Matrix factorisations and open topological string theory

Journal of High Energy Physics

Volumn 2009, Issue 7, 2009, Pages

  Carqueville, Nils ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

D branes; Non Commutative Geometry; Topological Field Theories; Topological Strings

Indexed keywords

EID: 70350037564     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/07/005     Document Type: Article

References (46)

1. S.K. Ashok, E. Dell'Aquila and D.-E. Diaconescu, 2004 Fractional branes in Landau-Ginzburg orbifolds, Adv. Theor. Math. Phys. 8 461 [hep-th/0401135]
2. P.S. Aspinwall and S.H. Katz, 2006 Computation of superpotentials for D-branes, Commun. Math. Phys. 264 227 [hep-th/0412209]
3. P.S. Aspinwall and A.E. Lawrence, 2001 Derived categories and zero-brane stability J. High Energy Phys. JHEP08(2001)004 [hep-th/0104147]
4. I. Brunner, M.R. Douglas, A.E. Lawrence and C. Romelsberger, 2000 D-branes on the quintic J. High Energy Phys. JHEP08(2000)015 [hep-th/9906200]
5. I. Brunner, M. Herbst, W. Lerche and B. Scheuner, 2006 Landau-Ginzburg realization of open string TFT J. High Energy Phys. JHEP11(2006)043 [hep-th/0305133]
6. N. Carqueville, 2008 Triangle-generation in topological D-brane categories J. High Energy Phys. JHEP04(2008)031 [0802.1624]
7. K. Costello, Topological conformal field theories and Calabi-Yau categories, [math.QA/0412149]
8. M.R. Douglas, 2001 D-branes, categories and N=1 supersymmetry, J. Math. Phys. 42 2818 [hep-th/0011017]
9. T. Eguchi and S.-K. Yang, 1990 N=2 superconformal models as topological field theories, Mod. Phys. Lett. A 5 1693
10. H. Enger, A. Recknagel and D. Roggenkamp, 2006 Permutation branes and linear matrix factorisations J. High Energy Phys. JHEP01(2006)087 [hep-th/0508053]
11. V. Ginzburg, Double derivations and cyclic homology, [math.KT/0505236]
12. V. Ginzburg, Lectures on noncommutative geometry, [math.AG/0506603]
13. G.-M. Greuel, G. Pfister and H. Schönemann, 2005 Singular 3.0, A computer algebra system for polynomial computations, Centre for Computer Algebra, University of Kaiserslautern, Germany, http://www.singular.uni-kl.de
14. P. Griffiths and J. Harris, 1994 Principles of algebraic geometry, Wiley-Interscience, U.S.A.
15. A. Hamilton and A. Lazarev, Homotopy algebras and noncommutative geometry, [math.QA/0410621]
16. M. Herbst, K. Hori and D. Page, Phases of N=2 theories in 1+1 dimensions with boundary, [0803.2045]
17. M. Herbst and C.I. Lazaroiu, 2005 Localization and traces in open-closed topological Landau-Ginzburg models J. High Energy Phys. JHEP05(2005)044 [hep-th/0404184]
18. M. Herbst, C.-I. Lazaroiu and W. Lerche, 2005 Superpotentials, A relations and WDVV equations for open topological strings J. High Energy Phys. JHEP02(2005)071 [hep-th/0402110]
19. C. Hofman and W.-K. Ma, 2001 Deformations of topological open strings J. High Energy Phys. JHEP01(2001)035 [hep-th/0006120]
20. P. Howe and P. West, 1989 Chiral correlators in Landau-Ginzburg theories and N=2 superconformal models, Phys. Lett. B 227 397
21. P. Howe and P. West, 1989 N=2 superconformal models, Landau-Ginsburg hamiltonians and the expansion, Phys. Lett. B 223 377
22. P. Howe and P. West, 1990 Fixed points in multifield Landau-Ginsburg models, Phys. Lett. B 244 270
23. T. Kadeishvili, 1980 On the homology theory of fibre spaces Uspekhi Mat. Nauk. 35 183 (in Russian) [math.AT/0504437]
24. T. Kadeishvili, 1980 Math. Surveys 35 231 (in English)
25. A. Kapustin and Y. Li, 2003 D-Branes in Landau-Ginzburg models and algebraic geometry J. High Energy Phys. JHEP12(2003)005 [hep-th/0210296]
26. A. Kapustin and Y. Li, 2004 Topological correlators in Landau-Ginzburg models with boundaries, Adv. Theor. Math. Phys. 7 727 [hep-th/0305136]
27. D.A. Kastor, E.J. Martinec and S.H. Shenker, 1989 RG flow in N=1 discrete series, Nucl. Phys. B 316 590
28. M. Kontsevich, 1994 Homological algebra of mirror symmetry, talk at International Congress of Mathematicians 1994, August 3-11, Zurich, Switzerland, [alg-geom/9411018]
29. M. Kontsevich, 1993 Formal (non)commutative symplectic geometry, The Gelfand Mathematical Seminars 1990-1992, Fields Institute Communications, Birkhäuser, Boston U.S.A.
30. M. Kontsevich and Y. Soibelman, Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I, [math.RA/0606241]
31. M. Kontsevich and Y. Soibelman, 2000 Homological mirror symmetry and torus fibrations, published in Symplectiv Geometry and Mirror Symmetry, K. Fukaya et al. eds., World Scientific Publishing Company, U.S.A., [math.SG/0011041]
32. C.I. Lazaroiu, unpublished
33. C.I. Lazaroiu, Generating the superpotential on a D-brane category. I, [hep-th/0610120]
34. C.I. Lazaroiu, 2003 D-brane categories, Int. J. Mod. Phys. A 18 5299 [hep-th/0305095]
35. C.I. Lazaroiu, 2005 On the boundary coupling of topological Landau-Ginzburg models J. High Energy Phys. JHEP05(2005)037 [hep-th/0312286]
36. C.I. Lazaroiu, 2005 On the non-commutative geometry of topological D-branes J. High Energy Phys. JHEP11(2005)032 [hep-th/0507222]
37. K. Lefèvre-Hasegawa, 2003 Sur les A-infini catégories, Ph.D. thesis, Université de Paris 7, Paris, France, [math.CT/0310337]
38. E.J. Martinec, 1989 Algebraic geometry and effective lagrangians, Phys. Lett. B 217 431
39. nd edition, Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge U.K.
40. S.A. Merkulov, 1999 Strongly homotopy algebras of a Kähler manifold Internat. Math. Res. Notices 3 153 [math.AG/9809172]
41. D. Orlov, Derived categories of coherent sheaves and triangulated categories of singularities, [math.AG/0503632]
42. E.R. Sharpe, 1999 D-branes, derived categories and Grothendieck groups, Nucl. Phys. B 561 433 [hep-th/9902116]
43. C. Vafa, 1991 Topological Landau-Ginzburg models, Mod. Phys. Lett. A 6 337
44. C. Vafa and N.P. Warner, 1989 Catastrophes and the Classification of Conformal Theories, Phys. Lett. B 218 51
45. E. Witten, Mirror manifolds and topological field theory, [hep-th/9112056]
46. E. Witten, 1993 Phases of N=2 theories in two dimensions, Nucl. Phys. B 403 159 [hep-th/9301042]