Iterated Mellin–Barnes integrals as periods on the Calabi–Yau manifolds with several modules
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 381-394
M. Passare; A. K. Tsikh; A. A. Cheshel. Iterated Mellin–Barnes integrals as periods on the Calabi–Yau manifolds with several modules. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 381-394. http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a5/
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     title = {Iterated {Mellin{\textendash}Barnes} integrals as periods on the {Calabi{\textendash}Yau} manifolds with several modules},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In superstring compactification theory the representation of periods on the Calabi–Yau manifolds with several modules is given by iterated Mellin–Barnes integrals. By using this representation and multidimensional residues a method of analitic continuation for fundamential period is developed.

[1] T. Hubsch, Calabi–Yau Manifolds-A Bestiary for Physicists, World Scientific, Singapore, 1992 | MR | Zbl

[2] P. Berglund, P. Candelas, X. de la Ossa, A. Font, T. Hubsch, D. Jancic, F. Quevedo, Nucl. Phys., B419 (1994), 352 | DOI | MR

[3] P. Candelas, X. de la Ossa, A. Font, S. Katz, S. R. Morrison, Nucl. Phys., B416 (1994), 481 | DOI | MR | Zbl

[4] P. Candelas, A. Font, S. Katz, S. R. Morrison, Mirror Symmetry for Two Parameter Model-2, E-print hep-th /9403187

[5] P. Berglund, E. Derrick, T. Hübsch, D. Janćić, On Periods for String Compactifications, HUPAPP–93/6

[6] S. Hosono, A. Klemm, S. Taisen, S.-T. Yau, Mirror Symmetry, Mirror Map and Aplication to Calabi–Yau Hupersurfaces, E-print hep-th /9308083 | MR

[7] P. Candelas, X. de la Ossa, P. Greene, L. Parkes, Nucl. Phys., B359 (1991), 21 | DOI | MR | Zbl

[8] B. R. Greene, M. R. Plesser, Nucl. Phys., B338 (1990) | MR

[9] V. V. Batyrev, Duke Math. Journ., 69 (1993), 349 | DOI | MR | Zbl

[10] P. Candelas, X. de la Ossa, S. Katz, Mirror Symmetry for Calabi–Yau Hupersurfaces in Weighted ${\mathbb CP}(4)$ and Extensions of Landau–Ginzburg Theory, E-print hep-th /9412117 | MR

[11] P. Berglund, S. Katz, Nucl. Phys., B420 (1994), 289 ; E-print hep-th /9311014 | DOI | MR

[12] A. K. Tsikh, Multidimensional Residues and Their Applications, 103, AMS, Providence, 1992 | MR | Zbl

[13] A. K. Tsikh, Metody teorii mnogomernykh vychetov, Dokt. diss., IM SORAN, Novosibirsk, 1990

[14] M. Passare, A. Tsikh, O. Zhdanov, Aspects of Math., E26 (1994), 233 | DOI | MR | Zbl

[15] Zh. Lere, Differentsialnoe i integralnoe ischislenie na kompleksnom analiticheskom mnogoobrazii, IL, M, 1961 | MR

[16] M. A. Mkrtchyan, A. P. Yuzhakov, Izv. AN Arm. SSR., 17 (1992), 99 | MR

[17] I. M. Gelfand, A. V. Zelevinskii, M. M. Kapranov, Funk. analiz i ego prilozh., 23:2 (1989), 12 | MR | Zbl

[18] A. G. Sveshnikov, A. N. Tikhonov, Teoriya funktsii kompleksnoi peremennoi, Nauka, M, 1967 | MR

[19] O. I. Marichev, Metod vychisleniya integralov ot spetsialnykh funktsii, Nauka, Minsk, 1978 | MR

[20] P. Griffiths, J. Harris, Principles of algebraic geometry, John Wiley $\$ Sons, New York, 1978 | MR | Zbl

[21] E. Elizalde, K. Kirsten, S. Zerbini, Application of the Melline–Barnes integral reprezentation, V, E-print hep-th/9501048