Symmetries of perturbed conformal field theories
arXiv:0707.2511 · doi:10.1088/1751-8113/40/45/012
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.
arXiv comment30 pages, 3 figures. V2: Small error in eq. (2.14) corrected
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- Conformal perturbation theory beyond the leading order
- Boundary entropy of supersymmetric Janus solutions
- Bulk flows in Virasoro minimal models with boundaries
- Marginal deformations of WZW models and the classical Yang-Baxter equation
- Perturbing the symmetric orbifold from the worldsheet
- Boundary action of the H3+ model
- Brane backreactions and the Fischler-Susskind mechanism in conformal field theory
- Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
- Obstructions and lines of marginal stability from the world-sheet
- D-branes at multicritical points
- Manifestly Supersymmetric RG Flows
- Bulk induced boundary perturbations for N=1 superconformal field theories
- Backgrounds in Boundary String Field Theory