D-brane superpotentials and RG flows on the quintic

Journal of High Energy Physics

Volumn 2007, Issue 7, 2007, Pages

  Baumgartl, Marco ^a   Brunner, Ilka ^a   Gaberdiel, Matthias R ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Conformal field models in string theory; D branes; Topological strings

Indexed keywords

EID: 34547665061     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/07/061     Document Type: Article

References (54)

1. A. Albano and S. Katz, Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture 1991 Trans. Amer. Math. Soc. 324 353
2. A. Kapustin and Y. Li, D-branes in Landau-Ginzburg models and algebraic geometry 2003 J. High Energy Phys. JHEP12(2003)005 [hep-th/0210296]
3. I. Brunner, M. Herbst, W. Lerche and B. Scheuner, Landau-Ginzburg realization of open string TFT 2006 J. High Energy Phys. JHEP11(2006)043 [hep-th/0305133]
4. 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
5. S. Fredenhagen, M.R. Gaberdiel and C.A. Keller, Bulk induced boundary perturbations 2007 J. Phys. A: Math. Gen. 40 F17 [hep-th/0609034]
6. M. Baumgartl, I. Sachs and S.L. Shatashvili, Factorization conjecture and the open/closed string correspondence 2005 J. High Energy Phys. JHEP05(2005)040 [hep-th/0412266]
7. M. Baumgartl and I. Sachs, Open-closed string correspondence: D-brane decay in curved space 2007 J. High Energy Phys. JHEP03(2007)024 [hep-th/0611112]
8. A. Kapustin and Y. Li, Topological correlators in Landau-Ginzburg models with boundaries 2004 Adv. Theor. Math. Phys. 7 727 [hep-th/0305136]
9. I. Brunner, M.R. Douglas, A.E. Lawrence and C. Romelsberger, D-branes on the quintic 2000 J. High Energy Phys. JHEP08(2000)015 [hep-th/9906200]
10. S.K. Ashok, E. Dell'Aquila, D.-E. Diaconescu and B. Florea, Obstructed D-branes in Landau-Ginzburg orbifolds 2004 Adv. Theor. Math. Phys. 8 427 [hep-th/0404167]
11. M. Aganagic and C. Vafa, Mirror symmetry, D-branes and counting holomorphic discs [hep-th/0012041]
12. H. Clemens, Cohomology and obstructions II: curves on K-trivial threefolds [math.AG/0206219]
13. E. Witten, Chern-Simons gauge theory as a string theory 1995 Prog. Math. 133 637 [hep-th/9207094]
14. M. Herbst, C.-I. Lazaroiu and W. Lerche, Superpotentials, A(infinity) relations and WDVV equations for open topological strings 2005 J. High Energy Phys. JHEP02(2005)071 [hep-th/0402110]
15. I. Brunner and V. Schomerus, On superpotentials for D-branes in Gepner models 2000 J. High Energy Phys. JHEP10(2000)016 [hep-th/0008194]
16. I. Runkel, Boundary structure constants for the A-series virasoro minimal models 1999 Nucl. Phys. B 549 563 [hep-th/9811178]
17. K. Hori and J. Walcher, F-term equations near Gepner points 2005 J. High Energy Phys. JHEP01(2005)008 [hep-th/0404196]
18. J. Walcher, Opening mirror symmetry on the quintic [hep-th/0605162]
19. M.R. Douglas, S. Govindarajan, T. Jayaraman and A. Tomasiello, D-branes on Calabi-Yau manifolds and superpotentials 2004 Comm. Math. Phys. 248 85 [hep-th/0203173]
20. P.S. Aspinwall, Topological D-branes and commutative algebra [hep-th/0703279]
21. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models 1988 Nucl. Phys. B 296 757
22. D. Gepner, Exactly solvable string compactifications on manifolds of SU(N) holonomy, 1987 Phys. Lett. B 199 380
23. B.R. Greene, C. Vafa and N.P. Warner, Calabi-Yau manifolds and renormalization group flows 1989 Nucl. Phys. B 324 371
24. E. Witten, Phases of N ≤ 2 theories in two dimensions 1993 Nucl. Phys. B 403 159 [hep-th/9301042]
25. A. Recknagel, Permutation branes 2003 J. High Energy Phys. JHEP04(2003)041 [hep-th/0208119]
26. M.R. Gaberdiel and S. Schafer-Nameki, D-branes in an asymmetric orbifold 2003 Nucl. Phys. B 654 177 [hep-th/0210137]
