Hori-Vafa mirror models for complete intersections in weighted projective spaces and weak Landau-Ginzburg models

• Autorzy: Victor Przyjalkowski
• Języki publikacji: EN

Abstrakty

EN

We prove that Hori-Vafa mirror models for smooth Fano complete intersections in weighted projective spaces admit an interpretation as Laurent polynomials.

Słowa kluczowe

EN

Hori-Vafa models; Landau-Ginzburg models; Complete intersections

Kategorie tematyczne

• 14M10: Complete intersections
• 14J33: Mirror symmetry
• 14Q15: Higher-dimensional varieties

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 5
• Strony: 972-977

Daty

wydano

2011-10-01

online

2011-07-26

Twórcy

autor

Victor Przyjalkowski

• Steklov Mathematical Institute

Bibliografia

• [1] Dimca A., Singularities and coverings of weighted complete intersections, J. Reine Angew. Math., 1986, 366, 184–193 http://dx.doi.org/10.1515/crll.1986.366.184
• [2] Dolgachev I., Weighted projective varieties, In: Group Actions and Vector Fields, Vancouver, 1981, Lecture Notes in Math., 956, Springer, Berlin, 1982, 34–71 http://dx.doi.org/10.1007/BFb0101508
• [3] Douai A., Construction de variétés de Frobenius via les polynômes de Laurent: une autre approche, In: Singularités, Inst. Élie Cartan, 18, Université de Nancy, Nancy, 2005, 105–123
• [4] Douai A., Mann E., The small quantum cohomology of a weighted projective space, a mirror D-module and their classical limits, preprint available at http://arxiv.org/abs/0909.4063
• [5] Givental A., Equivariant Gromov-Witten invariants, Int. Math. Res. Not., 1996, 613–663
• [6] Hori K., Vafa C., Mirror symmetry, preprint available at http://arxiv.org/abs/hep-th/0002222
• [7] Ilten N.O., Przyjalkowski V., Toric degenerations of Fano threefolds giving weak Landau-Ginzburg models, preprint available at http://arxiv.org/abs/1102.4664
• [8] Przyjalkowski V.V., Quantum cohomology of smooth complete intersections in weighted projective spaces and in singular toric varieties, Mat. Sb., 2007, 198(9), 107–122
• [9] Przyjalkowski V., On Landau-Ginzburg models for Fano varieties, Commun. Number Theory Phys., 2008, 1(4), 713–728
• [10] Przyjalkowski V., Weak Landau-Ginzburg models for smooth Fano threefolds, preprint available at http://arxiv.org/abs/0902.4668

Identyfikatory

DOI

10.2478/s11533-011-0070-7