Some existence results for solutions to SU(3) Toda system

Chae, Dongho; Ohtsuka, Hiroshi; Suzuki, Takashi
December 2005
Calculus of Variations & Partial Differential Equations;Dec2005, Vol. 24 Issue 4, p403
Academic Journal
We study SU(3) Toda system in non-abelian relativistic self-dual gauge theory. In the range of parameters where the corresponding Trudinger-Moser inequality fails, we show the existence of the solution by a different variational formulation from Lucia-Nolasco's [15].


Related Articles

  • Chiral Ring of Sp(N) and SO(N) Supersymmetric Gauge Theory in Four Dimensions. Witten, E. // Chinese Annals of Mathematics;Oct2003, Vol. 24 Issue 4, p403 

    The chiral ring of classical supersymmetric Yang-Mills theory with gauge group Sp(N) or SO(N) is computed, extending previous work (of Cachazo, Douglas, Seiberg, and the author) for SU(N). The result is that, as has been conjectured, the ring is generated by the usual glueball superfield S ~...

  • Abelian decomposition method for G2 gauge theory. Sua, W.-C. // European Physical Journal C -- Particles & Fields;May2003, Vol. 28 Issue 1, p147 

    The method of Abelian decomposition proposed by Faddeev and Niemi is used to derive the low-energy effective lagrangian of G2 gauge theory. The G2 algebra is studied. The commutation relations among the generators of the G2 algebra are established, based on the framework of its regular maximal...

  • A simple parametrization for G2. Cacciatori, Sergio L. // Journal of Mathematical Physics;Aug2005, Vol. 46 Issue 8, p083520 

    We give a simple parametrization of the G2 group, which is consistent with the structure of G2 as a SU(3) fibration. We also explicitly compute the (bi)invariant measure, which turns out to have a simple expression.

  • Non Commutative Formulation of Gravitation. García Compeán, H.; Obregón, O.; Ramírez, C.; Sabido, M. // AIP Conference Proceedings;2003, Vol. 670 Issue 1, p281 

    Starting from the Plebanski-Ashtekar complex formulation of gravitation, we formulate a topological and a dynamical noncommutative theory of gravitation. In both cases the gauge approach based on the Seiberg-Witten map is followed.

  • Non-Abelian gauge theories, prepotentials, and Abelian differentials. Marshakov, A. V. // Theoretical & Mathematical Physics;May2009, Vol. 159 Issue 2, p598 

    We discuss particular solutions of integrable systems (starting from the well-known dispersionless KdV and Toda hierarchies) that most directly define the generating functions for the Gromov-Witten classes in terms of a rational complex curve. From the mirror theory standpoint, these generating...

  • Gauge Theory on a Discrete Noncommutative Space. Liangzhong Hu; Sant'Anna, Adonai S. // International Journal of Theoretical Physics;Apr2003, Vol. 42 Issue 4, p635 

    In this paper, we apply Connes' noncommutative geometry and the Seiberg–Witten map to a discrete noncommutative space consisting of n copies of a given noncommutative space Rm. The explicit action functional of gauge fields on this discrete noncommutative space is obtained.

  • Non-Anticommutative Deformations of Gauge Fields and Hypermultiplets in N=(1,1) Superspace. Ivanov, E. // AIP Conference Proceedings;2005, Vol. 767 Issue 1, p288 

    We overview the SO(4)×SU(2) invariant and N=(1,0) supersymmetry-preserving non-anticommutative deformations of the Euclidean N=(1,1) supersymmetric gauge theories and hypermultiplets (neutral and charged) interacting with an abelian gauge multiplet, starting from their off-shell formulation...

  • Theories with Extra Dimensions at Finite Temperature. Gruzza, Alessia // AIP Conference Proceedings;2005, Vol. 794 Issue 1, p143 

    In 5-dimensional theories on multiply-connected manifolds the fifth component of the gauge fields can be identified with the Higgs field. We consider the Hosotani mechanism on S1/Z2 orbifold with an SU(2) gauge group. When A5 gets a VEV the gauge symmetry is completely broken. The VEV is...

  • Non-Associative Gauge Field Theories. Martínez-Merino, Aldo A.; Moreno, Guillermo // AIP Conference Proceedings;2006, Vol. 809 Issue 1, p93 

    The present contribution here is intended to settle down the basic ideas for a future work concerning the Dirac equation formulated in terms of octonions when the Cayley-Dickson construction is used to build this algebra. A description of octonions and an application of them to Yang-Mills...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics