• Corpus ID: 15947421

A Remark On Field Theories On The Non-Commutative Torus

@article{Helling2001ARO,
  title={A Remark On Field Theories On The Non-Commutative Torus},
  author={Robert C. Helling},
  journal={arXiv: High Energy Physics - Theory},
  year={2001}
}
  • Robert C. Helling
  • Published 8 November 2001
  • Mathematics
  • arXiv: High Energy Physics - Theory
We investigate field theories on the non-commutative torus upon varying theta, the parameter of non-commutativity. We argue that one should think of Morita equivalence as a symmetry of algebras describing the same space rather than of theories living on different spaces (as is T-duality). Then we give arguments why physical observables depend on theta non-continuously. 
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References

SHOWING 1-10 OF 18 REFERENCES

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…

An Introduction to Noncommutative Spaces and Their Geometries

Noncommutative Spaces and Algebras of Functions.- Projective Systems of Noncommutative Lattices.- Modules as Bundles.- A Few Elements of K-Theory.- The Spectral Calculus.- Noncommutative Differential…

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…

Noncommutative field theory

We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known…

Aspects of Gauge Theory on Commutative and Noncommutative Tori

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…

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…

Tachyon condensation on a noncommutative torus

We discuss noncommutative solitons on a noncommutative torus and their application to tachyon condensation. In the large B limit, they can be exactly described by the Powers-Rieffel projection…

Noncommutative perturbative dynamics

We study the perturbative dynamics of noncommutative field theories on R d , and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at…

Exact solitons on noncommutative tori

We construct exact solitons on non-commutative tori for the type of actions arising from open string field theory. Given any projector that describes an extremum of the tachyon potential, we…

D-branes and strings as non-commutative solitons

The non-commutative geometry of a large auxiliary B-field simplifies the construction of D-branes as solitons in open string field theory. Similarly, fundamental strings are constructed as localized…