Symmetries of perturbed conformal field theories

Abstract

The symmetries of perturbed conformal field theories are analysed. We explain which generators of the chiral algebras of a bulk theory survive a perturbation by an exactly marginal bulk field. We also study the behaviour of D-branes under current-current bulk deformations. We find that the branes always continue to preserve as much symmetry as they possibly can, i.e. as much as is preserved in the bulk. We illustrate these findings with several examples, including permutation branes in WZW models and B-type D-branes in Gepner models.

30 pages, 3 figures. V2: Small error in eq. (2.14) corrected

References in corpus (2)

• Generalised N=2 permutation branes
• Matrix factorisations and D-branes on K3

Cited by in corpus (6)

• Fusion of conformal interfaces
• Conformal perturbation theory beyond the leading order
• Perturbing the symmetric orbifold from the worldsheet
• Boundary action of the H3+ model
• Brane backreactions and the Fischler-Susskind mechanism in conformal field theory
• Bulk induced boundary perturbations for N=1 superconformal field theories