Robbert Dijkgraaf- Publications #


Scientific Papers (in Journals & Conference Proceedings)
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, Conformal Field Theories on Riemann Surfaces, Commun. Math. Phys. 115 (1988).
  • 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.
  • 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.
  • R. Dijkgraaf and E. Verlinde, Modular Invariance and the Fusion Algebra, Nucl. Phys. B (Proc. Suppl.) 5B (1988) 87.
  • 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.
  • R. Dijkgraaf, C. Vafa, E. Verlinde, and H. Verlinde, Operator Algebra of Orbifold Models, Commun. Math. Phys. 123 (1989) 485.
  • R. Dijkgraaf and E. Witten, Topological Gauge Theories and Group Cohomology, Commun. Math. Phys. 129 (1990) 393,
  • 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,
  • 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.
  • R. Dijkgraaf and E. Witten, Mean Field Theory, Topological Field Theory, and Multi-Matrix Models, Nucl. Phys. B342 (1990) 486.
  • 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,
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, Topological Strings in d<1, Nucl. Phys. B352 (1991) 59-86,
  • 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.
  • 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,
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, String Propagation in a Black Hole Geometry, Nucl. Phys. B 371 (1992) 269-314,
  • 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.
  • R. Dijkgraaf, Intersection Theory, Integrable Hierarchies and Topological Field Theory, in ``New Symmetry Principles in Quantum Field Theory, Ed. Mack (Plenum, 1993) 95-158,
  • R. Dijkgraaf, G. Moore, and R. Plesser, The Partition Function of 2d String Theory, Nucl.Phys. B349 (1993) 356-382,
  • R. Dijkgraaf, Integrable Hierarchies and Quantum Gravity, in ``Geometric and Quantum Aspects of Integrable Systems, Ed. G.F. Helminck (Springer-Verlag, 1993) 67-89.
  • R. Dijkgraaf, Introduction to Topological Field Theory, in TASI 1992, ``Recent Directions in Particle Theory, (1993) 689-743.
  • R. Dijkgraaf, Integrable Hierarchies and String Theory, in Rome 1992, ``String Theory, Quantum Gravity and the Unification of the Fundamental Interactions (1993) 161-182.
  • 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).
  • 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),
  • 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),
  • 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).
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, BPS Quantization of the Five-brane, Nucl. Phys B486 (1997) 89-113, (arXiv:hep-th/9604055).
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, Counting Dyons in N=4 String Theory, Nucl. Phys. B484 (1997) 543-561, (arXiv:hep-th/9607026).
  • 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).
  • R. Dijkgraaf and G. Moore, Balanced Topological Field Theories, Commun. Math. Phys. 185 (1997) 411-440, (arXiv:hep-th/9608169).
  • R. Dijkgraaf, Chiral Deformations of Conformal Field Theories, Nucl. Phys. B493 FS (1997) 588-612, (arXiv:hep-th/9609022).
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, Matrix String Theory, Nucl. Phys. B500 (1997) 43-61,
  • 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,
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, 5D Black Holes and Matrix Strings, Nucl. Phys. B506 (1997) 121-142,
  • R. Dijkgraaf, E. Verlinde, and H. Verlinde, Notes on Matrix and Micro Strings, Nucl. Phys. Proc. Suppl. 62 (1998) 348,
  • R. Dijkgraaf, J.-S. Park, and B.J. Schroers, N=4 Supersymmetric Yang-Mills Theory on a Kaehler Surface,
  • R. Dijkgraaaf, The Mathematics of Fivebranes, International Congress of Mathematicians (ICM 98), Berlin, Germany, Doc. Math. J. DMV, 1999
  • R. Dijkgraaf, Instanton Strings and HyperKaehler Geometry, Nucl. Phys. B 543 (1999) 545
  • R. Dijkgraaf, Lectures on Four-Manifolds And Topological Gauge Theories, Nucl. Phys. Proc. Suppl. 45B (1996) 29.
  • R. Dijkgraaf, On the D1-D5 conformal field theory, Classical Quantum Gravity 17 (2000), 1035-1048.
  • R. Dijkgraaf, Strings, Matrices And Black Holes, in Fre, P. (ed.) et al.: Classical and Quantum Black Holes, 77-136.
  • 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,
  • R. Dijkgraaf, The Mathematics of M-Theory, Proceedings of the 3rd European Congress of Mathematics, Barcelona, 2000, Progress in Mathematics, Birkhäuser Verlag,
  • R. Dijkgraaf, Discrete Torsion and Symmetric Products,
  • R. Dijkgraaf, J. Maldacena, G. Moore, and E. Verlinde, A Black Hole Farey Tail,
  • 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,
  • C. Bachas, J. d. Boer, R. Dijkgraaf, and H. Ooguri, Permeable Conformal Walls and Holography, JHEP 0206 (2002) 027
  • R. Dijkgraaf, E. Verlinde, and M. Vonk, On The Partition Sum of The NS Five-Brane,
  • R. Dijkgraaf and C. Vafa, Matrix Models, Topological Strings, and Supersymmetric Gauge Theories, Nucl. Phys. B644 (2002) 3-20,
  • R. Dijkgraaf and C. Vafa, On Geometry and Matrix Models, Nucl. Phys. B644 (2002) 21-39,
  • R. Dijkgraaf and C. Vafa, A Perturbative Window into Non-Perturbative Physics,
  • R. Dijkgraaf, S. Gukov, V.A. Kazakov, and C. Vafa, Perturbative Analysis of Gauged Matrix Models,
  • R. Dijkgraaf, M.T. Grisaru, C.S. Lam, C. Vafa, and D. Zanon, Perturbative Computation of Glueball Superpotentials,
  • R. Dijkgraaf, A. Neitzke, and C. Vafa, Large N Strong Coupling Dynamics in Non-Supersymmetric Orbifold Field Theories,
  • R. Dijkgraaf, A. Sinkovics, and M. Temurhan, Matrix Models and Gravitational Corrections,
  • R. Dijkgraaf and C. Vafa, N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories,

