On D-brane charge and T-duality in orientifolds formulated in KR-theory:
Stefan Méndez-Diez, Jonathan Rosenberg: K-theoretic matching of brane charges in S- and U-duality, Adv. Theor. Math. Phys. 16 6 (2012) 1591–1618 [doi:10.4310/ATMP.2012.v16.n6.a1, arXiv:1007.1202]
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 relation of adinkras to special super Riemann surfaces via dessins d'enfants:
Charles Doran, Kevin Iga, Greg Landweber, Stefan Méndez-Diez, Geometrization of -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 -Extended 1-Dimensional Supersymmetry Algebras II, Adv. Theor. Math. Physics 22 3 (2018) [arXiv:1610.09983, pdf]
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