## 4 Citations

### The m-reduction in conformal field theory as the Morita equivalence on two-tori

- Mathematics
- 2008

We study the Morita equivalence for field theories on noncommutative two-tori. For rational values of the noncommutativity parameter θ (in appropriate units) we show the equivalence between an…

### MATRIX MODELS OF NONCOMMUTATIVE 3D LATTICE GAUGE THEORIES

- Mathematics
- 2004

We investigate through the Morita equivalence the problem of mapping, odd dimensional noncommutative lattice gauge theories onto suitable matrix models. We specialize our analysis to…

### Chiral anomaly and Ginsparg-Wilson relation on the noncommutative torus

- Physics
- 2002

We evaluate chiral anomaly on the noncommutative torus with the overlap Dirac operator satisfying the Ginsparg-Wilson relation in arbitrary even dimensions. Utilizing a topological argument, we show…

## References

SHOWING 1-10 OF 43 REFERENCES

### Comments on the Morita equivalence

- Mathematics
- 2000

It is known that the noncommutative Yang-Mills (YM) theory with periodical boundary conditions on a torus at a rational noncommutativity parameter value is Morita equivalent to the ordinary YM theory…

### U-duality of Born-Infeld on the noncommutative two-torus

- Mathematics
- 1998

We discuss Born-Infeld on the noncommutative two-torus as a description of compactified string theory. We show that the resulting theory, including the fluctuations, is manifestly invariant under the…

### String theory and noncommutative geometry

- Mathematics, Physics
- 1999

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally…

### Aspects of Gauge Theory on Commutative and Noncommutative Tori

- Mathematics
- 2001

We study aspects of gauge theory on tori which are a consequences of Morita equivalence. In particular we study the behavior of gauge theory on non-commutative tori for arbitrarily close rational…

### Noncommutative Geometry and Matrix Theory: Compactification on Tori

- Mathematics
- 1997

We study toroidal compactification of Matrix theory, using ideas and results of noncommutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification…

### Theta functions, modular invariance, and strings

- Mathematics
- 1986

We use Quillen's theorem and algebraic geometry to investigate the modular transformation properties of some quantities of interest in string theory. In particular, we show that the spin structure…