D-Branes in Noncommutative Field Theory

@article{Szabo2005DBranesIN,
  title={D-Branes in Noncommutative Field Theory},
  author={Richard J Szabo},
  journal={arXiv: High Energy Physics - Theory},
  year={2005}
}
  • R. J. Szabo
  • Published 5 December 2005
  • Physics
  • arXiv: High Energy Physics - Theory
A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory. Both scalar field theory and gauge theory on Moyal spaces are extensively studied. Instantons in Yang-Mills theory on the two-dimensional noncommutative torus and the fuzzy sphere are also constructed. In some instances the connection to D-brane physics is provided by a mapping of noncommutative… 

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References

SHOWING 1-10 OF 98 REFERENCES

K-Homology and Index Theory

  • Proc. Symp. Pure Math. 38
  • 1982

An Introduction to Noncommutative Differential Geometry and Its Physical Applications

1. Introduction 2. Differential geometry 3. Matrix geometry 4. Non-commutative geometry 5. Vector bundles 6. Cyclic homology 7. Modifications of space-time 8. Extensions of space-time.

Noncommutative tachyons and K-theory

We show that the relation between D-branes and noncommutative tachyons leads very naturally to the relation between D-branes and K-theory. We also discuss some relations between D-branes and

String theory and noncommutative geometry

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

on D-branes

This is an introduction to the physics of D-branes. Topics covered include Polchinski’s original calculation, a critical assessment of some duality checks, D-brane scattering, and effective

Noncommutative Tachyons And String Field Theory

It has been shown recently that by turning on a large noncommutativity parameter, the description of tachyon condensation in string theory can be drastically simplified. We reconsider these issues

Overview of K theory applied to strings

K-theory provides a framework for classifying Ramond-Ramond (RR) charges and fields. K-theory of manifolds has a natural extension to K-theory of noncommutative algebras, such as the algebras

Topological Charges of Noncommutative Soliton

Quantum field theory on noncommutative spaces

Instanton Expansion of Noncommutative Gauge Theory in Two Dimensions

AbstractWe show that noncommutative gauge theory in two dimensions is an exactly solvable model. A cohomological formulation of gauge theory defined on the noncommutative torus is used to show that
...