| 1. |
- Andrei, N., et al.
(författare)
-
Boundary and defect CFT : open problems and applications
- 2020
-
Ingår i: Journal of Physics A: Mathematical and Theoretical. - : IOP PUBLISHING LTD. - 1751-8113 .- 1751-8121. ; 53:45
-
Forskningsöversikt (refereegranskat)abstract
- A review of Boundary and defect conformal field theory: open problems and applications, following a workshop held at Chicheley Hall, Buckinghamshire, UK, 7-8 Sept. 2017. We attempt to provide a broad, bird's-eye view of the latest progress in boundary and defect conformal field theory in various sub-fields of theoretical physics, including the renormalization group, integrability, conformal bootstrap, topological field theory, supersymmetry, holographic duality, and more. We also discuss open questions and promising research directions in each of these sub-fields, and combinations thereof.
|
|
| 2. |
|
|
| 3. |
|
|
| 4. |
|
|
| 5. |
- Felder, G., et al.
(författare)
-
The geometry of WZW branes
- 2000
-
Ingår i: Journal of Geom. and Physics 34 (2000).
-
Tidskriftsartikel (refereegranskat)abstract
- The structures in target space geometry that correspond to conformally invariant boundary conditions in WZW theories are determined both by studying the scattering of closed string states and by investigating the algebra of open string vertex operators. In the limit of large level, we find branes whose world volume is a regular conjugacy class or, in the case of symmetry breaking boundary conditions, a `twined' version thereof. In particular, in this limit one recovers the commutative algebra of functions over the brane world volume, and open strings connecting different branes disappear. At finite level, the branes get smeared out, yet their approximate localization at (twined) conjugacy classes can be detected unambiguously.As a by-product, it is demonstrated how the pentagon identity and tetrahedral symmetry imply that in any rational conformal field theory the structure constants of the algebra of boundary operators coincide with specific entries of fusing matrices
|
|
| 6. |
- Fjelstad, Jens, 1971-, et al.
(författare)
-
TFT construction of RCFT correlators V: Proof of modular invariance and factorisation
- 2006
-
Ingår i: Theory and Appl. of Categories 16 (2006). - Sackville, N.B. : R. Rosebrugh. ; 16:16, s. 342-433
-
Tidskriftsartikel (refereegranskat)abstract
- The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [FRSI,FRSII,FRSIV] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary factorisation constraints. We present results both for conformal field theories defined on oriented surfaces and for theories defined on unoriented surfaces. In the latter case, in particular the so-called cross cap constraint is included
|
|
| 7. |
- Fjelstad, Jens, 1971-, et al.
(författare)
-
Uniqueness of open/closed rational CFT with given algebra of open states
- 2008
-
Ingår i: Adv. in Theor. and Math. Phys. 12 (2008). - : International Press. ; 12:6, s. 1283-1375
-
Tidskriftsartikel (refereegranskat)abstract
- We study the sewing constraints for rational two-dimensional conformal fieldtheory on oriented surfaces with possibly non-empty boundary. The boundarycondition is taken to be the same on all segments of the boundary.The following uniqueness result is established: For a solution to the sewingconstraints with nondegenerate closed state vacuum and nondegenerate two-pointcorrelators of boundary fields on the disk and of bulk fields on the sphere, upto equivalence all correlators are uniquely determined by the one-, two,- andthree-point correlators on the disk. Thus for any such theory every consistentcollection of correlators can be obtained by the TFT approach of [hep-th/0204148] and [hep-th/0503194].As morphisms of the category of world sheets we includenot only homeomorphisms, but also sewings; interpreting the correlatorsas a natural transformation then encodes covariance both under homeomorphismsand under sewings of world sheets.
|
|
| 8. |
|
|
| 9. |
- Fuchs, Jürgen, et al.
(författare)
-
Bi-branes: Target space geometry for world sheet topological defects
- 2008
-
Ingår i: Journal of Geom. and Physics 58 (2008).
-
Tidskriftsartikel (refereegranskat)abstract
- We establish that the relevant geometric data for the target space description of world sheet topological defects are submanifolds - which we call bi-branes - in the product M1 x M2 of the two target spaces involved. Very much like branes, they are equipped with a vector bundle, which in backgrounds with non-trivial B-field is actually a twisted vector bundle. We explain how to define Wess-Zumino terms in the presence of bi-branes and discuss the fusion of bi-branes.In the case of WZW theories, symmetry preserving bi-branes are shown to be biconjugacy classes. The algebra of functions on a biconjugacy class is shown to be related, in the limit of large level, to the partition function for defect fields. We finally indicate how the Verlinde algebra arises in the fusion of WZW bi-branes
|
|
| 10. |
- Fuchs, Jürgen, et al.
(författare)
-
Boundaries, crosscaps and simple currents
- 2000
-
Ingår i: Physics Letters B 495 (2000).
-
Tidskriftsartikel (refereegranskat)abstract
- Universal formulas for the boundary and crosscap coefficients are presented, which are valid for all symmetric simple current modifications of the charge conjugation invariant of any rational conformal field theory
|
|
