Boundary renormalization group flows in coset conformal field theories

@article{Fredenhagen2003BoundaryRG,
  title={Boundary renormalization group flows in coset conformal field theories},
  author={Stefan Fredenhagen and Volker Schomerus},
  journal={Physical Review D},
  year={2003},
  volume={67},
  pages={085001}
}
We propose a new rule for boundary renormalization group flows in fixed-point free coset models. Our proposal generalizes the ``absorption of boundary spin'' principle formulated by Affleck and Ludwig to a large class of perturbations in boundary conformal field theories. We illustrate the rule in the case of unitary minimal models. 

Defect lines and boundary flows

Using the properties of defect lines, we study boundary renormalisation group flows. We find that when there exists a flow between maximally symmetric boundary conditions a and b then there also

Landau-Ginzburg description of boundary critical phenomena in two dimensions

The Virasoro minimal models with boundary are described in the Landau-Ginzburg theory by introducing a boundary potential, function of the boundary field value. The ground state field configurations

Organizing boundary RG flows

Fusion of interfaces in Landau-Ginzburg models: a functorial approach

We investigate the fusion of B-type interfaces in two-dimensional supersymmetric Landau-Ginzburg models. In particular, we propose to describe the fusion of an interface in terms of a fusion functor

Holographic RG flows for Kondo-like impurities

Boundary, defect, and interface RG flows, as exemplified by the famous Kondo model, play a significant role in the theory of quantum fields. We study in detail the holographic dual of a non-conformal

The large level limit of Kazama-Suzuki models

A bstractLimits of families of conformal field theories are of interest in the context of AdS/CFT dualities. We explore here the large level limit of the two-dimensional N=2,2$$ \mathcal{N}=\left(2,\

Matrix factorisations for rational boundary conditions by defect fusion

A bstractA large class of two-dimensional N=2,2$$ \mathcal{N}=\left(2,\ 2\right) $$ superconformal field theories can be understood as IR fixed-points of Landau-Ginzburg models. In particular, there

D-branes and matrix factorisations in supersymmetric coset models

Matrix factorisations describe B-type boundary conditions in $ \mathcal{N} = 2 $ supersymmetric Landau-Ginzburg models. At the infrared fixed point, they correspond to superconformal boundary states.

Defect loops in gauged Wess-Zumino-Witten models

We consider loop observables in gauged Wess-Zumino-Witten models, and study the action of renormalization group flows on them. In the WZW model based on a compact Lie group G, we analyze at the

Bulk flows in Virasoro minimal models with boundaries

The behaviour of boundary conditions under relevant bulk perturbations is studied for the Virasoro minimal models. In particular, we consider the bulk deformation by the least relevant bulk field

References

SHOWING 1-9 OF 9 REFERENCES

JHEP 02

  • 005
  • 2002

Nucl

  • Phys. B588, 552
  • 2000

and G

  • M. T. Watts
  • 2000

Nucl

  • Phys. B352, 849
  • 1991

Phys

  • Rev. Lett. 67, 161
  • 1991

Nucl

  • Phys. B324, 581
  • 1989

Graham JHEP 03 , 028 ( 2002 ) , hep - th / 0111205 . [ 8 ] L . Chim

  • 2000

Phys

  • Lett. B427, 85
  • 1998

Nucl

  • Phys. B608, 527
  • 2001