Affine Toda field theory on a half line

Apr, 1994
16 pages
Published in:
  • Phys.Lett.B 333 (1994) 83-91
e-Print:
Report number:
  • DTP-94-7,
  • YITP-U-94-11

Citations per year

1994200120082015202205101520
Abstract:
The question of the integrability of real-coupling affine toda field theory on a half-line is addressed. It is found, by examining low-spin conserved charges, that the boundary conditions preserving integrability are strongly constrained. In particular, for the an (n>1)a_n\ (n>1) series of models there can be no free parameters introduced by the boundary condition; indeed the only remaining freedom (apart from choosing the simple condition 1ϕ=0\partial_1\phi =0), resides in a choice of signs. For a special case of the boundary condition, it is argued that the classical boundary bound state spectrum is closely related to a consistent set of reflection factors in the quantum field theory.
  • field theory: Toda
  • field theory: affine
  • dimension: 2
  • dimension: 1
  • boundary condition
  • integrability
  • charge
  • spin: 2
  • 2: spin
  • spin: 3