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Field theories with defects and the centre functor · Around

2011

Field theories with defects and the centre functor

Davydov, Alexei, Kong, Liang, Runkel, Ingo

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This note is intended as an introduction to the functorial formulation of quantum field theories with defects.

After some remarks about models in general dimension, we restrict ourselves to two dimensions - the lowest dimension in which interesting field theories with defects exist.
We study in some detail the simplest example of such a model, namely a topological field theory with defects which we describe via lattice TFT.
Finally, we give an application in algebra, where the defect TFT provides us with a functorial definition of the centre of an algebra.

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J. Bénabou,
1967
Earlier work this paper cites.
J.P. May,
1972
Earlier work this paper cites.
J.W. Gray,
1974
Earlier work this paper cites.
D. Friedan, S.H. Shenker,
1987
Earlier work this paper cites.
C. Vafa,
1987
Earlier work this paper cites.
H. Sonoda,
1988
Earlier work this paper cites.
M. Atiyah,
1989
Earlier work this paper cites.
J.L. Cardy,
1989
Earlier work this paper cites.
R. Dijkgraaf,
1989
Earlier work this paper cites.
J.-L. Loday,
1992
Earlier work this paper cites.
C. Bachas, P.M.S. Petropoulos,
1993
Earlier work this paper cites.
A. Joyal, R. Street,
1993
Earlier work this paper cites.
R.J. Lawrence,
1993
Earlier work this paper cites.
M. Fukuma, S. Hosono, H. Kawai,
1994
Earlier work this paper cites.
D.S. Freed,
1994
Earlier work this paper cites.
Y.-Z. Huang, J. Lepowsky,
1994
Earlier work this paper cites.
J.C. Baez, J. Dolan,
1995
Earlier work this paper cites.
L.S. Abrams,
1996
Earlier work this paper cites.

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