the superparticle using pure spinors JHEP 0109 2001 016
8. Bernstein J. Leites D. How to integrate differential forms on supermanifolds Funkcional. Anal. Prilozhen. 11 1977 70-71 in Russian
9. Bezrukavnikov R. Koszul property and Frobenius splitting of Schubert varieties alg-geom/9502021
10. Claudson M. Halpern M. Supersymmetric ground state wave functions Nucl. Phys. B 250 1985 689-715
11. Connes A. Dubois-Violette M. Yang-Mills algebra Lett. Math. Phys. 61 2002 149-158
12. de Wit B. Hoppe J. Nicolai H. On the quantum mechanics of supermembranes Nucl. Phys. B 305 1988 545-581
13. Galperin A. Ivanov E. Kalitzin S. Ogievetsky V. Sokatchev E. Unconstrained off-shell N = 3 supersymmetric Yang-Mills theory Class. Quantum Grav. 2 1985 155-166
14. Grassi P.A. Policastro G. van Nieuwenhuizen P. The massless spectrum of covariant superstrings hep-th/0202123
15. Grassi P.A. Policastro G. van Nieuwenhuizen P. On the BRST cohomology of superstrings with/without pure spinors hep-th/0206216
16. Howe P. Pure spinor lines in superspace and ten-dimensional supersymmetric theories Phys. Lett. B 258 1991 141-144
17. Howe P. Phys. Lett. B 259 1991 511 Addendum
18. Howe P. Pure spinors, function superspaces and supergravity theories in ten and eleven dimensions Phys. Lett. B 273 1991 90-94
19. Ishibashi N. Kawai H. Kitazawa I. Tsuchiya A. A large-N reduced model as superstring Nucl. Phys. B 492 1997 467-491 hep-th/9612115
20. Keller B. Introduction to A-infinity algebras and modules Homology Homotopy Appl. 3 2001 1-35
21. Konechny A. Schwarz A. Theory of (k+l q)-dimensional supermanifolds Selecta Math. 2002
22. Kontsevich M. Soibelman Y. Homological mirror symmetry and torus fibrations math.SG/0011041
23. Löfwall C. On the subalgebra generated by the one-dimensional elements in the Yoneda extalgebra Lect. Notes in Math. vol. 1352 1988 291-338
24. Mac Lane S. Homology in: Die Grundlehren der mathematischen Wissenschaften vol. 114 1963 Academic Press
25. Merkulov S. Strong homotopy algebras of a Kaehler manifold math.AG/9809172
26. M. Movshev, in preparation
27. M. Movshev, Homological algebra of Yang-Mills theories, in preparation
28. M. Movshev, A. Schwarz, Algebraic approach to Yang-Mills theories, in preparation
29. M. Movshev, A. Schwarz, Deformation of theories of Yang-Mills type, in preparation
30. M. Movshev, A. Schwarz, Geometry and homological algebra of L∞- and A∞-algebras, in preparation
31. Nekrasov N. Lectures on open strings, and noncommutative gauge fields hep-th/0203109
32. Priddy S.B. Koszul resolutions Trans. Am. Math. Soc. 152 1970 39-60
33. Rosly A. Gauge fields in superspace and twistors Class. Quantum Grav. 2 1985 693-699
34. Rosly A. Schwarz A. Supersymmetry in a space with auxiliary dimensions Commun. Math. Phys. 105 1986 645-668
35. Schwarz A. Geometry of Batalin-Vilkovisky quantization Commun. Math. Phys. 155 1993 249-260
36. Schwarz A. Semiclassical approximation in Batalin-Vilkovisky formalism Commun. Math. Phys. 158 1993 373-396
37. Stasheff J.D. Homotopy associativity of H-spaces, I Trans. Am. Math. Soc. 108 1963 275