Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory

K. S. Brown, Cohomology of groups

1982

Earlier work this paper cites.

A. Joyal, R. Street, “Braided tensor categories,” Adv. Math. 102

1983

Earlier work this paper cites.

A. Cappelli, C. Itzykson, and J. -B. Zuber, “ A-D-E Classification of Conformal Field Theories,” Commun. Math. Phys. 113

1987

Earlier work this paper cites.

E. Witten, “Quantum field theory and the Jones polynomial”, Com. Math. Phys. 121

1989

Earlier work this paper cites.

S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, “ Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys. B 326

1989

Earlier work this paper cites.

M. Kapranov, and V. Voevodsky, “2-categories and Zamolodchikov tetrahedra equations,” in Algebraic groups and their generalizations: quantum and infinite-dimensional methods (University Park, PA, 1991)

1991

Earlier work this paper cites.

B. Bakalov, A. Kirillov, “Lectures on tensor categories and modular functors,” American Mathematical Society, 2000

2000

Cited alongside, same era.

J. Fuchs, I. Runkel and C. Schweigert, “TFT construction of RCFT correlators. I: Partition functions,” Nucl. Phys. B 646

2002

Cited alongside, same era.

J. Fuchs, I. Runkel and C. Schweigert, “Conformal correlation functions, Frobenius algebras and triangulations,” Nucl. Phys. B 624

2002

Cited alongside, same era.

J. Fuchs, I. Runkel and C. Schweigert, “TFT construction of RCFT correlators. II: Unoriented world sheets,” Nucl. Phys. B 678

2004

Cited alongside, same era.

J. Fuchs, I. Runkel and C. Schweigert, “TFT construction of RCFT correlators. III: Simple currents,” Nucl. Phys. B 694

2004

Cited alongside, same era.

G. Segal, “The definition of conformal field theory” in Topology, geometry and quantum field theory

2004

Later among the works it cites.

J. Fuchs, I. Runkel and C. Schweigert, “TFT construction of RCFT correlators. IV: Structure constants and correlation functions,” Nucl. Phys. B 715

2005

Later among the works it cites.

J. Fjelstad, J. Fuchs, I. Runkel and C. Schweigert, “TFT construction of RCFT correlators. V: Proof of modular invariance and factorisation,” Theor. Appl. Categor. 16

2006

Later among the works it cites.

J. Frohlich, J. Fuchs, I. Runkel and C. Schweigert, “Duality and defects in rational conformal field theory,” Nucl. Phys. B 763

2007

Later among the works it cites.

A. Kapustin, L. Rozansky, N. Saulina, “Three-dimensional topological field theory and symplectic algebraic geometry I”, Nucl. Phys. B 816

Original

2009