Twisted bundle on quantum torus and BPS states in matrix theory

@article{Ho1998TwistedBO,
  title={Twisted bundle on quantum torus and BPS states in matrix theory},
  author={P. M. Ho},
  journal={Physics Letters B},
  year={1998},
  volume={434},
  pages={41-47}
}
  • P. Ho
  • Published 19 March 1998
  • Physics
  • Physics Letters B
Super Yang-Mills on the Noncomutative Torus
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
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
Quantum field theory on noncommutative spaces
Massive IIA string theory and Matrix theory compactification
U-duality of Born-Infeld on the noncommutative two-torus
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
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
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
Duality symmetry of N= 4 Yang-Mills theory on T3
D-brane Field Theory on Compact Spaces
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
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
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
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
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
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
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
...
...