Extended holomorphic anomaly and loop amplitudes in open topological string

Nuclear Physics B

Volumn 817, Issue 3, 2009, Pages 167-207

  Walcher, Johannes ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67349194963     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2009.02.006     Document Type: Article

References (55)

1. Bershadsky M., Cecotti S., Ooguri H., and Vafa C. Holomorphic anomalies in topological field theories. Nucl. Phys. B 405 (1993) 279. hep-th/9302103
2. Bershadsky M., Cecotti S., Ooguri H., and Vafa C. Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes. Commun. Math. Phys. 165 (1994) 311. hep-th/9309140
3. Candelas P., De La Ossa X.C., Green P.S., and Parkes L. A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory. Nucl. Phys. B 359 (1991) 21
4. Walcher J. Opening mirror symmetry on the quintic. Commun. Math. Phys. 276 (2007) 671-689
5. Pandharipande R., Solomon J., and Walcher J. Disk enumeration on the quintic 3-fold. J. Am. Math. Soc. 21 (2008) 1169-1209
6. Morrison D.R., and Walcher J. D-branes and normal functions. arXiv:0709.4028 [hep-th]
7. Lerche W., Mayr P., and Warner N. Holomorphic N = 1 special geometry of open-closed type II strings. hep-th/0207259
8. Lerche W., Mayr P., and Warner N. N = 1 special geometry, mixed Hodge variations and toric geometry. hep-th/0208039
9. Antoniadis I., Narain K.S., and Taylor T.R. Open string topological amplitudes and gaugino masses. Nucl. Phys. B 729 (2005) 235. hep-th/0507244
10. Marino M. Open string amplitudes and large order behavior in topological string theory. hep-th/0612127
11. Eynard B., Marino M., and Orantin N. Holomorphic anomaly and matrix models. hep-th/0702110
12. Aganagic M., Dijkgraaf R., Klemm A., Marino M., and Vafa C. Topological strings and integrable hierarchies. Commun. Math. Phys. 261 (2006) 451. hep-th/0312085
13. Aganagic M., Neitzke A., and Vafa C. BPS microstates and the open topological string wave function. hep-th/0504054
14. Griffiths P.A. On the periods of certain rational integrals. I, II. Ann. Math. 90 (1969) 460-541
15. Griffiths P.A. Infinitesimal variations of Hodge structure. III. Determinantal varieties and the infinitesimal invariant of normal functions. Compositio Math. 50 2-3 (1983) 267-324
16. Voisin C. Une remarque sur l'invariant infinitésimal des fonctions normales. C. R. Acad. Sci. Paris Ser. I Math. 307 4 (1988) 157-160
17. Green M.L. Griffiths' infinitesimal invariant and the Abel-Jacobi map. J. Differential Geom. 29 3 (1989) 545-555
18. Yamaguchi S., and Yau S.T. Topological string partition functions as polynomials. JHEP 0407 (2004) 047. hep-th/0406078
19. Huang M.x., Klemm A., and Quackenbush S. Topological string theory on compact Calabi-Yau: Modularity and boundary conditions. hep-th/0612125
20. Gopakumar R., and Vafa C. M-theory and topological strings. I. hep-th/9809187
21. Gopakumar R., and Vafa C. M-theory and topological strings. II. hep-th/9812127
22. Ooguri H., and Vafa C. Knot invariants and topological strings. Nucl. Phys. B 577 (2000) 419. hep-th/9912123
23. Labastida J.M.F., Marino M., and Vafa C. Knots, links and branes at large N. JHEP 0011 (2000) 007. hep-th/0010102
24. Brunner I., Douglas M.R., Lawrence A.E., and Romelsberger C. D-branes on the quintic. JHEP 0008 (2000) 015. hep-th/9906200
25. Hori K., and Walcher J. D-branes from matrix factorizations. Talk at Strings '04. 28 June-2 July 2004, Paris. C. R. Phys. 5 (2004) 1061. hep-th/0409204
