# Supergravity and large N noncommutative field theories

@article{Alishahiha1999SupergravityAL, title={Supergravity and large N noncommutative field theories}, author={Mohsen Alishahiha and Yaron Oz and M. M. Sheikh-Jabbari}, journal={Journal of High Energy Physics}, year={1999}, volume={1999}, pages={007} }

We consider systems of Dp-branes in the presence of a nonzero B field. We study the corresponding supergravity solutions in the limit where the branes worldvolume theories decouple from gravity. These provide dual descriptions of large N noncommutative field theories. We analyse the phase structure of the theories and the validity of the different description. We provide evidence that in the presence of a nonzero B field the worldvolume theory of D6 branes may decouple from gravity. We analyse… Expand

#### 139 Citations

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#### References

SHOWING 1-10 OF 53 REFERENCES

Supergravity and The Large N Limit of Theories With Sixteen Supercharges

- Physics
- 1998

We consider field theories with sixteen supersymmetries, which include U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions.… Expand

Large N Field Theories, String Theory and Gravity

- Physics
- 2000

We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Anti-de Sitter spaces and conformal field… Expand

D-branes and the noncommutative torus

- Physics
- 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… Expand

Monopoles and dyons in non-commutative geometry

- Physics
- 1999

Taking advantage of the equivalence between supersymmetric Yang-Mills theory on non-commutative spaces and the field theory limit of D3-branes in the background of NSNS 2-form field, we investigate… Expand

Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus

- Physics
- 1999

We argue that Yang-Mills theory on noncommutative torus, expressed in the Fourier modes, is described by a gauge theory in a usual commutative space, the gauge group being a generalization of the… Expand

Non-commutative open string and D-brane

- Physics
- 1999

Abstract In this paper we consider the quantization of open strings ending on D-branes with a background B field. We find that space-time coordinates of the open string end-points become… Expand

D-branes and deformation quantization

- Physics
- 1999

In this note we explain how world-volume geometries of D-branes can be reconstructed within the microscopic framework where D-branes are described through boundary conformal field theory. We extract… Expand

String theory and noncommutative geometry

- Physics
- 1999

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… Expand

The Large-N Limit of Superconformal Field Theories and Supergravity

- Physics
- 1997

We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,… Expand

A Relation Between Commutative and Noncommutative Descriptions of D-Branes

- Physics
- 2001

In string theory D-branes can be expressed as a configuration of infinitely many lower-dimensional D-branes. Using this relation, the worldvolume theory of D-branes can be regarded as the worldvolume… Expand