Boundary conformal field theory

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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.

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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]

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References

  1. Affleck, Ian (1990). "A current algebra approach to the Kondo effect". Nuclear Physics B. Elsevier BV. 336 (3): 517–532. Bibcode:1990NuPhB.336..517A. doi:10.1016/0550-3213(90)90440-o. hdl: 2433/94452 . ISSN   0550-3213. S2CID   121404962.
  2. Affleck, Ian; Ludwig, Andreas W.W. (1991). "Critical theory of overscreened Kondo fixed points". Nuclear Physics B. Elsevier BV. 360 (2–3): 641–696. Bibcode:1991NuPhB.360..641A. doi:10.1016/0550-3213(91)90419-x. ISSN   0550-3213.
  3. Johannesson, Henrik; Andrei, N.; Bolech, C. J. (2003-08-20). "Critical theory of the two-channel Anderson impurity model". Physical Review B. 68 (7): 075112. arXiv: cond-mat/0301158 . Bibcode:2003PhRvB..68g5112J. doi:10.1103/physrevb.68.075112. ISSN   0163-1829. S2CID   59143928.

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