Boundary conformal field theory explained

In theoretical physics, boundary conformal field theory (BCFT) is a conformal field theory defined on a spacetime with a boundary (or boundaries). Different kinds of boundary conditions for the fields may be imposed on the fundamental fields; for example, Neumann boundary condition or Dirichlet boundary condition is acceptable for free bosonic fields. BCFT was developed by John Cardy.

In the context of string theory, physicists are often interested in two-dimensional BCFTs. The specific types of boundary conditions in a specific CFT describe different kinds of D-branes.

BCFT is also used in condensed matter physics - it can be used to study boundary critical behavior and to solve quantum impurity models.^{[1] [2] [3]}

See also

• Conformal field theory
• Operator product expansion
• Critical point

References

• Herzog . Christopher P. . Huang . Kuo-Wei . Boundary conformal field theory and a boundary central charge . Journal of High Energy Physics . 2017 . 10 . 2017 . 1029-8479 . 10.1007/jhep10(2017)189 . 189. free. 1707.06224. 2017JHEP...10..189H .

Further reading

• hep-th/0411189 . Cardy . John . Boundary Conformal Field Theory . 2004 . 2004hep.th...11189C .

Notes and References

1. Affleck . Ian . A current algebra approach to the Kondo effect . Nuclear Physics B . Elsevier BV . 336 . 3 . 1990 . 0550-3213 . 10.1016/0550-3213(90)90440-o . 517–532. 1990NuPhB.336..517A . 2433/94452 . 121404962 . free .
2. Affleck . Ian . Ludwig . Andreas W.W. . Critical theory of overscreened Kondo fixed points . Nuclear Physics B . Elsevier BV . 360 . 2–3 . 1991 . 0550-3213 . 10.1016/0550-3213(91)90419-x . 641–696. 1991NuPhB.360..641A .
3. Johannesson . Henrik . Andrei . N. . Bolech . C. J. . Critical theory of the two-channel Anderson impurity model . Physical Review B . 68 . 7 . 2003-08-20 . 0163-1829 . 10.1103/physrevb.68.075112 . 075112. cond-mat/0301158. 2003PhRvB..68g5112J . 59143928 .