# Topics in noncommutative integrable theories and holographic brane-world cosmology

@article{Mazzanti2007TopicsIN, title={Topics in noncommutative integrable theories and holographic brane-world cosmology}, author={Liuba Mazzanti}, journal={arXiv: High Energy Physics - Theory}, year={2007} }

This thesis follows two main lines of research, both related to relevant aspects of string theory and its phenomenological/cosmological applications. We study two different generalizations of the integrable SG model to NC geometry, after discussing general properties and issues of integrable theories and NC field theories, mentioning their role in string theory. The question is whether we can obtain an integrable NC SG with factorized S matrix. Of the two models we study, the second NC SG…

## 6 Citations

### Noncommutative solitons and quasideterminants

- Mathematics
- 2014

We discuss an extension of soliton theory and integrable systems to noncommutative spaces, focusing on integrable aspects of noncommutative anti-self-dual Yang–Mills equations. We give a wide class…

### Soliton Scattering in Noncommutative Spaces

- MathematicsTheoretical and Mathematical Physics
- 2018

We discuss exact multisoliton solutions of integrable hierarchies on noncommutative space–times in various dimensions. The solutions are represented by quasideterminants in compact forms. We study…

### Soliton Scattering in Noncommutative Spaces

- MathematicsTheoretical and Mathematical Physics
- 2018

We discuss exact multisoliton solutions of integrable hierarchies on noncommutative space–times in various dimensions. The solutions are represented by quasideterminants in compact forms. We study…

### Noncommutative integrable systems and quasideterminants

- Mathematics
- 2010

We discuss extension of soliton theories and integrable systems into noncommutative spaces. In the framework of noncommutative integrable hierarchy, we give infinite conserved quantities and exact…

### Integrable Systems in Noncommutative Spaces

- Mathematics

We discuss extension of soliton theories and integrable systems into non-commutative spaces. In the framework of NC integrable hierarchy, we give infinite conserved quantities and exact soliton…

### Bäcklund transformations and the Atiyah–Ward ansatz for non-commutative anti-self-dual Yang–Mills equations

- MathematicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2009

We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equation where the gauge group is G=GL(2), and use it to generate a series of exact solutions from a simple seed…

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