On conformal field theory and stochastic Loewner evolution

Nuclear Physics B

Volumn 687, Issue 3, 2004, Pages 279-302

  Friedrich, Rolando ^a,b   Kalkkinen, Jek ^c  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^b UNIVERSITÉ PARIS SUD   (France)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Conformal field theory; Probability theory

Indexed keywords

EID: 2342444514     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2004.03.025     Document Type: Article

References (31)

1. Lawler G. Schramm O. Werner W. Conformal restriction: the chordal case math.PR/0209343
2. Schramm O. Scaling limits of loop-erased random walks and uniform spanning trees Israel J. Math. 118 2000 221
3. Lawler G. Schramm O. Werner W. Values of Brownian intersection exponents I: half-plane exponents Acta Math. 187 2001
4. Lawler G. Schramm O. Werner W. Values of Brownian intersection exponents II: plane exponents Acta Math. 187 2001
5. Lawler G. Schramm O. Werner W. Values of Brownian intersection exponents III: two-sided exponents Ann. Inst. Henri Poincaré 38 2002
6. Smirnov S. Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits C. R. Acad. Sci. Paris Ser. I Math. 333 2001
7. Friedrich R. Werner W. Conformal fields, restriction properties, degenerate representations and SLE C. R. Acad. Sci. Paris Ser. I Math. math.PR/0209382
8. Friedrich R. Werner W. Conformal restriction, highest-weight representations and SLE math-ph/0301018
9. Work in preparation
10. Cardy J. Lectures on conformal invariance and percolation math-ph/0103018
11. W. Werner, Lectures on random planar curves and Schramm-Loewner evolutions, Lecture Notes of the 2002 St.-Flour Summer School, Springer, submitted for publication
12. Bauer M. Bernard D. SLE martingales and the Virasoro algebra hep-th/0301064
13. Lawler G. Introduction to stochastic Loewner evolution http://www.math.duke.edu/jose/papers.html
14. S. Rohde, O. Schramm, Basic properties of SLE curves, preprint, 2001
15. Segal G.B. The definition of conformal field theory Differential Geometrical Methods in Theoretical Physics in: NATO ASI Series vol. 250 1987 Kluwer Dordrecht
16. Charpentier E. Gawedzki K. Wess-Zumino-Witten conformal field theory for simply laced groups at level one Ann. Phys. 213 1992 233
17. κ growth processes and conformal field theories Phys. Lett. B 543 2002 135 math-ph/0206028
18. Bauer M. Bernard D. Conformal field theories of stochastic Loewner evolutions Commun. Math. Phys. 239 2003 493 hep-th/0210015
19. Cardy J.L. Boundary conditions, fusion rules and the Verlinde formula Nucl. Phys. B 324 1989 581
20. Di Francesco P. Mathieu P. Senechal D. Conformal Field Theory 1997 Springer-Verlag New York
21. I. Runkel, Boundary problems in conformal field theory, PhD thesis, King's College, London, 2000
22. Friedan D. Shenker S.H. The analytic geometry of two-dimensional conformal field theory Nucl. Phys. B 281 1987 509
23. Ranganathan K. Sonoda H. Zwiebach B. Connections on the state space over conformal field theories Nucl. Phys. B 414 1994 405 hep-th/9304053
24. Beffara V. The dimension of the SLE curves math.PR/0211322
25. Arbarello E. Cornalba M. The Picard groups of the moduli spaces of curves Topology 26 1987 153
26. Mumford D. Stability of projective varieties Enseignement Math. 23 1977 39
27. Kontsevich M. Virasoro algebra and Teichmüller spaces Funktsional. Anal. Prilozhen. 21 1987 78
28. Beilinson A.A. Schechtman V.V. Determinant bundles and Virasoro algebras Commun. Math. Phys. 118 1988 651
29. Frenkel E. Ben-Zvi D. Vertex Algebras and Algebraic Curves Mathematical Surveys and Monographs vol. 88 2001 AMS Providence, MA
30. Bauer M. Bernard D. Conformal transformations and the SLE partition function martingale math-ph/0305061
31. M. Kontsevich, SLE, CFT, and phase boundaries, Arbeitstagung 2003, preprint MPI 2003 (60)