Topological and conformal field theory as Frobenius algebras
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Ingo Runkel | Christoph Schweigert | Jurgen Fuchs | J. Fuchs | C. Schweigert | Jens Fjelstad | I. Runkel | J. Fjelstad
[1] TFT construction of RCFT correlators IV: Structure constants and correlation functions , 2004, hep-th/0412290.
[2] Frobenius algebras and planar open string topological field theories , 2005, math/0508349.
[3] C. Vafa. Conformal theories and punctured surfaces , 1987 .
[4] Vertex operator algebras, the Verlinde conjecture, and modular tensor categories. , 2004, Proceedings of the National Academy of Sciences of the United States of America.
[5] A. Kirillov,et al. Lectures on tensor categories and modular functors , 2000 .
[6] Ingo Runkel,et al. TFT construction of RCFT correlators I: Partition functions , 2002, hep-th/0204148.
[7] G. Segal. Topological structures in string theory , 2001, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[8] V. Turaev,et al. Quantum Groups and Knot Invariants , 1997 .
[9] J. Fröhlich,et al. The Chern-Simons theory and knot polynomials , 1989 .
[10] Viktor Ostrik. Module categories, weak Hopf algebras and modular invariants , 2001 .
[11] K. Ueno,et al. Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries , 1989 .
[12] J.-B. Zuber,et al. The many faces of Ocneanu cells , 2001 .
[13] A lecture on the Liouville vertex operators , 2003, hep-th/0303150.
[14] Albert Schwarz,et al. Topological quantum field theories , 2000, hep-th/0011260.
[15] Conformal field theory and Doplicher-Roberts reconstruction , 2000, math-ph/0008027.
[16] V. Turaev,et al. Ribbon graphs and their invaraints derived from quantum groups , 1990 .
[17] A. Polyakov,et al. Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory - Nucl. Phys. B241, 333 (1984) , 1984 .
[18] I. Kríz,et al. Conformal field theory and elliptic cohomology , 2004 .
[19] J. Cardy,et al. Bulk and boundary operators in conformal field theory , 1991 .
[20] J. Cardy. Operator Content of Two-Dimensional Conformally Invariant Theories , 1986 .
[21] F. Quinn,et al. Lectures on axiomatic topological quantum field theory , 1991 .
[22] Yi-Zhi Huang,et al. Open-String Vertex Algebras, Tensor Categories and Operads , 2003, math/0308248.
[23] A. Joyal,et al. The geometry of tensor calculus, I , 1991 .
[24] TFT construction of RCFT correlators II: unoriented world sheets , 2003, hep-th/0306164.
[25] A. Schwarz. The partition function of degenerate quadratic functional and Ray-Singer invariants , 1978 .
[26] uger Michael M. From subfactors to categories and topology II : The quantum double of tensor categories and subfactors , 2003 .
[27] S. Govindarajan. Introduction to Conformal Field Theory , 1993 .
[28] A. Voronov. Topological field theories, string backgrounds and homotopy algebras , 1994, hep-th/9401023.
[29] Joachim Kock,et al. Frobenius Algebras and 2-D Topological Quantum Field Theories , 2004 .
[30] S. Shenker,et al. The Analytic Geometry of Two-Dimensional Conformal Field Theory , 1987 .
[31] Vladimir Turaev,et al. Invariants of 3-manifolds via link polynomials and quantum groups , 1991 .
[32] A. Sagnotti,et al. Open descendants in conformal field theory , 1996, hep-th/9605042.
[33] J. Roberts. Locality and Modular Invariance in 2d Conformal Qft * , 2022 .
[34] Lowell Abrams. TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS , 1996 .
[35] G. Segal. The Definition of Conformal Field Theory , 1988 .
[36] Yi-Zhi Huang. Riemann surfaces with boundaries and the theory of vertex operator algebras , 2002, math/0212308.
[37] J. Fuchs,et al. Picard groups in rational conformal field theory , 2004, math/0411507.
[38] I. Davies. IXth International Congress on Mathematical Physics , 1989 .
[39] M. Flohr,et al. Conformal Field Theory , 2006 .
[40] M. Fukuma,et al. Lattice topological field theory in two dimensions , 1994 .
[41] Boundary conditions in rational conformal field theories , 2000 .
[42] G. Moore,et al. Classical and quantum conformal field theory , 1989 .
[43] Matthias R Gaberdiel,et al. An introduction to conformal field theory , 1999, hep-th/9910156.
[44] V. Turaev. Modular categories and 3-manifold invariants , 1992 .
[45] Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories , 1994, hep-th/9401119.
[46] Yinhuo Zhang,et al. The Brauer group of a braided monoidal category , 1998 .
[47] Boundary Conditions in Rational Conformal Field Theories , 1999, hep-th/9908036.
[48] R. Dijkgraaf. A geometrical approach to two-dimensional Conformal Field Theory , 1989 .
[49] Universality in Quantum Hall Systems: Coset Construction of Incompressible States , 2000, cond-mat/0002330.
[50] Closed and Open Conformal Field Theories and Their Anomalies , 2004, hep-th/0401061.
[51] Charles StreetBaltimore,et al. Two-dimensional Topological Quantum Field Theories and Frobenius Algebras , 1996 .
[52] E. Frenkel,et al. Vertex Algebras and Algebraic Curves , 2000, math/0007054.
[53] D. Lewellen. Sewing constraints for conformal field theories on surfaces with boundaries , 1992 .
[54] Correspondences of ribbon categories , 2003, math/0309465.
[55] C. Lazaroiu. On the structure of open-closed topological field theory in two-dimensions , 2000, hep-th/0010269.
[56] Edward Witten,et al. Quantum field theory and the Jones polynomial , 1989 .
[57] On α-Induction, Chiral Generators and¶Modular Invariants for Subfactors , 1999, math/9904109.
[58] TFT construction of RCFT correlators V: Proof of modular invariance and factorisation , 2005, hep-th/0503194.
[59] G. Moore. Some Comments on Branes, G-Flux and K-Theory , 2000, hep-th/0012007.
[60] V. Turaev. Quantum Invariants of Knots and 3-Manifolds , 1994, hep-th/9409028.
[61] A. Sagnotti,et al. Open Strings , 2002, hep-th/0204089.