Thesis, Proceedings, Books
  • A Geometrical Approach to Two Dimensional Conformal Field Theory, Ph.D. thesis (Utrecht, 1989).
  • String Theory, Gauge Theory and Quantum Gravity, Trieste Spring School and Workshop 1993, Eds. R. Dijkgraaf et al. (World Scientific, 1994).
  • 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).
  • 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).
  • The Moduli Space of Curves, Eds. R. Dijkgraaf, C. Faber, and G. van der Geer (Birkhäuser, 1995).
  • String Theory, Gauge Theory and Quantum Gravity, Trieste Spring School and Workshop 1996, Eds. R. Dijkgraaf et al., Nucl. Phys. B (Proc. Suppl.) (1997).
  • 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
  • Een Nieuwe Revolutie in Stringtheorie, Afleiding 1 (1996) 7-11,
  • De Onredelijke Effektiviteit van de Fysica in de Moderne Wiskunde, Nederlands Tijdschrift voor Natuurkunde 62/11 (1996) 255-257.
  • Het Witten vermoeden, Jaarverslag SMC 1995.
  • Einsteins droom en de wiskundige werkelijkheid, Diesrede, 8 januari 1999, Univ. van Amsterdam (Vossiuspers AUP, Amsterdam, 1999).
  • Gevangen in een vliegend tapijt, NRC-Handelsblad, 22 april 2000.
  • Non-Commutative geometry and D-branes, FOM Jaarboek, 2000.
  • De zegentocht van de snaartheorie, Academische Boekengids 33, juni 2002.
  • Snaartheorie en quantumgravitatie, Physica-lezing 2002, Nederlands Tijdschrift voor Natuurkunde 68/5, mei 2002.
  • Wereldsystemen, Academische Boekengids 36, december 2002.
  • Het DNA van de hemel, Academische Boekengids 39, juni 2003.
  • Hoe wiskunde werkt: van natuur tot cognitie, to be pubished, Amsterdam University Press, 2003 (with J. van Benthem).

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