D-branes and deformation quantization

Journal of High Energy Physics

Volumn 3, Issue 6, 1999, Pages

  Schomerus, Volker ^a,b  

^a UNIVERSITY OF HAMBURG   (Germany)

^b Institut Mittag Leffler   (Sweden)

Author keywords

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

Indexed keywords

EID: 33646049373     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/1999/06/030     Document Type: Article

References (20)

1. J. Polchinski, TASI lectures on D-branes, hep-th/9611050.
2. J. Fröhlich and K. Gawedzki, Conformai field theory and the geometry of strings, CRM Proceedings and Lecture Notes, Vol. 7 (1994) 57 [hep-th/9310187].
3. J. Frohlich, O. Grandjean and A. Recknagel, Super-symmetric quantum theory and differential geometry, Comm. Math. Phys. 193 (1996) 527 [hep-th/9612205]; Supersymmetric quantum theory and noncommutative geometry, Comm. Math. Phys. 203 (1999) 119 [math-ph/9807006]; Super-symmetric quantum theory, noncommutative geometry, and gravitation, lectures given at Les Houches Summer School on Theoretical Physics, 1995, hep-th/9706132.
4. G. Landi, F. Lizzi and R.J. Szabo, String geometry and the noncommutative torus, hep-th/9806099.
5. M.R. Douglas and C. Hull, D-branes and the non-commutative torus, J. High Energy Phys. 2 (1998) 8 [hep-th/9711165].
6. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031]; F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Mixed branes and M(atrix) theory on noncommutative torus, hep-th/9803067; Noncommutative geometry from strings and branes, J. High Energy Phys. 9902 (1999) 016 [hep-th/9810072]; H. Garcia-Compean, On the deformation quantization description of matrix compactifications, Nucl. Phys. B 541 (1999) 651 [hep-th/9804188]; M. Kato and T. Kuroki, World volume noncommutativity versus target space noncommutativity, J. High Energy Phys. 9903 (1999) 012 [hep-th/9902004].
7. C. Chu and P. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219].
8. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: Compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
9. J.L. Cardy, Conformai invariance and statistical mechanics, lectures given at the Les Houches Summer School on Fields, strings and critical phenomena, E. Brezin, J. ZinnJustin (eds.), Elsevier, New York, 1989; P. Ginsparg, Applied conformai field theory, lectures given at the Les Houches Summer School on Fields, strings and critical phenomena, E. Brezin, J. Zinn-Justin (eds.), Elsevier, New York, 1989.
10. A.S. Cattaneo and G. Felder, A path integral approach to the Kontsevich quantization formula, [math. QA/9902090].
11. M. Kontsevich, Deformation quantization of Poisson manifolds, [q-alg/9709040].
12. A. Abouelsaood, G.G. Callan, C.R. Nappi and S.A. Yost, Open strings in background gauge fields, Nucl. Phys. B 280 (1987) 599.
13. D.C. Lewellen, Sewing constraints for conformai field theories on surfaces with boundaries, Nucl. Phys. B 372 (1992) 654.
14. G. Pradisi, A. Sagnotti and Y. Stanev, Completeness conditions for boundary operators in 2D conformai field theory, Phys. Lett. B 381 (1996) 97 [hep-th/9603097].
15. I. Runkel, Boundary structure constants for the A-series Virasoro minimal models, Nucl. Phys. B 549 (1999) 563 [hep-th/9811178].
16. A. Connes, Noncommutative geometry, Academic Press, 1994.
17. L. Alvarez-Gaumé, D.Z. Freedman and S. Mukhi, The background field method and the ultraviolet structure of the super symmetric nonlinear sigma model, Ann. Phys. (NY) 134 (1981) 85.
18. A.Yu. Alekseev and V. Schomerus, D-branes in the WZW-model, Phys. Rev. D, in press, hep-th/9812193.
19. A.Yu. Alekseev, A. Recknagel and V. Schomerus, D-branes on SU(2) and fuzzy spheres, in preparation.
20. A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].