Recent efforts in the computation of string couplings
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 293-306 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We review recent advances towards the computation of string couplings. Duality symmetry, mirror symmetry, Picard–Fuchs equations, etc. are some of the tools.
@article{TMF_1993_95_2_a13,
     author = {A. Klemm and S. Theisen},
     title = {Recent efforts in the computation of string couplings},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {293--306},
     year = {1993},
     volume = {95},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a13/}
}
TY  - JOUR
AU  - A. Klemm
AU  - S. Theisen
TI  - Recent efforts in the computation of string couplings
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 293
EP  - 306
VL  - 95
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a13/
LA  - en
ID  - TMF_1993_95_2_a13
ER  - 
%0 Journal Article
%A A. Klemm
%A S. Theisen
%T Recent efforts in the computation of string couplings
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 293-306
%V 95
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a13/
%G en
%F TMF_1993_95_2_a13
A. Klemm; S. Theisen. Recent efforts in the computation of string couplings. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 293-306. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a13/

[1] Hübsch T., “For a review with an extensive list of references, consult”, Calabi-Yau Manifolds, World Scientific, 1991 | MR

[2] Kikkawa K., Yamasaki M., Nucl. Phys., 149 (1984), 357; Sakai N., Senda I., Prog. Theor. Phys., 75 (1984), 692 ; Nair V. P., Shapere A., Strominger A., Wilczek F., Nucl. Phys., 287 (1987), 402 ; Giveon A., Rabinovici E., Veneziano G., Nucl. Phys., 322 (1989), 167 | DOI | MR | DOI | MR | DOI | MR

[3] Dine M., Huet P., Seiberg N., Nucl. Phys., 322 (1989), 301 ; Lauer J., Mas J., Nilles H. P., Phys. Lett., 226 (1989), 251 ; Spaliński M., Phys. Lett., 275 (1992), 47 | DOI | MR | DOI | MR | DOI | MR

[4] Candelas P., de la Ossa X., Green P., Parkes L., Nucl. Phys., 359 (1991), 21 | DOI | MR | Zbl

[5] Klemm A., Theisen S., “Considerations of one-modulus Calabi-Yau compactifications: Picard-Fuchs equations, Kähler potentials and mirror maps”, Nuclear Phys. B, 389:1 (1993), 153–180 | DOI | MR

[6] Font A., Periods and Duality Symmetries in Calabi-Yau Compactifications, preprint UCVFC-1-92 | MR

[7] Ferrara S., Lüst D., Shapere A., Theisen S., Nucl. Phys., 225 (1989), 363 | MR

[8] Cremmer E., Julia B., Scherk J., Girardello L., van Nieuwenhuizen P., Nucl. Phys., 147 (1979), 105 ; Cremmer E., Ferrara S., Girardello L., Van Proeyen A., Nucl. Phys., 212 (1983), 413 | DOI | MR | DOI | MR

[9] Dixon L., Kaplunovsky V., Louis J., Nucl. Phys., 329 (1990), 27 | DOI | MR

[10] Ferrara S., Lüst D., Theisen S., Nucl. Phys., 233 (1989), 147 | MR

[11] Seiberg N., Nucl. Phys., 303 (1988), 286 | DOI | MR

[12] Ferrara S., Mod. Phys. Lett., A6 (1991), 2175 ; Ferrara S., Theisen S., Proceeedings of the Hellenic Summer School (1989), World Scientific | DOI | MR | Zbl

[13] Strominger A., Comm. Math. Phys., 133 (1990), 163 | DOI | MR | Zbl

[14] Castellani L., D'Auria R., Ferrara S., Nucl. Phys., 241 (1990), 57 ; Class. Quantum Grav., 7 (1990), 1767 ; Ferrara S., Louis J., Nucl. Phys., 278 (1992), 240 | MR | DOI | MR | Zbl | MR

[15] Distler J., Greene B., Nucl. Phys., 309 (1988), 295 | DOI | MR

[16] Ferrara S., Strominger A., Proceedings of the Texas A and M Strings'89 Workshop, ed. R. Arnowitt et al., World Scientific, 1990 | MR

[17] Candelas P., Green P., Hübsch T., Nucl. Phys., 330 (1990), 49 ; Candelas P., de la Ossa X. C., Nucl. Phys., 355 (1991), 455 | DOI | MR | DOI | MR | Zbl

[18] Bryant R., Griffiths P., Arithmetic and geometry, vol. II, Progr. Math., 36, Birkhäuser Boston, Boston, MA, 1983 | MR

[19] Tian G., Mathematical Aspects of String Theory, ed. Yau S.-T., World Scientific, 1987 | MR

[20] Strominger A., Phys. Rev. Lett., 55 (1985), 2547 | DOI

[21] Ferrara S., Lüst D., Theisen S., Nucl. Phys., 242 (1990), 39 | MR

[22] Witten E., Nucl. Phys., 268 (1986), 79 | DOI | MR

[23] Greene B., Plesser, Nucl. Phys., 338 (1990), 15 | DOI | MR

[24] Roan S. S., Int. Jour. Math., 1 (1990), 211 ; Topological Couplings of Calabi-Yau Orbifolds, preprint MPI f. Math. Bonn: MPI/92/22 | DOI | MR | Zbl

[25] Batyrev V. V., Dual polyhedra and the mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, preprint 92, Math. Fak. Univ. Essen | MR

[26] Yau S. T., “Compact three dimensional Kahler manifolds with zero Ricci curvature”, Geometry, Anomalies, Topology, eds. W. Bardeen, A. White, 1985 | MR

[27] Gepner D., “The Exact Structure of Calabi-Yau Compactification”, Perspectives of String Theory Copenhagen, eds. P. Di Vecchia, J. L. Peterson, 1987 | MR | Zbl

[28] Lerche W., Vafa C., Warner N. P., Nucl. Phys., 324 (1989), 427 | DOI | MR

[29] Fuchs J., Klemm A., Scheich C., Schmidt M., Nucl. Phys., 232 (1989), 383 ; Ann. Phys., 204 (1990), 163 | MR | DOI

[30] Klemm A., Ph.D. Thesis, preprint HD-THEP-90-45, Heidelberg University | Zbl

[31] Dijkgraaf R., Verlinde H., Verlinde E., Nucl. Phys., 352 (1991), 59 | DOI | MR

[32] Klemm A., Theisen S., Schmidt M. G., “Correlation functions for topological Landau-Ginzburg models with $c\leqslant 3$”, Internat. J. Modern Phys. A, 7:25 (1992), 6215–6244 | DOI | MR | Zbl

[33] Morrison D. R., Picard-Fuchs equations and mirror maps for hypersurfaces, preprint DUK-M-91-14 | MR

[34] Griffiths P., Ann. Math., 90 (1969), 460 ; Lerche W., Smit D., Warner N., Nucl. Phys., 372 (1992), 87 | DOI | MR | Zbl | DOI | MR

[35] Cadavid A., Ferrara S., Nucl. Phys., 267 (1991), 193 | MR

[36] Louis J., Differential Equations in Special Kahler Geometry, preprint CERNTH. 6580/92

[37] Candelas P., Nucl. Phys., 298 (1988), 458 | DOI | MR

[38] Ince E. L., Ordinary differential equations, Dover, 1956 | MR

[39] Grisaru M., van de Ven A., Zanon D., Nucl. Phys., 173 (1986), 423 | MR

[40] Gross D., Sloan J., Nucl. Phys., 291 (1987), 41 | DOI | MR

[41] Aspinwall P. S., Morrison D. R., Topological field theory and rational curves, preprint OUTP-91-32P | MR