# String theory and noncommutative geometry

@article{Seiberg1999StringTA, title={String theory and noncommutative geometry}, author={Nathan Seiberg and Edward Witten}, journal={Journal of High Energy Physics}, year={1999}, volume={1999}, pages={032-032} }

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 coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from this limit. Our analysis leads us to an equivalence between ordinary gauge fields and noncommutative gauge fields, which is realized by a change of variables that can be described explicitly. This…

## 4,181 Citations

### A Note on Noncommutative String Theory and its Low Energy Limit

- Physics
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The noncommutative string theory is described by embedding open string theory in a constant second rank antisymmetric Bμν field and the noncommutative gauge theory is defined by a deformed ⋆ product.…

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We deform the standard four dimensional = 1 superspace by making the odd coordinates θ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations of…

### Instanton Expansion of Noncommutative Gauge Theory in Two Dimensions

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We show that noncommutative gauge theory in two dimensions is an exactly solv-able model. A cohomological formulation of gauge theory defined on the noncom-mutative torus is used to show that its…

### Open String Field Theory on Noncommutative Space

- Mathematics, Physics
- 2000

We study Witten's open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no…

### , N = 1 2 Supersymmetry , Field Theory and String Theory

- Mathematics
- 2003

We deform the standard four dimensional N = 1 superspace by making the odd coordinates θ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations…

### Instanton Expansion of Noncommutative Gauge Theory in Two Dimensions

- Mathematics
- 2002

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…

### Instantons, fluxons, and open gauge string theory

- Mathematics, Physics
- 2004

We use the exact instanton expansion to illustrate various string characteristics of noncommutative gauge theory in two dimensions. We analyse the spectrum of the model and present some evidence in…

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