nLab Richard Szabo

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Selected writings

On noncommutative field theory (QFT on noncommutative spacetimes):

• Richard Szabo: Quantum Field Theory on Noncommutative Spaces, Physics Reports 378 4 (2003) 207-299 [doi;10.1016/S0370-1573(03)00059-0, arXiv:hep-th/0109162]

On Donaldson-Thomas theory and Hilbert schemes:

• Michele Cirafici, Annamaria Sinkovics, Richard Szabo, Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory, Nucl. Phys. B 809 452-518 (2009) [arXiv:0803.4188]

On abelian higher gauge theory via Whitehead-generalized differential cohomology:

• Richard J. Szabo: Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology, PoS ICMP 2012 (2013) 009 [arXiv:1209.2530, doi:10.22323/1.175.0009]

On self-dual higher gauge theory on Lorentzian spacetimes via ordinary differential cohomology:

• Christian Becker, Marco Benini, Alexander Schenkel, Richard Szabo, Abelian duality on globally hyperbolic spacetimes, Commun. Math. Phys. 349 (2017) 361-392 [arXiv:1511.00316, doi:10.1007/s00220-016-2669-9]

Discussion of twists of KR-theory by HZR-theory in degree 3 via bundle gerbes (Jandl gerbes) suitable for classifying D-brane charge on orientifolds:

• Pedram Hekmati, Michael Murray, Richard Szabo, Raymond Vozzo, Real bundle gerbes, orientifolds and twisted KR-homology, Advances in Theoretical and Mathematical Physics Volume 23 (2019) Number (arXiv:1608.06466, doi:10.4310/ATMP.2019.v23.n8.a5)

• Pedram Hekmati, Michael Murray, Richard Szabo, Raymond Vozzo, Sign choices for orientifolds (arXiv:1905.06041)

On Pontryagin duality for Cheeger-Simons differential characters:

• Christian Becker, Marco Benini, Alexander Schenkel, Richard J. Szabo: Cheeger-Simons differential characters with compact support and Pontryagin duality, Communications in Analysis and Geometry 27 7 (2019) 1473-1522 [arXiv:1511.00324, doi:10.4310/CAG.2019.v27.n7.a2]

On the first-order formulation of gravity via $L_\infty$-algebras:

• Marija Dimitrijević Ćirić, Grigorios Giotopoulos, Voja Radovanović, Richard J. Szabo, $L_\infty$-Algebras of Einstein-Cartan-Palatini Gravity, J. Math. Phys., 61 112502 (2020) [arXiv:2003.06173, doi:10.1063/5.0011344]

On the type II geometry (doubled geometry) of para-Hermitian manifolds:

• Vincenzo Emilio Marotta, Richard J. Szabo, Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality, Reviews in Mathematical Physics 33 09 (2021) 2150031 [arXiv:1910.09997, doi:10.1142/S0129055X21500318]

On mathematical physics:

• Richard Szabo, Martin Bojowald (eds.): Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [ISBN:9780323957038]

On nonassociative algebras of quantum observables, such as for electrons in the background of magnetic monopole density (cf. there):

• Richard J. Szabo: Magnetic monopoles and nonassociative deformations of quantum theory, J. Phys.: Conf. Ser. 965 (2018) 012041 [doi:10.1088/1742-6596/965/1/012041, arXiv:1709.10080]

• Richard J. Szabo: An Introduction to Nonassociative Physics, PoS 347 (2019) [doi:10.22323/1.347.0100, arXiv:1903.05673]

• Peter Schupp, Richard J. Szabo: An algebraic formulation of nonassociative quantum mechanics, J. Phys. A: Math. Theor. 57 (2024) 235302 [arXiv:2311.03647, doi:10.1088/1751-8121/ad4935]

On connections on smooth principal infinity-bundles via splittings of higher Atiyah Lie algebroids:

• Severin Bunk, Lukas Müller, Joost Nuiten, Richard J. Szabo: Symmetries and Higher-Form Connections in Derived Differential Geometry [arXiv:2602.03441]

category: people