Partition functions of supersymmetric gauge theories in noncommutative R{sup 2D} and their unified perspective
- Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522 (Japan)
We investigate cohomological gauge theories in noncommutative R{sup 2D}. We show that vacuum expectation values of the theories do not depend on noncommutative parameters, and the large noncommutative parameter limit is equivalent to the dimensional reduction. As a result of these facts, we show that a partition function of a cohomological theory defined in noncommutative R{sup 2D} and a partition function of a cohomological field theory in R{sup 2D+2} are equivalent if they are connected through dimensional reduction. Therefore, we find several partition functions of supersymmetric gauge theories in various dimensions are equivalent. Using this technique, we determine the partition function of the N=4 U(1) gauge theory in noncommutative R{sup 4}, where its action does not include a topological term. The result is common among (8-dim, N=2), (6-dim, N=2), (2-dim, N=8) and the IKKT matrix model given by their dimensional reduction to 0-dim.
- OSTI ID:
- 20768709
- Journal Information:
- Journal of Mathematical Physics, Vol. 47, Issue 1; Other Information: DOI: 10.1063/1.2162127; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
More on homological supersymmetric quantum mechanics
Equivariant Verlinde Formula from Fivebranes and Vortices