# Non-commutative solitons and strong-weak duality

@article{Blas2005NoncommutativeSA, title={Non-commutative solitons and strong-weak duality}, author={H. Blas and Hector L. Carri{\'o}n and M. Rojas}, journal={arXiv: High Energy Physics - Theory}, year={2005} }

Some properties of the non-commutative versions of the sine-Gordon model (NCSG) and the corresponding massive Thirring theories (NCMT) are studied. Our method relies on the NC extension of integrable models and the master Lagrangian approach to deal with dual theories. The master Lagrangians turn out to be the NC versions of the so-called affine Toda model coupled to matter fields (NCATM) associated to the group GL(2), in which the Toda field belongs to certain representations of either $U(1){x…

## 7 Citations

### Noncommmutative solitons and kinks in the affine Toda model coupled to matter

- Mathematics
- 2008

Some properties of the non-commutative (NC) versions of the generalized sine-Gordon model (NCGSG) and its dual massive Thirring theory are studied. Our method relies on the NC extension of integrable…

### Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory

- Physics
- 2006

The solitons and kinks of the generalized sl(3,) sine-Gordon (GSG) model are explicitly obtained through the hybrid of the Hirota and dressing methods in which the tau functions play an important…

### Bosonized noncommutative bi-fundamental fermion and S-duality

- Physics
- 2005

We perform the path-integral bosonization of the recently proposed noncommutative massive Thirring model (NCMT1) [JHEP 0503 (2005) 037]. This model presents two types of current-current interaction…

### Abelian Toda field theories on the noncommutative plane

- Mathematics
- 2005

Generalizations of GL(n) abelian Toda and (n) abelian affine Toda field theories to the noncommutative plane are constructed. Our proposal relies on the noncommutative extension of a zero-curvature…

### About the self-dual Chern?Simons system and Toda field theories on the noncommutative plane

- Mathematics
- 2006

The relation of the noncommutative self-dual Chern–Simons (NCSDCS) system to the noncommutative generalizations of Toda and of affine Toda field theories is investigated more deeply. This paper…

### Some comments on the integrability of the noncommutative generalized massive Thirring model

- Mathematics
- 2009

Some properties of a non-commutative version of the generalized massive Thirring theory (NCGMT) are studied. We develop explicit calculations for the affine Lie algebra $gl(3)$ case. The NCGMT model…

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