Permutation branes and linear matrix factorisations

Journal of High Energy Physics

Volumn , Issue 1, 2006, Pages 2195-2231

  Enger, Håkon ^a   Recknagel, Andreas ^b   Roggenkamp, Daniel ^c  

^a UNIVERSITY OF OSLO   (Norway)

^b KING'S COLLEGE LONDON   (United Kingdom)

^c DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Conformal Field Models in String Theory; D branes

Indexed keywords

EID: 33645523774     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/087     Document Type: Article

References (46)

1. M. Kontsevich, Homological algebra of mirror symmetry in Proceedings of the international congress of mathematicians pp. 120-139, Birkhäuser, Berlin 1994
2. E. Witten, Phases of N Combining double low line 2 theories in two dimensions 1993 Nucl. Phys. B 403 159 [hep-th/9301042]
3. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models 1988 Nucl. Phys. B 296 757
4. A. Recknagel and V. Schomerus, D-branes in Gepner models 1998 Nucl. Phys. B 531 185 [hep-th/9712186]
5. I. Brunner, M.R. Douglas, A.E. Lawrence and C. Römelsberger, D-branes on the quintic 2000 J. High Energy Phys. JHEP08(2000)015 [hep-th/9906200]
6. D.-E. Diaconescu and C. Römelsberger, D-branes and bundles on elliptic fibrations 2000 Nucl. Phys. B 574 245 [hep-th/9910172]
7. P. Kaste, W. Lerche, C.A. Lütken and J. Walcher, D-branes on K3-fibrations 2000 Nucl. Phys. B 582 203 [hep-th/9912147]
8. E. Scheidegger, D-branes on some one- and two-parameter Calabi-Yau hypersurfaces 2000 J. High Energy Phys. JHEP04(2000)003 [hep-th/9912188]
9. S. Govindarajan, T. Jayaraman and T. Sarkar, Worldsheet approaches to D-branes on supersymmetric cycles 2000 Nucl. Phys. B 580 519 [hep-th/9907131]
10. S. Govindarajan and 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]
11. K. Hori, A. Iqbal and C. Vafa, D-branes and mirror symmetry [hep-th/0005247]
12. N.P. Warner, Supersymmetry in boundary integrable models 1995 Nucl. Phys. B 450 663 [hep-th/9506064]
13. I. Brunner, M. Herbst, W. Lerche and B. Scheuner, Landau-Ginzburg realization of open string TFT [hep-th/0305133]
14. 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]
15. A. Kapustin and Y. Li, Topological correlators in Landau-Ginzburg models with boundaries 2004 Adv. Theor. Math. Phys. 7 727 [hep-th/0305136]
16. D. Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg models, [math.AG/0302304]
17. 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]
18. K. Hori and C. Vafa, Mirror symmetry [hep-th/0002222]
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. M. Herbst, C.-I. Lazaroiu and W. Lerche, Superpotentials, A relations and WDVV equations for open topological strings 2005 J. High Energy Phys. JHEP02(2005)071 [hep-th/0402110]
21. 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]
22. A. Recknagel, Permutation branes 2003 J. High Energy Phys. JHEP04(2003)041 [hep-th/0208119]
23. K. Hori, Boundary RG flows of N Combining double low line 2 minimal models [hep-th/0401139]
24. 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]
25. I. Brunner and M.R. Gaberdiel, Matrix factorisations and permutation branes 2005 J. High Energy Phys. JHEP07(2005)012 [hep-th/0503207]
26. J. Backelin, J. Herzog and H. Sanders, Matrix factorizations of homogeneous polynomials in Algebra - some current trends L.L. Avramov and K.B. Tchakeriam, eds., Lecture Notes in Mathematics 1352, Springer, Berlin 1988
27. D.R. Grayson and M.E. Stillman, Macaulay 2, a software system for research in algebraic geometry available at http://www.math.uiuc.edu/Macaulay2/
28. 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]
29. I. Brunner and M.R. Gaberdiel, The matrix factorisations of the D-model 2005 J. Phys. A: Math. Gen. 38 7901 [hep-th/0506208]
30. C.I. Lazaroiu, On the boundary coupling of topological Landau-Ginzburg models 2005 J. High Energy Phys. JHEP05(2005)037 [hep-th/0312286]
31. K. Hori and J. Walcher, F-term equations near Gepner points 2005 J. High Energy Phys. JHEP01(2005)008 [hep-th/0404196]
32. J. Walcher, Stability of Landau-Ginzburg branes 2005 J. Math. Phys. 46 082305 [hep-th/0412274]
33. P. Hilton, Lectures in homological algebra in Regional Conference Series in Mathematics 8, AMS, Providence 1971
34. D. Eisenbud, Homological algebra with an application to group representations 1980 Trans. Amer. Math. Soc. 260 35
35. L.L. Avramov and D.R. Grayson, Resolutions and cohomology over complete intersections in Computations in algebraic geometry with Macaulay2 D. Eisenbud, D.R. Grayson, M.G. Stillman and B. Sturmfels eds., Springer, Berlin 2001
36. I. Brunner and K. Hori, Orientifolds and mirror symmetry 2004 J. High Energy Phys. JHEP11(2004)005 [hep-th/0303135]
37. I. Brunner, K. Hori, K. Hosomichi and J. Walcher, Orientifolds of Gepner models [hep-th/0401137]
38. I. Brunner and K. Hori, Notes on orientifolds of rational conformal field theories 2004 J. High Energy Phys. JHEP07(2004)023 [hep-th/0208141]
39. L. Borisov, M.B. Halpern and C. Schweigert, Systematic approach to cyclic orbifolds 1998 Int. J. Mod. Phys. A 13 125 [hep-th/9701061]
40. 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]
41. R. Laza, G. Pfister and D. Popescu, Maximal Cohen-Macaulay modules over the cone of an elliptic curve, 2002 J. Algebra 253 209
42. C.P. Kahn, Reflexive modules on minimally elliptic singularities Math. Ann. 285 (1989) 141
43. I. Brunner, M. Herbst, W. Lerche and J. Walcher, Matrix factorizations and mirror symmetry: the cubic curve [hep-th/0408243]
44. W. Bruns and J. Herzog, Cohen-Macaulay rings, Cambridge Studies in Advanced Mathematics 39, 1993 (Cambridge University Press, Cambridge)
45. 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]
46. A. Recknagel, On permutation branes 2003 Fortschr. Phys. 51 824