no. 1
On spin and modularity in conformal field theory
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 36 (2003) no. 1, pp. 57-112 
@article{ASENS_2003_4_36_1_57_0,
     author = {Kriz, Igor},
     title = {On spin and modularity in conformal field theory},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {57--112},
     year = {2003},
     publisher = {Elsevier},
     volume = {Ser. 4, 36},
     number = {1},
     doi = {10.1016/S0012-9593(03)00003-X},
     mrnumber = {1987977},
     zbl = {1028.81050},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/S0012-9593(03)00003-X/}
}
TY  - JOUR
AU  - Kriz, Igor
TI  - On spin and modularity in conformal field theory
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 2003
SP  - 57
EP  - 112
VL  - 36
IS  - 1
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.1016/S0012-9593(03)00003-X/
DO  - 10.1016/S0012-9593(03)00003-X
LA  - en
ID  - ASENS_2003_4_36_1_57_0
ER  - 
%0 Journal Article
%A Kriz, Igor
%T On spin and modularity in conformal field theory
%J Annales scientifiques de l'École Normale Supérieure
%D 2003
%P 57-112
%V 36
%N 1
%I Elsevier
%U https://www.numdam.org/articles/10.1016/S0012-9593(03)00003-X/
%R 10.1016/S0012-9593(03)00003-X
%G en
%F ASENS_2003_4_36_1_57_0
Kriz, Igor. On spin and modularity in conformal field theory. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 36 (2003) no. 1, pp. 57-112. doi: 10.1016/S0012-9593(03)00003-X

[1] Baranov M.A., Schwarz A.S., Multiloop contribution to string theory, Pisma ZhETP 42 (8) (1985) 340, [JETP Lett. 42 (1986) 419]. | MR

[2] Browder W., Surgery on Simply Connected Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 65, Springer-Verlag, 1972. | Zbl | MR

[3] Deligne P., Le symbole modéré, Inst. Hautes Études Sci. Publ. Math. 73 (1991) 147-181. | Zbl | MR | Numdam

[4] Deligne P., Letters to the author, 2000-2001.

[5] Deligne P., Notes on spinors, in: Quantum Fields and Strings: A Course for Mathematicians, Vol. 1, AMS, 1999, pp. 99-136. | Zbl | MR

[6] Deligne P., Mumford D., The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. 36 (1969) 75-108. | Zbl | MR | Numdam

[7] Di Francesco P., Mathieu P., Senechal D., Conformal Field Theory, Graduate Texts in Contemporary Physics, Springer-Verlag, New York, 1997. | Zbl | MR

[8] Dong C., Li H., Mason G., Twisted representations of vertex operator algebras, Math. Ann. 310 (3) (1998) 571-600. | Zbl | MR

[9] Frenkel I., Vertex algebras and algebraic curves, http://xxx.arXiv.org/ps/math.QA/0007054. | MR

[10] Frenkel I., Lepowsky J., Meurman A., Vertex Operator Algebras and the Monster, Pure Appl. Math., 134, Academic Press, Boston, MA, 1988. | Zbl | MR

[11] Friedan D., Notes on string theory and two dimensional conformal field theory, in: Green M., Gross D. (Eds.), Workshop on Unified String Theories, ITP Santa Barbara, World Scientific, Singapore, 1985, pp. 162. | Zbl | MR

[12] Friedan D., Martinec E., Shenker S., Conformal invariance, supersymmetry and string theory, Nucl. Phys. B 271 (1986) 93. | MR

[13] Giraud, Cohomologie non abélienne, in: Grundlehren der math. Wissensch., Vol. 179, Springer-Verlag. | Zbl

[14] Huang Y.Z., Two-dimensional Conformal Geometry and Vertex Operator Algebras, Progress in Mathematics, 148, Birkhäuser, 1997. | Zbl | MR

[15] Lang S., Elliptic Functions, Graduate Texts in Mathematics, 112, Springer-Verlag, 1987. | Zbl | MR

[16] Pressley A., Segal G., Loop Groups, Oxford Science Publications, Oxford University Press, 1986. | Zbl | MR

[17] Luest D., Theisen S., Lectures on String Theory, Lecture Notes in Mathematics Vol. 346, Springer-Verlag. | Zbl | MR

[18] Quillen D., Determinants of Cauchy-Riemann operators on Riemann surfaces, Funktsional. Anal. i Prilozhen. 19 (1985) 37-41. | Zbl | MR

[19] Rabin J.M., Super Riemann Surfaces, in: Yau S.T. (Ed.), Mathematical Aspects of String Theory, Advanced Series in Mathematical Physics, 1, World Scientific, 1987. | Zbl | MR

[20] Rosly A.A., Schwarz A.S., Voronov A.A., Geometry of superconformal manifolds, Comm. Math. Phys. 119 (1988) 129-152. | Zbl | MR

[21] Segal G., The definition of conformal field theory, preprint. | MR

[22] Simon B., Trace Ideals and Their Applications, London Mathematical Society Lecture Note Series, 35, Cambridge University Press, 1979. | Zbl | MR

[23] Wall C.T.C., Graded Brauer groups, J. Reine Angew. Math. 213 (1963/64) 187-199. | Zbl | MR

Cité par Sources :