Noncommutative supergeometry and duality

Letters in Mathematical Physics

Volumn 50, Issue 4, 1999, Pages 309-321

  Schwarz, Albert ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Duality; Noncommutative geometry; Supergeometry; Yang Mills theory

Indexed keywords

EID: 0012240935     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007621011698     Document Type: Article

References (16)

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3. Kastler, D.: Cyclic Cohomology within the Differential Envelope, Hermann, Paris, 1988, 184 pp.
4. Connes, A., Douglas, M. and Schwarz, A.: Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998), 003; hep-th/9711162.
5. Schwarz, A.: Morita equivalence and duality. Nuclear Phys. B 534 (1998), 720-738; hep-th/9805034.
6. Konechny, A. and Schwarz, A.: BPS states on noncommutative tori and duality, Nuclear Phys. B 550 (1999), 561-584; hep-th/9811159; Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori, Phys. Lett. 5453 (1999), 23-29; hep-th/9901077; 1/4 BPS states on noncommutative tori, J. High Energy Phys. 09 (1999), 030; hep-th/9907008.
7. Konechny, A. and Schwarz, A.: BPS states on noncommutative tori and duality, Nuclear Phys. B 550 (1999), 561-584; hep-th/9811159; Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori, Phys. Lett. 5453 (1999), 23-29; hep-th/9901077; 1/4 BPS states on noncommutative tori, J. High Energy Phys. 09 (1999), 030; hep-th/9907008.
8. Konechny, A. and Schwarz, A.: BPS states on noncommutative tori and duality, Nuclear Phys. B 550 (1999), 561-584; hep-th/9811159; Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori, Phys. Lett. 5453 (1999), 23-29; hep-th/9901077; 1/4 BPS states on noncommutative tori, J. High Energy Phys. 09 (1999), 030; hep-th/9907008.
9. 4 and (2, 0) superconformal six-dimensional theory, hep-th/9802068.
10. Seiberg, N. and Witten, E.: String theory and noncommutative geometryid, J. High Energy Phys. 9909 (1999), 032; hep-th/9908142.
11. Ho, P.-M. and Wu, Y.-S.: Noncommutative gauge theories in matrix theory, Phys. Rev. D 58 (1998), 066003; hep-th/9801147.
12. Konechny, A. and Schwarz, A.: Compactification of M(atrix) theory on noncommutative toroidal orbifolds, hep-th/9912185
13. Bass, H.: Algebraic K-Theory, Benjamin, New York, 1962.
14. Schwarz, A: Geometry of Batalin-Vilkovisky quantization, Comm. Math. Phys. 155 (1993), 249-260. Semiclassical approximation in Batalin-Vilkovisky formalism, Comm. Math. Phys. 158 (1993), 373-396; Alexandrov, M., Kontsevich, M., Schwarz, A. and Zaboronsky, O.: The geometry of master eqution and topological quantum field theory. Internat. J. Modern Phys. A 12 (1997), 1405-1429.
15. Schwarz, A: Geometry of Batalin-Vilkovisky quantization, Comm. Math. Phys. 155 (1993), 249-260. Semiclassical approximation in Batalin-Vilkovisky formalism, Comm. Math. Phys. 158 (1993), 373-396; Alexandrov, M., Kontsevich, M., Schwarz, A. and Zaboronsky, O.: The geometry of master eqution and topological quantum field theory. Internat. J. Modern Phys. A 12 (1997), 1405-1429.
16. Schwarz, A: Geometry of Batalin-Vilkovisky quantization, Comm. Math. Phys. 155 (1993), 249-260. Semiclassical approximation in Batalin-Vilkovisky formalism, Comm. Math. Phys. 158 (1993), 373-396; Alexandrov, M., Kontsevich, M., Schwarz, A. and Zaboronsky, O.: The geometry of master eqution and topological quantum field theory. Internat. J. Modern Phys. A 12 (1997), 1405-1429.