26. Lerche W., Vafa C., and Warner N.P. Chiral rings in N = 2 superconformal theories. Nucl. Phys. B 324 (1989) 427
27. Cecotti S., and Vafa C. Topological antitopological fusion. Nucl. Phys. B 367 (1991) 359
28. Hori K., et al. Mirror Symmetry. Clay Mathematics Monographs vol. 1 (2003), AMS
29. Ooguri H., Oz Y., and Yin Z. D-branes on Calabi-Yau spaces and their mirrors. Nucl. Phys. B 477 (1996) 407. hep-th/9606112
30. Douglas M.R. D-branes, categories and N = 1 supersymmetry. J. Math. Phys. 42 (2001) 2818. hep-th/0011017
31. Bridgeland T. Stability conditions on triangulated categories. math/0212237
32. Thomas R.P., and Yau S.-T. Special Lagrangians, stable bundles and mean curvature flow. Commun. Anal. Geom. 10 5 (2002) 1075. math/0104197
33. Herbst M., Lazaroiu C.I., and Lerche W. Superpotentials, A(infinity) relations and WDVV equations for open topological strings. JHEP 0502 (2005) 071. hep-th/0402110
34. Herbst M. Quantum A-infinity structures for open-closed topological strings. hep-th/0602018
35. Sharpe E.R. D-branes, derived categories, and Grothendieck groups. Nucl. Phys. B 561 (1999) 433. hep-th/9902116
36. Douglas M.R. D-branes, categories and N = 1 supersymmetry. J. Math. Phys. 42 (2001) 2818. hep-th/0011017
37. Lazaroiu C.I. D-brane categories. Int. J. Mod. Phys. A 18 (2003) 5299. hep-th/0305095
38. Sharpe E. Lectures on D-branes and sheaves. hep-th/0307245
39. Lazaroiu C.I. String field theory and brane superpotentials. JHEP 0110 (2001) 018. hep-th/0107162
40. Warner N.P. Supersymmetry in boundary integrable models. Nucl. Phys. B 450 (1995) 663. hep-th/9506064
41. Green M.L. Infinitesimal methods in Hodge theory. Algebraic Cycles and Hodge Theory. Torino, 1993. Lecture Notes in Mathematics vol. 1594 (1994), Springer 1-92
42. Voisin C. Hodge Theory and Complex Algebraic Geometry I, II (2002), Cambridge Univ. Press 2003
43. Witten E. Chern-Simons gauge theory as a string theory. Prog. Math. 133 (1995) 637. hep-th/9207094
44. Witten E. Branes and the dynamics of QCD. Nucl. Phys. B 507 (1997) 658-690. hep-th/9706109
45. Witten E. New issues in manifolds of SU(3) holonomy. Nucl. Phys. B 268 (1986) 79
46. Donaldson S.K., and Thomas R.P. Gauge theory in higher dimensions. The Geometric Universe (1998), Oxford Univ. Press, Oxford 31-47
47. Aganagic M., and Vafa C. Mirror symmetry, D-branes and counting holomorphic discs. hep-th/0012041
48. Donagi R., and Markman E. Cubics, integrable systems, and Calabi-Yau threefolds. Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry. Israel Math. Conf. Proc. 9 (1993) 199-221. alg-geom/9408004
49. Clemens H. Cohomology and obstructions II: Curves on K-trivial threefolds. math/0206219 with contributions by R. Thomas and C. Voisin
50. Bismut J.-M., Gillet H., and Soulé C. Analytic torsion and holomorphic determinant bundles. I. Commun. Math. Phys. 115 1 (1988) 49-78
51. Bismut J.-M., Gillet H., and Soulé C. Analytic torsion and holomorphic determinant bundles. II. Commun. Math. Phys. 115 1 (1988) 79-126
52. Bismut J.-M., Gillet H., and Soulé C. Analytic torsion and holomorphic determinant bundles. III. Commun. Math. Phys. 115 2 (1988) 301-351
53. Biswas I., and Schumacher G. Determinant bundle, Quillen metric, and Petersson-Weil form on moduli spaces. Geom. Funct. Anal. 9 2 (1999) 226-255
54. Fang H., and Lu Z. Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli. J. Reine Angew. Math. 588 (2005) 49-69. math/0310007
55. Walcher J. Evidence for tadpole cancellation in the topological string. arXiv:0712.2775 [hep-th]