SUPERSYMMETRY
Supersymmetry is a theoretical framework in physics that proposes a symmetry between two basic classes of particles: bosons, which carry forces, and fermions, which make up matter. This symmetry helps to unify different fundamental forces and provides solutions to several theoretical problems, such as the hierarchy problem in particle physics. Supersymmetry has profound implications in both mathematics and physics, connecting algebraic structures with geometric properties and playing a crucial role in the development of string theory and the understanding of the universe at its most fundamental level.
Partially generated by ChuckGPT, a custom GPT trained on my papers.
Partially generated by ChuckGPT, a custom GPT trained on my papers.
- K2 and Quantum Curves. Charles Doran, Matt Kerr, Soumya Sinha Babu. To appear in Advances in Theoretical and Mathematical Physics (2023): 51 pages
- Geometrization of N-Extended 1-Dimensional Supersymmetry Algebras, II. Charles Doran, Kevin Iga, Jordan Kostiuk, Stefan Méndez-Diez. Advances in Theoretical and Mathematical Physics, Volume 22, Issue 3 (2018).
- Off-shell Supersymmetry and Filtered Clifford Supermodules. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2017; Algebras and Representation Theory, DOI: 101007/s10468-017-9718-8, July 2017
- Vertical D4-D2-D0 Bound States on K3 Fibrations and Modularity. Vincent Bouchard, Thomas Creutzig, Duiliu-Emanuel Diaconescu, Charles Doran, Callum Quigley, Artan Sheshmani; 2017; Communications in Mathematical Physics 350, 1069-1121 (2017)
- An Application of Cubical Cohomology to Adinkras and Supersymmetry Representations. Charles Doran, Kevin Iga, Greg Landweber; 2017; Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, Volume 4, Issue 3, 2017, 387-415
- Geometrization of N-Extended 1-Dimensional Supersymmetry Algebras, I. Charles Doran, Kevin Iga, Jordan Kostiuk, Greg Landweber, Stefan Méndez-Diez; 2015; Advances in Theoretical and Mathematical Physics, Volume 19 (2015) Number 5, pp 1043-1113
- On General Off-Shell Representations of Worldline (1D) Supersymmetry. Charles Doran, Tristan Hübsch, Kevin Iga, Gregory Landweber; 2014; Symmetry, 2014, 6(1), pp. 67-88
- Codes and Supersymmetry in One Dimension. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber, Robert Miller; 2011; Advances in Theoretical and Mathematical Physics, Volume 15, Number 6 (2011), 1909-1970
- A Superfield for Every Dash-Chromotopology. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2009; International Journal of Modern Physics A, Vol 24, Issue 30, pp. 5681-5695
- Frames for Supersymmetry. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2009; International Journal of Modern Physics A, Vol 24, Issue 14 (2009) pp. 2665-2676
- Super-Zeeman Embedding Models on N-Supersymmetric World-Lines. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2009; Journal of Physics A: Mathematical and Theoretical, Vol 42. 065402
- On the Matter of N = 2 Matter. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2008; Physics Letters B, Volume 659, Issues 1-2, 17, Pages 441-446
- Counterexamples to a Putative Classification of 1-Dimensional, N-extended Supermultiplets. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2007; Advanced Studies in Theoretical Physics, Vol 2, no 3, 99 – 111
- Adinkras and the Dynamics of Superspace Prepotentials. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2008; Advanced Studies in Theoretical Physics, Vol 2, no 3, 113 – 164
- On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields. Charles Doran, Michael Faux, Jim Gates, Tristan Hübsch, Kevin Iga, Greg Landweber; 2007; International Journal of Modern Physics A, Vol 22, No 5, 869-930
- A “Periodic Table” for Supersymmetric M-Theory Compactifications. Charles Doran, Michael Faux; 2003; Journal of Mathematical Physics, 44, 2853-2873
- Four-Dimensional N = 1 Super Yang-Mills Theory from an M-Theory Orbifold. Charles Doran, Michael Faux, Burt Ovrut; 2002 ; Advances in Theoretical and Math Phys, 6, 329-355
- Intersecting Branes in M-Theory and Chiral Matter in Four Dimensions. Charles Doran, Michael Faux; 2002; Journal of High Energy Physics, JHEP08, 024
- An Introduction to Supersymmetry Using Adinkras. Charles Doran, Michael Faux, Tristan Hübsch, Kevin Iga, Ursula Whitcher. Book in preparation. 557 pages