# 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} }

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…

## 12 Citations

### Symmetry, gravity and noncommutativity

- Mathematics, Physics
- 2006

We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of…

### Rank two quiver gauge theory, graded connections and noncommutative vortices

- Mathematics
- 2006

We consider equivariant dimensional reduction of Yang-Mills theory on K?hler manifolds of the form M ? P1 ? P1. This induces a rank two quiver gauge theory on M which can be formulated as a…

### Notes on exact multi-soliton solutions of noncommutative integrable hierarchies

- Mathematics
- 2007

We study exact multi-soliton solutions of integrable hierarchies on noncommutative space-times which are represented in terms of quasi-determinants of Wronski matrices by Etingof, Gelfand and Retakh.…

### Conformal twists, Yang–Baxter σ-models & holographic noncommutativity

- Physics
- 2017

Expanding upon earlier results (Araujo et al 2017 Phys. Rev. D 95 105006), we present a compendium of σ-models associated with integrable deformations of AdS5 generated by solutions to homogenous…

### Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane ?

- Physics
- 2006

In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and…

### Towards a T-dual Emergent Gravity

- Mathematics
- 2021

Darboux theorem in symplectic geometry is the crux of emergent gravity in which the gravitational metric emerges from a noncommutative U(1)-theory. Topological T-duality, on the other hand, is a…

### Virasoro Action on Pseudo-Differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems

- Mathematics
- 2009

Using Grozman’s formalism of invariant differential operators we demonstrate the derivation of N=2 Camassa-Holm equation from the action of Vect(S1|2) on the space of pseudo-differential symbols. We…

### A ug 2 01 1 Graded Hopf Maps and Fuzzy Superspheres

- Computer Science
- 2018

It is shown that fuzzy supersPheres are represented as a “superposition” of fuzzy superspheres with lower supersymmetries, and algebraic structures of fuzzy twoand four-superspheres are investigated to identify su(2|N) and su(4|N).

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