nLab Charles Doran

Charles Doran is a professor of mathematics at the University of Alberta.

• webpage

Selected writings

On supersymmetry via adinkras:

• Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber, On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields, Int. J. Mod. Phys. A 22 , (2007) 869-930 [arXiv:math-ph/0512016, doi:10.1142/S0217751X07035112]

• Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber, Off-shell supersymmetry and filtered Clifford supermodules, Algebr Represent Theor 21 (2018) 375–397 &lbraclarXiv:math-ph/0603012, doi:10.1007/s10468-017-9718-8]

• Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber, Adinkras and the Dynamics of Superspace Prepotentials [arXiv:hep-th/0605269, InSpire:717895]

• Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber, R. L. Miller, Codes and Supersymmetry in One Dimension, Adv. Theor. Math. Phys. 15 (2011) 1909-1970 [arXiv:1108.4124, doi;10.4310/ATMP.2011.v15.n6.a7]

On the relation of adinkras to special super Riemann surfaces via dessins d'enfants:

• Charles Doran, Kevin Iga, Greg Landweber, Stefan Méndez-Diez, Geometrization of $\mathcal{N}$-Extended 1-Dimensional Supersymmetry Algebras, Adv. Theor. Math. Phys. 19 5 (2015) 1043-1113 [arXiv:1311.3736, doi:10.4310/ATMP.2015.v19.n5.a4, pdf]

• Charles Doran, Kevin Iga, Jordan Kostiuk, Stefan Méndez-Diez, Geometrization of $\mathcal{N}$-Extended 1-Dimensional Supersymmetry Algebras II, Adv. Theor. Math> Physics 22 3 (2018) [arXiv:1610.09983]

On orientifold Gepner models:

• Brandon Bates, Charles Doran, Koenraad Schalm, Crosscaps in Gepner Models and the Moduli space of $T^2$ Orientifolds, Advances in Theoretical and Mathematical Physics, Volume 11, Number 5, 839-912, 2007 (arXiv:hep-th/0612228)

On D-brane charge and T-duality in orientifolds formulated in KR-theory (cf. also KSC-theory):

• Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg: T-duality For Orientifolds and Twisted KR-theory, Lett. Math. Phys. 104 11 (2014) 1333-1364 [arXiv:1306.1779, doi:10.1007/s11005-014-0715-0]

• Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg: String theory on elliptic curve orientifolds and KR-theory, Commun. Math. Phys. 335 (2015) 955–1001 [arXiv:1402.4885, doi:10.1007/s00220-014-2200-0]

On the mirror map and related Picard-Fuchs equations

• Charles F. Doran, Picard-Fuchs uniformization: modularity of the mirror map and mirror-moonshine, arxiv:math.AG/9812162

Related entries

• adinkra

• mirror symmetry

category: people