Unitarity, D-brane dynamics and D-brane categories

Journal of High Energy Physics

Volumn 5, Issue 12, 2001, Pages

  Lazaroiu, Câlin Luliu ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

D branes; Topological field theories

Indexed keywords

EID: 33744759596     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/12/031     Document Type: Article

References (39)

1. C. I. Lazaroiu, Generalized complexes and string field theory, hep-th/0102122.
2. A. Sen, B. Zwiebach, Tachyon condensation in string field theory, JHEP 0003 (2000) 002, hep-th/9912249;
3. L. Rastelli, A. Sen, B. Zwiebach, String Field Theory Around the Tachyon Vacuum, hep-th/0012251;
4. J. A. Minahan, B. Zwiebach, Effective Tachyon Dynamics in Superstring Theory, hep-th/0009246;
5. N. Moeller, A. Sen, B. Zwiebach, D-branes as Tachyon Lumps in String Field Theory, JHEP 0008 (2000) 039;
6. N. Berkovits, A. Sen, B. Zwiebach, Tachyon Condensation in Superstring Field Theory; W. Taylor, D-brane effective field theory from string field theory, Nucl.Phys. B585 (2000) 171-192;
7. D. Kutasov, M. Marino, G. Moore, Some Exact Results on Tachyon Condensation in String Field Theory, hep-th/0009148;
8. D. Kutasov, M. Marino, G. Moore, Remarks on Tachyon Condensation in Superstring Field Theory, hep-th/0010108;
9. A. A. Gerasimov, S. L. Shatashvili, On Exact Tachyon Potential in Open String Field Theory, JHEP 0010 (2000) 034.
10. S. Mac Lane, Categories for the working mathematician, Graduate texts in mathematics, 5, New York, Springer, 1971.
11. A. N. Rudakov et al, Helices and vector bundles (translated by A. D. King, P. Kobak and A. Maciocia), London Mathematical Society lecture note series 148, Cambridge University Press, 1990.
12. e serie, t. 27 (1994), pp 63-102.
13. A. Bondal, M. M. Kapranov, Enhanced triangulated categories, Mat. Sb. 181 (1990), No.5, 669, English translation in Math. USSR Sbornik Vol 70 (1991), No. 1, 93.
14. E. Witten, D-branes and K-theory, JHEP 9812:019, 1998.
15. E. Witten, Overview Of K-Theory Applied To Strings, hep-th/0007175.
16. P. Seidel, Graded Lagrangian submanifolds,In: Northern California Sym-plectic Geometry Seminar, AMS Translations vol. 196, 1999, pp. 237-250, math.SG/9903049.
17. B. Keller, Introduction to A-infinity algebras and modules, math.RA/9910179.
18. M. R. Douglas, B. Fiol, C. Romelsberger, Stability and BPS branes, hep-th/0002037.
19. Y. Oz, T. Pantev, D. Waldram, Brane-Antibrane Systems on Calabi-Yau Spaces, hep-th/0009112.
20. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys, B268 (1986) 253.
21. C. I. Lazaroiu, On the structure of open-closed topological field theory in two dimensions, hep-th/0010269.
22. C. I. Lazaroiu, Instanton amplitudes in open-closed topological string theory, hep-th/0011257.
23. C. Hofman, W. K. Ma, Deformations of topological open strings, hep-th/006120.
24. M. Kontsevich, Homological algebra of mirror symmetry, Proceedings of the International Congress of Mathematicians, (Zurich, 1994), 120–139, Birkhauser, alg-geom/9411018.
25. G. Moore, Some Comments on Branes, G-flux, and K-theory, hep-th/0012007.
26. J. A. Harvey, G. Moore, Noncommutative Tachyons and K-Theory, hep-th/0009030.
27. M. Douglas, D-branes, Categories and N=1 Supersymmetry, hep-th/0011017.
28. ∞-category and Floer homologies, in Proceedings of the GARC Workshop on Geometry and Topology, ed. by H. J. Kim, Seoul national University (1994), 1-102;
29. ∞-categories and topological field theory, in Geometry and Physics, Lecture notes in pure and applied mathematics, 184, pp 9-32, Dekker, New York, 1997; Floer homology and Mirror symmetry, I, preprint available at http://www.kusm.kyoto−u.ac.jp/˜fukaya/fukaya.html.
30. K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono, Lagrangian intersection Floer theory-anomaly and obstructon, preprint available at http://www.kusm.kyoto−u.ac.jp/˜fukaya/fukaya.html.
31. E. Witten, Chern-Simons gauge theory as a string theory, The Floer memorial volume, 637–678, Progr. Math., 133, Birkhauser, Basel, 1995, hep-th/9207094.
32. E. Witten, Topological sigma models, Commun. Math. Phys. 118 (1988),411.
33. E. Witten, Mirror manifolds and topological field theory, In S.T. Yau, S.T. (ed.): Mirror symmetry I* 121-160, hep-th/9112056.
34. B. Zwiebach, Oriented open-closed string theory revisited, Annals. Phys. 267 (1988), 193, hep-th/9705241.
35. M. Gaberdiel, B. Zwiebach, Tensor constructions of open string theories I:Foundations, Nucl. Phys B505 (1997), 569, hep-th/9705038.
36. M. Kontsevich, Deformation quantisation of Poisson Manifolds, I, mat/9709010.
37. Alberto S. Cattaneo, Giovanni Felder, A path integral approach to the Kontsevich quantization formula, math.QA/9902090.
38. C. I. Lazaroiu and S. Popescu, in preparation.
39. Jae-Suk Park, Topological open p-branes, hep-th/0012141.