Real mirror symmetry for one-parameter hypersurfaces

Journal of High Energy Physics

Volumn 2008, Issue 9, 2008, Pages

  Krefl, Daniel ^a,b   Walcher, Johannes ^c,d  

^a UNIVERSITY OF MUNICH   (Germany)

^b CERN   (Switzerland)

^c ETH ZURICH   (Switzerland)

^d INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

D branes; Topological strings

Indexed keywords

EID: 58149314351     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/09/031     Document Type: Article

References (32)

1. J. Walcher, Opening mirror symmetry on the quintic 2007 Comm. Math. Phys. 276 671 [hep-th/0605162]
2. D.R. Morrison and J. Walcher, D-branes and normal functions [0709.4028]
3. D.R. Morrison, Picard-Fuchs equations and mirror maps for hypersurfaces [hep-th/9111025]
4. A. Klemm and S. Theisen, Considerations of one modulus Calabi-Yau compactifications: Picard-Fuchs equations, Kähler potentials and mirror maps 1993 Nucl. Phys. B 389 153 [hep-th/9205041]
5. A. Font, Periods and duality symmetries in Calabi-Yau compactifications 1993 Nucl. Phys. B 391 358 [hep-th/9203084]
6. P. Candelas, X.C. De La Ossa, P.S. Green and L. Parkes, A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory 1991 Nucl. Phys. B 359 21
7. J. Walcher, Stability of Landau-Ginzburg branes 2005 J. Math. Phys. 46 082305 [hep-th/0412274]
8. I. Brunner, K. Hori, K. Hosomichi and J. Walcher, Orientifolds of Gepner models 2007 J. High Energy Phys. JHEP02(2007)001 [hep-th/0401137]
9. M. Aganagic and C. Vafa, Mirror symmetry, D-branes and counting holomorphic discs [hep-th/0012041]
10. M. Aganagic, A. Klemm and C. Vafa, Disk instantons, mirror symmetry and the duality web 2002 Z. Naturforsch. A 57 1 [hep-th/0105045]
11. W. Lerche, P. Mayr and N. Warner, Holomorphic N = 1 special geometry of open-closed type-II strings [hep-th/0207259]
12. W. Lerche, P. Mayr and N. Warner, N = 1 special geometry, mixed Hodge variations and toric geometry [hep-th/0208039]
13. H. Ooguri and C. Vafa, Knot invariants and topological strings 2000 Nucl. Phys. B 577 419 [hep-th/9912123]
14. J. Walcher, Extended holomorphic anomaly and loop amplitudes in open topological string [0705.4098]
15. J. Walcher, Evidence for tadpole cancellation in the topological string [0712.2775]
16. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Holomorphic anomalies in topological field theories 1993 Nucl. Phys. B 405 279 [hep-th/9302103]
17. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes 1994 Comm. Math. Phys. 165 311 [hep-th/9309140]
18. 2-manifolds and real LG 2003 Adv. Theor. Math. Phys. 6 207 [hep-th/0203272]
19. S. Kachru, S.H. Katz, A.E. Lawrence and J. McGreevy, Open string instantons and superpotentials 2000 Phys. Rev. D 62 026001 [hep-th/9912151]
20. K. Fukaya, Y.-G. Oh, H. Ohta and K. Ono, Lagrangian intersection Floer theory-anomaly and obstruction http://www.math.kyoto-u.ac.jp/ fukaya/fooo.dvi, preprint (2000)
21. J. Walcher, unpublished
22. A. Recknagel and V. Schomerus, D-branes in Gepner models 1998 Nucl. Phys. B 531 185 [hep-th/9712186]
23. I. Brunner and V. Schomerus, D-branes at singular curves of Calabi-Yau compactifications 2000 J. High Energy Phys. JHEP04(2000)020 [hep-th/0001132]
24. J. Fuchs, C. Schweigert and J. Walcher, Projections in string theory and boundary states for Gepner models 2000 Nucl. Phys. B 588 110 [hep-th/0003298]
25. K. Hori and J. Walcher, D-branes from matrix factorizations talk at Strings ′04 June 28-July 2 Paris, France 2004, 2004 Comptes Rendus Physique 5 1061 [hep-th/0409204]
26. D. Orlov, Derived categories of coherent sheaves and triangulated categories of singularities [math.AG/0503632]
27. M. Herbst, K. Hori and D. Page, Phases of N = 2 theories in 1+1 dimensions with boundary [0803.2045]
28. P.L.H. Cook, H. Ooguri and J. Yang, New anomalies in topological string theory [0804.1120]
29. J.M.F. Labastida, M. Marĩo and C. Vafa, Knots, links and branes at large-N 2000 J. High Energy Phys. JHEP11(2000)007 [hep-th/0010102]
30. M.-x. Huang, A. Klemm and S. Quackenbush, Topological string theory on compact Calabi-Yau: modularity and boundary conditions [hep-th/0612125]
31. R. Pandharipande, J. Solomon and J. Walcher, Disk enumeration on the quintic 3-fold [math.SG/0610901], submitted to J. Am. Math. Soc. (2008)
32. J.P. Solomon, Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions [math.SG/0606429]