Publications Robbert Dijkgraaf (Aug, 2003)

Scientific Papers (in Journals & Conference Proceedings)

  1. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Conformal Field Theories on Riemann Surfaces, Commun. Math. Phys. 115 (1988).
  2. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Conformal Field Theory at c=1, in ``Nonperturbative Quantum Field Theory,'' Proceedings of the 1987 Cargèse Summer School, G. 't Hooft et al. eds. (Plenum, New York, 1988) 577-590.
  3. R. Dijkgraaf, E. Verlinde, and H. Verlinde, On Moduli Spaces of Conformal Field Theories with c>=1 , in ``Perspectives in String Theory,'' P. Di Vecchia and J.L. Petersen eds. (World Scientific, 1988) 117-137.
  4. R. Dijkgraaf and E. Verlinde, Modular Invariance and the Fusion Algebra, Nucl. Phys. B (Proc. Suppl.) 5B (1988) 87.
  5. R. Dijkgraaf, Recent Progress in Rational Conformal Field Theory, in Les Houches, Session XLIX, 1988, ``Fields, Strings and Critical Phenomena,'' E. Brézin and J. Zinn-Justin eds. (Elsevier 1990), 291-304.
  6. R. Dijkgraaf, C. Vafa, E. Verlinde, and H. Verlinde, Operator Algebra of Orbifold Models, Commun. Math. Phys. 123 (1989) 485.
  7. R. Dijkgraaf and E. Witten, Topological Gauge Theories and Group Cohomology, Commun. Math. Phys. 129 (1990) 393, [ps,pdf].
  8. R. Dijkgraaf, V. Pasquier, and Ph. Roche, Quasi-Quantum Groups Related to Orbifold Models, in the Proceedings of the ``International Colloquium on Modern Quantum Field Theory,'' Tata Institute of Fundamental Research, 375-383, [ps].
  9. R. Dijkgraaf, V. Pasquier, and Ph. Roche, Quasihopf Algebras, Group Cohomology and Orbifold Models, in Annecy 1990, ``Recent advances in field theory,'' Nucl. Phys. Proc. Suppl. 18B (1990) 60-72, in Pavia 1990, ``Integrable systems and quantum groups,'' 75-98.
  10. R. Dijkgraaf and E. Witten, Mean Field Theory, Topological Field Theory, and Multi-Matrix Models, Nucl. Phys. B342 (1990) 486.
  11. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Loop Equations and Virasoro Constraints in Non-Perturbative 2-D Quantum Gravity, Nucl. Phys. B348 (1991) 435-456, [ps,pdf]
  12. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Topological Strings in d<1, Nucl. Phys. B352 (1991) 59-86, [ps,pdf].
  13. R. Dijkgraaf and H. Verlinde, Topological Strings and Loop Equations, in the Proceedings of the Workshop on ``Random Surfaces, Quantum Gravity and Strings,'' Cargèse 1990 (Plenum Press, 1991), 53-76.
  14. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Notes on Topological String Theory and 2D Gravity, in `` String Theory and Quantum Gravity,'' Proceedings of the Trieste Spring School 1990, Eds. M. Green et al. (World-Scientific, 1991), 91-156, [ps,pdf].
  15. R. Dijkgraaf, E. Verlinde, and H. Verlinde, String Propagation in a Black Hole Geometry, Nucl. Phys. B 371 (1992) 269-314, [ps,pdf].
  16. R. Dijkgraaf, Topological Field Theory and 2D Quantum Gravity, Proceedings of the Winter School on ``2D Quantum Gravity and Random Surfaces,'' Jerusalem 1990/91, 191-238.
  17. R. Dijkgraaf, Intersection Theory, Integrable Hierarchies and Topological Field Theory, in ``New Symmetry Principles in Quantum Field Theory,'' Ed. Mack (Plenum, 1993) 95-158, [arXiv:hep-th/9201003].
  18. R. Dijkgraaf, G. Moore, and R. Plesser, The Partition Function of 2d String Theory, Nucl.Phys. B349 (1993) 356-382, [arXiv:hep-th/9208031].
  19. R. Dijkgraaf, Integrable Hierarchies and Quantum Gravity, in ``Geometric and Quantum Aspects of Integrable Systems,'' Ed. G.F. Helminck (Springer-Verlag, 1993) 67-89.
  20. R. Dijkgraaf, Introduction to Topological Field Theory, in TASI 1992, ``Recent Directions in Particle Theory,'' (1993) 689-743.
  21. R. Dijkgraaf, Integrable Hierarchies and String Theory, in Rome 1992, ``String Theory, Quantum Gravity and the Unification of the Fundamental Interactions'' (1993) 161-182.
  22. R. Dijkgraaf, Perturbative Topological Field Theory, in ``String Theory, Gauge Theory and Quantum Gravity,'' Trieste Spring School and Workshop 1993, Eds. R. Dijkgraaf et al. (World Scientific, 1994).
  23. R. Dijkgraaf, Mirror Symmetry and Elliptic Curves, in ``The Moduli Space of Curves,'' Eds. R. Dijkgraaf, C. Faber and G. van der Geer (Birkhäuser, 1995), [ps,pdf].
  24. R. Dijkgraaf, Lectures on Four-Manifolds and Topological Gauge Theories, in Nucl. Phys. B (Proc. Suppl.) 45B,C (1996) 29-45, and in ``Gauge Theories, Applied Supersymmetry, Quantum Gravity'' Eds. B. de Wit et al. (Leuven Notes in Mathematical and Theoretical Physics, Vol. 6), [ps,pdf].
