Matrix factorisations and D-branes on K3

Journal of High Energy Physics

Volumn 2006, Issue 6, 2006, Pages

  Brunner, Ilka ^a   Gaberdiel, Matthias R ^a   Keller, Christoph A ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Conformal Field Models in String Theory; D branes; Topological Strings

Indexed keywords

EID: 33745756237     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/06/015     Document Type: Article

References (59)

1. H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors 1996 Nucl. Phys. B 477 407 [hep-th/9606112]
2. K. Hori, A. Iqbal and C. Vafa, D-branes and mirror symmetry [hep-th/0005247]
3. S. Govindarajan, T. Jayaraman, On the Landau-Ginzburg description of boundary CFTs and special Lagrangian submanifolds 2000 J. High Energy Phys. JHEP07(2000)016 [hep-th/0003242]
4. 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]
5. I. Brunner, M. Herbst, W. Lerche and B. Scheuner, Landau-Ginzburg realization of open string TFT [hep-th/0305133]
6. A. Kapustin and Y. Li, Topological correlators in Landau-Ginzburg models with boundaries 2004 Adv. Theor. Math. Phys. 7 727 [hep-th/0305136]
7. 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]
8. C.I. Lazaroiu, On the boundary coupling of topological Landau-Ginzburg models 2005 J. High Energy Phys. JHEP05(2005)037 [hep-th/0312286]
9. 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]
10. W. Nahm and K. Wendland, A hiker's guide to K3: aspects of N ≤ (4,4) superconformal field theory with central charge c ≤ 6 2001 Comm. Math. Phys. 216 85 [hep-th/9912067]
11. C. Caviezel, S. Fredenhagen and M.R. Gaberdiel, The RR charges of A-type Gepner models 2006 J. High Energy Phys. JHEP01(2006)111 [hep-th/0511078]
12. K. Hori and J. Walcher, F-term equations near Gepner points 2005 J. High Energy Phys. JHEP01(2005)008 [hep-th/0404196]
13. 4 Gepner model 2006 J. High Energy Phys. JHEP03(2006)102 [hep-th/0512223]
14. M.R. Douglas and C.M. Hull, D-branes and the noncommutative torus 1998 J. High Energy Phys. JHEP02(1998)008 [hep-th/9711165]
15. M.R. Gaberdiel and A. Recknagel, Conformal boundary states for free bosons and fermions 2001 J. High Energy Phys. JHEP11(2001)016 [hep-th/0108238]
16. R.A. Janik, Exceptional boundary states at c ≤ 1 2001 Nucl. Phys. B 618 675 [hep-th/0109021]
17. D. Friedan, The space of conformal boundary conditions for the c ≤ 1 Gaussian model unpublished note, 1999
18. M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories 1996 Nucl. Phys. B 463 420 [hep-th/9511222]
19. S.T. Yau and E. Zaslow, BPS states, string duality and nodal curves on K3 1996 Nucl. Phys. B 471 503 [hep-th/9512121]
20. R. Dijkgraaf, Instanton strings and hyper-Kähler geometry 1999 Nucl. Phys. B 543 545 [hep-th/9810210]
21. D. Huybrechts, Generalized Calabi-Yau structures, K3 surfaces, and B-fields, 2005 Int. J. Math. 16 no. 1 [math.AG/0306162]
22. B.R. Greene and M.R. Plesser, Duality in Calabi-Yau moduli space 1990 Nucl. Phys. B 338 15
23. I.V. Dolgachev, Mirror symmetry for lattice polarized K3 surfaces [alg-geom/9502005]
24. A. Strominger, S.-T. Yau and E. Zaslow, Mirror symmetry is T-duality 1996 Nucl. Phys. B 479 243 [hep-th/9606040]
25. C. Bartocci, U. Buzzi and G. Sanguinetti, Categorical mirror symmetry for K3 surfaces 1999 Comm. Math. Phys. 206 265 [math-ph/9911004]
26. P. Seidel, Homological mirror symmetry for the quartic surface [math.SG/0310414]
