nLab Robbert Dijkgraaf

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Selected writings

Review of perturbative quantization of 3d Chern-Simons theory:

• Robbert Dijkgraaf, Perturbative topological field theory, In: Trieste 1993, Proceedings, String theory, gauge theory and quantum gravity ‘93 189-227 (spire:399223, pdf)

On Dijkgraaf-Witten theory:

• Robbert Dijkgraaf, Edward Witten, Topological Gauge Theories and Group Cohomology, Commun. Math. Phys. 129 (1990), 393

• Robbert Dijkgraaf, V. Pasquier, P. Roche, QuasiHopf algebras, group cohomology and orbifold models, Nucl. Phys. B Proc. Suppl. 18B (1990), 60-72; Quasi-quantum groups related to orbifold models, Modern quantum field theory (Bombay, 1990), 375–383, World Sci. 1991

On Drinfeld doubles of quasi-Hopf algebras, motivated from rational orbifold conformal field theories:

• Robbert Dijkgraaf, Vincent Pasquier, Philippe Roche, QuasiHopf algebras, group cohomology and orbifold models, Nucl. Phys. B Proc. Suppl 18 (1990) 60-72 [doi:10.1016/0920-5632(91)90123-V]

• Robbert Dijkgraaf, Vincent Pasquier, Philippe Roche, Quasi-quantum groups related to orbifold models, International Colloquium on Modern Quantum Field Theory (Bombay, 1990), 375-383, World Sci. (1991) [cds:206306, pdf]

On AdS3-CFT2 for D1/D5 brane bound states and black hole entropy in string theory:

• Robbert Dijkgraaf, Juan Maldacena, Gregory Moore, Erik Verlinde, A Black Hole Farey Tail (arXiv:hep-th/0005003, spire:526744)

On string theory vacua compactified on orbifolds and orientifolds:

• Jan de Boer, Robbert Dijkgraaf, Kentaro Hori, Arjan Keurentjes, John Morgan, David Morrison, Savdeep Sethi, section 3 of Triples, Fluxes, and Strings, Adv.Theor.Math.Phys. 4 (2002) 995-1186 (arXiv:hep-th/0103170)

On topological M-theory:

• Robbert Dijkgraaf, Sergei Gukov, Andrew Neitzke, Cumrun Vafa, Topological M-theory as Unification of Form Theories of Gravity, Adv. Theor. Math. Phys. 9 (2005) 603-665 [arXiv:hep-th/0411073, doi:10.4310/ATMP.2005.v9.n4.a5]

On topological string theory and integrable systems:

• Mina Aganagic, Robbert Dijkgraaf, Albrecht Klemm, Marcos Marino, Cumrun Vafa, Topological Strings and Integrable Hierarchies, Commun. Math. Phys. 261 (2006) 451-516 [arXiv:hep-th/0312085, doi:10.1007/s00220-005-1448-9]

• Mina Aganagic, Miranda Cheng, Robbert Dijkgraaf, Daniel Krefl, Cumrun Vafa, Quantum Geometry of Refined Topological Strings, J. High Energ. Phys. 2012 19 (2012) [arXiv:1105.0630, doi:10.1007/JHEP11(2012)019]

On The Unreasonable Effectiveness of Physics in the Mathematical Sciences:

• Michael Atiyah, Robbert Dijkgraaf, Nigel Hitchin, Geometry and physics, Phil. Trans. R. Soc. A 368 1914 (2010) 913-926 [doi:10.1098/rsta.2009.0227, pdf]

• Robbert Dijkgraaf, The Unreasonable Effectiveness Of Quantum Physics in Modern Mathematics, Perimeter Public Lecture 2014 (web, pdf slides).

Related entries

• Dijkgraaf-Witten theory

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