  25. R. Dijkgraaf, E. Verlinde, and H. Verlinde, BPS Spectrum of the Five-Brane and Black Hole Entropy, Nucl. Phys. B486 (1997) 77-88, [arXiv:hep-th/960312].
  26. R. Dijkgraaf, E. Verlinde, and H. Verlinde, BPS Quantization of the Five-brane, Nucl. Phys B486 (1997) 89-113, [arXiv:hep-th/9604055].
  27. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Counting Dyons in N=4 String Theory, Nucl. Phys. B484 (1997) 543-561, [arXiv:hep-th/9607026].
  28. R. Dijkgraaf, G. Moore, E. Verlinde, and H. Verlinde, Elliptic Genera of Symmetric Products and Second Quantized Strings, Commun. Math. Phys. 185 (1997) 197-209, [arXiv:hep-th/9608096].
  29. R. Dijkgraaf and G. Moore, Balanced Topological Field Theories, Commun. Math. Phys. 185 (1997) 411-440, [arXiv:hep-th/9608169].
  30. R. Dijkgraaf, Chiral Deformations of Conformal Field Theories, Nucl. Phys. B493 [FS] (1997) 588-612, [arXiv:hep-th/9609022].
  31. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Matrix String Theory, Nucl. Phys. B500 (1997) 43-61, [arXiv:hep-th/9703030].
  32. R. Dijkgraaf, Les Houches Lectures on Fields, Strings and Duality, in ``Quantum Symmetries,'' Les Houches LXIV, 1995, Eds. A. Connes, K. Gawedzki, J. Zinn-Justin Elsevier, Amsterdam, 1998, 3-147, [arXiv:hep-th/9703136].
  33. R. Dijkgraaf, E. Verlinde, and H. Verlinde, 5D Black Holes and Matrix Strings, Nucl. Phys. B506 (1997) 121-142, [arXiv:hep-th/9704018].
  34. R. Dijkgraaf, E. Verlinde, and H. Verlinde, Notes on Matrix and Micro Strings, Nucl. Phys. Proc. Suppl. 62 (1998) 348, [arXiv:hep-th/9709107].
  35. R. Dijkgraaf, J.-S. Park, and B.J. Schroers, N=4 Supersymmetric Yang-Mills Theory on a Kaehler Surface, [arXiv:hep-th/9801066].
  36. R. Dijkgraaaf, The Mathematics of Fivebranes, International Congress of Mathematicians (ICM 98), Berlin, Germany, Doc. Math. J. DMV, 1999 [arXiv:hep-th/9810157]
  37. R. Dijkgraaf, Instanton Strings and HyperKaehler Geometry, Nucl. Phys. B 543 (1999) 545 [arXiv:hep-th/9810210].
  38. R. Dijkgraaf, Lectures on Four-Manifolds And Topological Gauge Theories, Nucl. Phys. Proc. Suppl. 45B (1996) 29.
  39. R. Dijkgraaf, On the D1-D5 conformal field theory, Classical Quantum Gravity 17 (2000), 1035-1048.
  40. R. Dijkgraaf, Strings, Matrices And Black Holes, in Fre, P. (ed.) et al.: Classical and Quantum Black Holes, 77-136.
  41. R. Dijkgraaf, Fields, Strings, Matrices and Symmetric Products, in Moduli of Curves and Abelian Varieties, The Dutch Intercity Seminar on Moduli, C. Faber and E. Looijenga (eds.), Vieweg, Aspects of Mathematics E33, 1999, 151-199, [arXiv:hep-th/9912104].
  42. R. Dijkgraaf, The Mathematics of M-Theory, Proceedings of the 3rd European Congress of Mathematics, Barcelona, 2000, Progress in Mathematics, Birkhäuser Verlag, [ps].
  43. R. Dijkgraaf, Discrete Torsion and Symmetric Products, [arXiv:hep-th/9912101].
  44. R. Dijkgraaf, J. Maldacena, G. Moore, and E. Verlinde, A Black Hole Farey Tail, [arXiv:hep-th/005003].
  45. J. de Boer, R. Dijkgraaf, K. Hori, A. Keurentjes, J. Morgan, D. R. Morrison, and S. Sethi, Triples, Fluxes, and Strings, Adv. Theor. Math. Phys. 4 (2002) 995-1186, [arXiv:hep-th/0103170].
  46. C. Bachas, J. d. Boer, R. Dijkgraaf, and H. Ooguri, Permeable Conformal Walls and Holography, JHEP 0206 (2002) 027 [arXiv:hep-th/0111210].
  47. R. Dijkgraaf, E. Verlinde, and M. Vonk, On The Partition Sum of The NS Five-Brane, [arXiv:hep-th/0205281].
  48. R. Dijkgraaf and C. Vafa, Matrix Models, Topological Strings, and Supersymmetric Gauge Theories, Nucl. Phys. B644 (2002) 3-20, [arXiv:hep-th/0206255].
  49. R. Dijkgraaf and C. Vafa, On Geometry and Matrix Models, Nucl. Phys. B644 (2002) 21-39, [arXiv:hep-th/0207106].
  50. R. Dijkgraaf and C. Vafa, A Perturbative Window into Non-Perturbative Physics, [arXiv:hep-th/0208048].
  51. R. Dijkgraaf, S. Gukov, V.A. Kazakov, and C. Vafa, Perturbative Analysis of Gauged Matrix Models, [arXiv:hep-th/0210238].
  52. R. Dijkgraaf, M.T. Grisaru, C.S. Lam, C. Vafa, and D. Zanon, Perturbative Computation of Glueball Superpotentials, [arXiv:hep-th/0211017].
  53. R. Dijkgraaf, A. Neitzke, and C. Vafa, Large N Strong Coupling Dynamics in Non-Supersymmetric Orbifold Field Theories, [arXiv:hep-th/0211194].
  54. R. Dijkgraaf, A. Sinkovics, and M. Temurhan, Matrix Models and Gravitational Corrections, [arXiv:hep-th/0211241].
  55. R. Dijkgraaf and C. Vafa, N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories, [arXiv:hep-th/0302011].