27. P.S. Aspinwall, K3 surfaces and string duality [hep-th/9611137]
28. E. Witten, Phases of N ≤ 2 theories in two dimensions 1993 Nucl. Phys. B 403 159 [hep-th/9301042]
29. A. Giveon and D.J. Smit, Symmetries on the space of (2,2) superstring vacua 1991 Nucl. Phys. B 349 168
30. K. Hori and J. Walcher, D-branes from matrix factorizations 2004 Comptes Rendus Physique 5 1061-1070 [hep-th/0409204]
31. I. Brunner and M.R. Gaberdiel, The matrix factorisations of the D-model 2005 J. Phys. A: Math. Gen. 38 7901 [hep-th/0506208]
32. I. Brunner and M.R. Gaberdiel, Matrix factorisations and permutation branes 2005 J. High Energy Phys. JHEP07(2005)012 [hep-th/0503207]
33. H. Enger, A. Recknagel and D. Roggenkamp, Permutation branes and linear matrix factorisations 2006 J. High Energy Phys. JHEP01(2006)087 [hep-th/0508053]
34. I. Brunner, M. Herbst, W. Lerche and J. Walcher, Matrix factorizations and mirror symmetry: the cubic curve [hep-th/0408243]
35. S. Govindarajan, H. Jockers, W. Lerche and N.P. Warner, Tachyon condensation on the elliptic curve [hep-th/0512208]
36. M. Herbst, W. Lerche and D. Nemeschansky, Instanton geometry and quantum A structure on the elliptic curve [hep-th/0603085]
37. J. Walcher, Stability of Landau-Ginzburg branes 2005 J. Math. Phys. 46 0823 05 [hep-th/0412274]
38. 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]
39. C. Vafa, String vacua and orbifoldized L-G-models 1989 Mod. Phys. Lett. A 4 1169
40. 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]
41. D. Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg models [math.AG/0302304]
42. 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]
43. A. Recknagel and V. Schomerus, D-branes in Gepner models 1998 Nucl. Phys. B 531 185 [hep-th/9712186]
44. A. Recknagel, Permutation branes 2003 J. High Energy Phys. JHEP04(2003)041 [hep-th/0208119]
45. S. Fredenhagen and T. Quella, Generalised permutation branes 2005 J. High Energy Phys. JHEP11(2005)004 [hep-th/0509153]
46. k2/H, [hep-th/0601061]
47. D.E. Diaconescu and M.R. Douglas, D-branes on stringy Calabi-Yau manifolds [hep-th/0006224]
48. A. Tomasiello, D-branes on Calabi-Yau manifolds and helices 2001 J. High Energy Phys. JHEP02(2001)008 [hep-th/0010217]
49. P. Mayr, Phases of supersymmetric D-branes on Kähler manifolds and the McKay correspondence 2001 J. High Energy Phys. JHEP01(2001)018 [hep-th/0010223]
50. S. Govindarajan and T. Jayaraman, D-branes, exceptional sheaves and quivers on Calabi-Yau manifolds: from Mukai to McKay 2001 Nucl. Phys. B 600 457 [hep-th/0010196]
51. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models 1988 Nucl. Phys. B 296 757
52. D. Gepner, Lectures on N ≤ 2 string theory Lectures at Spring School on Superstrings, Trieste, Italy, Apr 3-14, 1989
53. 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]
54. 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]
55. E. Dell'Aquila, D-branes in toroidal orbifolds and mirror symmetry [hep-th/0512051]
56. C. Schmidt-Colinet, in preparation
57. 3 1976 J. Fac. Sci. Univ. Tokyo Sec. IA 23 545
58. M.R. Gaberdiel and H. Klemm, N ≤ 2 superconformal boundary states for free bosons and fermions 2004 Nucl. Phys. B 693 281 [hep-th/0404062]
59. M. Ademollo et al., Dual string models with nonabelian color and flavor symmetries 1976 Nucl. Phys. B 114 297