Abstract
We consider inhomogeneous current states in low-dimensional systems characterized by spatial separation of phase states with ordered spin and charge degrees of freedom. We show that near the self-duality point in the Ginzburg-Landau spinor model, the inhomogeneity degree of non-Abelian states is higher than that of states with an Abelian distribution of degrees of freedom.
Similar content being viewed by others
References
P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Modern Phys., 78, 17 (2006).
E. Babaev, L. D. Faddeev, and A. J. Niemi, Phys. Rev. B, 65, 100512 (2002).
A. F. Vakulenko and L. V. Kapitanskii, Soviet Phys. Dokl., 24, 433–434 (1979); A. Kundu and Yu. P. Rybakov, J. Phys. A, 15, 269 (1982).
R. S. Ward, Nonlinearity, 12, 241 (1999).
A. P. Protogenov and V. A. Verbus, JETP Letters, 76, 53 (2002).
A. P. Protogenov and V. A. Verbus, Theor. Math. Phys., 144, 1040 (2005).
L. B. Ioffe and P. B. Wiegmann, Phys. Rev. Lett., 65, 653 (1990).
L. D. Faddeev and A. J. Niemi, Phys. Lett. B, 525, 195 (2002); T. A. Bolokhov and L. D. Faddeev, Theor. Math. Phys., 139, 679 (2004).
R. F. Picken, J. Math. Phys., 31, 616 (1990).
L. D. Faddeev, Philos. T. Roy. Soc. London A, 359, 1399 (2001).
D. Karabali, V. P. Nair, and S. Randjbar-Daemi, “Fuzzy spaces, the M(atrix) model, and the quantum Hall effect,” in: From Fields to Strings: Circumnavigating Theoretical Physics (M. Shifman, A. Vainshtein, and J. Wheater, eds.), Vol. 1, World Scientific, Singapore (2005), p. 831; arXiv: hep-th/0407007v2 (2004).
K.-I. Kondo and Y. Taira, Progr. Theoret. Phys., 104, 1189 (2000).
R. F. Picken, J. Math. Phys., 31, 616 (1990).
M. Atiyah and E. Witten, Adv. Theor. Math. Phys., 6, 1 (2002); arXiv:hep-th/0107177v3 (2001).
A. Ranicki, High-Dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monogr. Math., Vol. 36), Springer, New York (1998).
Author information
Authors and Affiliations
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 510–517, June, 2007.
Rights and permissions
About this article
Cite this article
Protogenov, A.P., Verbus, V.A. Decomposition of variables and duality in non-Abelian models. Theor Math Phys 151, 863–868 (2007). https://doi.org/10.1007/s11232-007-0071-7
Issue Date:
DOI: https://doi.org/10.1007/s11232-007-0071-7