## 39 Citations

Topological and conformal field theory as Frobenius algebras

- Mathematics, Physics
- 2005

Two-dimensional conformal field theory (CFT) can be defined through its correlation functions. These must satisfy certain consistency conditions which arise from the cutting of world sheets along…

Category theory for conformal boundary conditions

- Mathematics, Physics
- 2003

We study properties of the category of modules of an algebra object A in a tensor category C. We show that the module category inherits various structures from C, provided that A is a Frobenius…

Conformal correlation functions, Frobenius algebras and triangulations

- Physics
- 2002

We formulate two-dimensional rational conformal field theory as a natural generalization of two-dimensional lattice topological field theory. To this end we lift various structures from complex…

Orbifold analysis of broken bulk symmetries

- Physics
- 1998

Abstract In two-dimensional conformal field theory, we analyze conformally invariant boundary conditions which break part of the bulk symmetries. When the subalgebra that is preserved by the boundary…

Lattice realizations of the open descendants of twisted boundary conditions for sl(2) A–D–E models

- Mathematics, Physics
- 2005

The twisted boundary conditions and associated partition functions of the conformal sl(2) A–D–E models are studied on the Klein bottle and the Mobius strip. The A–D–E minimal lattice models give…

Branes: From free fields to general backgrounds

- Physics
- 1998

Abstract Motivated by recent developments in string theory, we study the structure of boundary conditions in arbitrary conformal field theories. A boundary condition is specified by two types of…

## References

SHOWING 1-4 OF 4 REFERENCES

The A-D-E classification of minimal andA1(1) conformal invariant theories

- Mathematics
- 1987

We present a detailed and complete proof of our earlier conjecture on the classification of minimal conformal invariant theories. This is based on an exhaustive construction of all modular invariant…

Dirichlet Branes and Ramond-Ramond charges.

- Physics, MedicinePhysical review letters
- 1995

We show that D-branes, extended objects defined by mixed Dirichlet-Neumann boundary conditions, break half the supersymmetries of the type II superstring and carry a complete set of electric and…

Non-abelian bosonization in two dimensions

- Physics
- 1984

A non-abelian generalization of the usual formulas for bosonization of fermions in 1+1 dimensions is presented. Any fermi theory in 1+1 dimensions is equivalent to a local bose theory which…