Symmetries of perturbed conformal field theories

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

doi:10.1088/1751-8113/40/45/012

Symmetries of perturbed conformal field theories

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

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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 language	English (US)
Pages (from-to)	13685-13709
Number of pages	25
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	45
DOIs	https://doi.org/10.1088/1751-8113/40/45/012
State	Published - Nov 9 2007
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/40/45/012

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AU - Gaberdiel, Matthias R.

AU - Keller, Christoph A.

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N2 - 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.

AB - 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.

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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Symmetries of perturbed conformal field theories

Abstract

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