Symmetries of perturbed conformal field theories

Stefan Fredenhagen, Matthias R. Gaberdiel, Christoph A. Keller

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)13685-13709
Number of pages25
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number45
DOIs
StatePublished - Nov 9 2007
Externally publishedYes

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D-branes
Conformal Field Theory
Branes
Symmetry
permutations
symmetry
Algebra
Permutation
algebra
Continue
generators
Generator
Perturbation
perturbation
Model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Symmetries of perturbed conformal field theories. / Fredenhagen, Stefan; Gaberdiel, Matthias R.; Keller, Christoph A.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 45, 09.11.2007, p. 13685-13709.

Research output: Contribution to journalArticle

Fredenhagen, Stefan ; Gaberdiel, Matthias R. ; Keller, Christoph A. / Symmetries of perturbed conformal field theories. In: Journal of Physics A: Mathematical and Theoretical. 2007 ; Vol. 40, No. 45. pp. 13685-13709.
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