# 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

### 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…

### 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).

### 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…

### Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Supergeometry

- PhysicsSymmetry
- 2013

This work reviews applications of the mathematics of fuzzy super-geometry in the construction of supersymmetric versions of VBS (SVBS) states, and gives a pedagogical introduction of SVBS models and their properties.

### 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…

### 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.…

### 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…

### 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…

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