On integrable boundaries in the 2 dimensional $O(N)$ $\sigma$-models

Autor:	Aniceto, Ines, Bajnok, Zoltan, Gombor, Tamas, Kim, Minkyoo, Palla, Laszlo
Rok vydání:	2017
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/aa8205
Popis:	We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear O(N) $\sigma$-models. We do it at various levels: classically, by demanding the existence of infinitely many conserved local charges and also by constructing the double row transfer matrix from the Lax connection, which leads to the spectral curve formulation of the problem; at the quantum level, we describe the solutions of the boundary Yang-Baxter equation and derive the Bethe-Yang equations. We then show how to connect the thermodynamic limit of the boundary Bethe-Yang equations to the spectral curve. Comment: Dedicated to the memory of Petr Kulish, 31 pages, 1 figure, v2: conformality and integrability of the boundary conditions are distinguished
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.05221 Zobrazit plný text záznamu View this record from Arxiv