On the AKSZ formulation of the Poisson sigma model

Letters in Mathematical Physics

Volumn 56, Issue 2, 2001, Pages 163-179

  Cattaneo, Alberto S ^a   Felder, Giovanni ^b  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b ETH ZURICH   (Switzerland)

Author keywords

Batalin Vilkovisky (BV) formalism; Deformation quantization; QP manifolds; Topological quantum field theory

Indexed keywords

EID: 0001692169     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010963926853     Document Type: Article

References (20)

1. Alexandrov, M., Kontsevich, M., Schwarz, A. and Zaboronsky, O.: The geometry of the master equation and topological quantum field theory, Internat. J. Modern Phys. A 12 (1997), 1405-1430.
2. Batalin, I. and Vilkovisky, G.: Gauge algebra and quantization, Phys. Lett. B 102 (1981), 27; Quantization of gauge theories with linearly dependent generators, Phys. Rev. D 29 (1983), 2567.
3. Batalin, I. and Vilkovisky, G.: Gauge algebra and quantization, Phys. Lett. B 102 (1981), 27; Quantization of gauge theories with linearly dependent generators, Phys. Rev. D 29 (1983), 2567.
4. Bayen, F., Flato, M., Frønsdal, C., Lichnerowicz, A. and Sternheimer, D.: Deformation theory and quantization I, II, Ann. Phys. 111 (1978), 61-110, 111-151.
5. Cattaneo, A. S. and Felder, G.: A path integral approach to the Kontsevich quantization formula, math.QA/9902090, Comm. Math. Phys. 212 (2000), 591-611.
6. Cattaneo, A. S., Felder, G. and Tomassini, L.: From local to global deformation quantization of Poisson manifolds, math.QA/0012228.
7. Cattaneo, A. S. and Rossi, C. A.: Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops, math.QA/0010172.
8. Ikeda, N.: Two-dimensional gravity and nonlinear gauge theory, Ann. Phys. 235 (1994), 435-464.
9. Kontsevich, M.: Rozansky-Witten invariants via formal geometry, Compositio Math. 115(1) (1999), 115-127.
10. Kontsevich, M.: Deformation quantization of Poisson manifolds, q-alg/9709040.
11. Losev, A.: talk at CIRM, Luminy (1999), based on joint work in progress with L. Baulieu and N. Nekrasov.
12. Park, J.-S.: Topological open p-branes, hep-th/0012141.
13. Rozansky, L. and Witten, E.: Hyper-Kahler geometry and invariants of three-manifolds, Selecta Math. 3 (1997), 401-458.
14. Schaller, P. and Strobl, T.: Poisson structure induced (topological) field theories, Modern Phys. Lett. A 9(33) (1994), 3129-3136.
15. Schwarz, A. S.: Geometry of Batalin-Vilkovisky quantization, Comm. Math. Phys. 155 (1993), 249-260.
16. Schwarz, A. S.: Topological quantum field theories, hep-th/0011260.
17. Voisin, C.: Symétrie miroir, Panoramas et synthéses, Société Mathématique de France, Paris, 1996.
18. Witten, E.: Topological sigma-models, Comm. Math. Phys. 118 (1988), 411-449.
19. Witten, E.: Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121 (1989), 351-399.
20. Witten, E.: Chern-Simons gauge theory as a string theory, In: The Floer Memorial Volume, Progr. Math. 133, Birkhäuser, Basel, 1995, pp. 637-678