27. A. Kapustin and Y. Li, D-branes in topological minimal models: the Landau-Ginzburg approach 2004 J. High Energy Phys. JHEP07(2004)045 [hep-th/0306001]
28. C.I. Lazaroiu, On the boundary coupling of topological Landau-Ginzburg models 2005 J. High Energy Phys. JHEP05(2005)037 [hep-th/0312286]
29. M. Herbst and C.-I. Lazaroiu, Localization and traces in open-closed topological Landau- Ginzburg models 2005 J. High Energy Phys. JHEP05(2005)044 [hep-th/0404184]
30. M. Herbst, C.-I. Lazaroiu and W. Lerche, D-brane effective action and tachyon condensation in topological minimal models 2005 J. High Energy Phys. JHEP03(2005)078 [hep-th/0405138]
31. S. Govindarajan, H. Jockers, W. Lerche and N.P. Warner, Tachyon condensation on the elliptic curve 2007 Nucl. Phys. B 765 240 [hep-th/0512208]
32. I. Brunner, M.R. Gaberdiel and C.A. Keller, Matrix factorisations and D-branes on K3 2006 J. High Energy Phys. JHEP06(2006)015 [hep-th/0603196]
33. H. Jockers, D-brane monodromies from a matrix-factorization perspective 2007 J. High Energy Phys. JHEP02(2007)006 [hep-th/0612095]
34. I. Brunner, M. Herbst, W. Lerche and J. Walcher, Matrix factorizations and mirror symmetry: the cubic curve 2006 J. High Energy Phys. JHEP11(2006)006 [hep-th/0408243]
35. D. Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg models [math.AG/0302304]
36. P.S. Aspinwall, The Landau-Ginzburg to Calabi-Yau dictionary for D-branes [hep-th/0610209]
37. M. Herbst, K. Hori and D. Page, to appear and various talks
38. B. Ezhuthachan, S. Govindarajan and T. Jayaraman, A quantum McKay correspondence for fractional 2p-branes on LG orbifolds 2005 J. High Energy Phys. JHEP08(2005)050 [hep-th/0504164]
39. I. Brunner and M.R. Gaberdiel, Matrix factorisations and permutation branes 2005 J. High Energy Phys. JHEP07(2005)012 [hep-th/0503207]
40. H. Enger, A. Recknagel and D. Roggenkamp, Permutation branes and linear matrix factorisations 2006 J. High Energy Phys. JHEP01(2006)087 [hep-th/0508053]
41. S.K. Ashok, E. Dell'Aquila and D.-E. Diaconescu, Fractional branes in Landau-Ginzburg orbifolds 2004 Adv. Theor. Math. Phys. 8 461 [hep-th/0401135]
42. J. Walcher, Stability of Landau-Ginzburg branes 2005 J. Math. Phys. 46 082305 [hep-th/0412274]
43. A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes 1999 Nucl. Phys. B 545 233 [hep-th/9811237]
44. D. Friedan and A. Konechny, On the boundary entropy of one-dimensional quantum systems at low temperature 2004 Phys. Rev. Lett. 93 030402 [hep-th/0312197]
45. M. Aganagic, A. Klemm and C. Vafa, Disk instantons, mirror symmetry and the duality web 2002 Z. Naturforsch. A 57 1 [hep-th/0105045]
46. P. Mayr, N ≤ 1 mirror symmetry and open/closed string duality 2002 Adv. Theor. Math. Phys. 5 213 [hep-th/0108229]
47. W. Lerche and P. Mayr, On N ≤ 1 mirror symmetry for open type-II strings [hep-th/0111113]
48. W. Lerche, P. Mayr and N. Warner, N ≤ 1 special geometry, mixed Hodge variations and toric geometry [hep-th/0208039]
49. S. Govindarajan, T. Jayaraman and T. Sarkar, Disc instantons in linear sigma models 2002 Nucl. Phys. B 646 498 [hep-th/0108234]
50. S. Govindarajan and H. Jockers, Effective superpotentials for B-branes in Landau-Ginzburg models 2006 J. High Energy Phys. JHEP10(2006)060 [hep-th/0608027]
51. R. Dijkgraaf, H.L. Verlinde and E.P. Verlinde, Topological strings in d < 1 1991 Nucl. Phys. B 352 59
52. 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]
53. S. Kachru, S.H. Katz, A.E. Lawrence and J. McGreevy, Mirror symmetry for open strings 2000 Phys. Rev. D 62 126005 [hep-th/0006047]
54. S. Lang, Introduction to algebraic and abelian functions 2nd edition, Springer (1955)