64 Citations
Super Yang-Mills on the Noncomutative Torus
- Mathematics
- 1998
After a brief review of matrix theory compactification leading to noncommutative supersymmetric Yang-Mills gauge theory, we present solutions for the fundamental and adjoint sections on a…
Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
- Mathematics
- 2009
We construct a class of Lie 3-algebras with an arbitrary number of pairs of generators with Lorentzian signature metric. Some examples are given and corresponding BLG models are studied. We show that…
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…
Two topics in string theory
- Mathematics
- 2000
We study two topics in string theory: consistency of D-branes and their intersections in topologically nontrivial background, and Noncommutative Geometry and “Little String Theories.” When a D-brane…
Kronecker foliation, D1 branes and Morita equivalence of noncommutative two tori
- Mathematics
- 2002
It is known that the physics of open strings on a D2-brane on a two-torus is realized from the viewpoint of deformation quantization in the Seiberg-Witten limit. We study its T-dual theory, i.e.…
References
SHOWING 1-10 OF 28 REFERENCES
D-brane Field Theory on Compact Spaces
- Mathematics, Physics
- 1996
We consider Dirichlet p-branes in type II string theory on a space which has been toroidally compactified in d dimensions. We give an explicit construction of the field theory description of this…
D-branes and the noncommutative torus
- Mathematics
- 1998
We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as D-brane world-volume theories. This gives strong evidence that they are…
IIB / M duality and longitudinal membranes in M(atrix) theory
- Mathematics
- 1998
In this paper we study duality properties of the M(atrix) theory compactified on a circle. We establish the equivalence of this theory to the strong coupling limit of type IIB string theory…
Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory
- Physics, Mathematics
- 1998
Abstract:We show that the resolution of moduli space of ideal instantons parameterizes the instantons on noncommutative ℝ4. This moduli space appears to be the Higgs branch of the theory of…
Towards a noncommutative geometric approach to matrix compactification
- Mathematics
- 1998
In this paper we study generic M(atrix) theory compactifications that are specified by a set of quotient conditions. A procedure is proposed, which both associates an algebra to each compactification…
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…
Comments on Supersymmetric Yang-Mills Theory on a Noncommutative Torus
- Mathematics
- 1998
D0-brane theory on a torus with a nonvanishing B field is embedded into a string theory in the weak coupling limit. It is shown that the usual supersymmetric Yang-Mills theory on a noncommutative…