     

Thesis, Proceedings, Books

  1. A Geometrical Approach to Two Dimensional Conformal Field Theory, Ph.D. thesis (Utrecht, 1989).
  2. String Theory, Gauge Theory and Quantum Gravity, Trieste Spring School and Workshop 1993, Eds. R. Dijkgraaf et al. (World Scientific, 1994).
  3. String Theory, Gauge Theory and Quantum Gravity, Trieste Spring School and Workshop 1994, Eds. R. Dijkgraaf et al., Nucl. Phys. B, Proc. Suppl. 41 (1995).
  4. String Theory, Gauge Theory and Quantum Gravity, Trieste Spring School and Workshop 1995, Eds. R. Dijkgraaf et al., Nucl. Phys. B (Proc. Suppl.) 45B,C (1996).
  5. The Moduli Space of Curves, Eds. R. Dijkgraaf, C. Faber, and G. van der Geer (Birkhäuser, 1995).
  6. String Theory, Gauge Theory and Quantum Gravity, Trieste Spring School and Workshop 1996, Eds. R. Dijkgraaf et al., Nucl. Phys. B (Proc. Suppl.) (1997).
  7. Strings 97, Proceedings of the International Conference Strings 97, Amsterdam, 16-21 Jun, 1997. Eds: F.A. Bais, E.A. Bergshoeff, B. de Wit, R. Dijkgraaf, A.N. Schellekens, E.P. Verlinde, and H.L. Verlinde, Nucl. Phys. B (Proc. Suppl) 68 (1998).

Popular publications

  1. Een Nieuwe Revolutie in Stringtheorie, Afleiding 1 (1996) 7-11, [ps].
  2. De Onredelijke Effektiviteit van de Fysica in de Moderne Wiskunde, Nederlands Tijdschrift voor Natuurkunde 62/11 (1996) 255-257.
  3. Het Witten vermoeden, Jaarverslag SMC 1995.
  4. Einsteins droom en de wiskundige werkelijkheid, Diesrede, 8 januari 1999, Univ. van Amsterdam (Vossiuspers AUP, Amsterdam, 1999).
  5. Gevangen in een vliegend tapijt, NRC-Handelsblad, 22 april 2000.
  6. Non-Commutative geometry and D-branes, FOM Jaarboek, 2000.
  7. De zegentocht van de snaartheorie, Academische Boekengids 33, juni 2002.
  8. Snaartheorie en quantumgravitatie, Physica-lezing 2002, Nederlands Tijdschrift voor Natuurkunde 68/5, mei 2002.
  9. Wereldsystemen, Academische Boekengids 36, december 2002.
  10. Het DNA van de hemel, Academische Boekengids 39, juni 2003.
  11. Hoe wiskunde werkt: van natuur tot cognitie, to be pubished, Amsterdam University Press, 2003 (with J. van Benthem).