nLab Jim Gates

Sylvester James Gates Jr., known as Jim Gates, works on supersymmetry, supergravity and superstring theory.

• institute page

• Wikipedia entry

• InSpire page

• MathGenealogy page

Selected writings

Formulating supergravity in superspace:

• Warren Siegel, S. James Gates Jr., Superfield supergravity, Nuclear Physics B 147 1–2 (1979) 77-104 [doi:10.1016/0550-3213(79)90416-4]

• S. James Gates Jr., Kellogg S. Stelle, Peter C. West Algebraic origins of superspace constraints in supergravity, Nuclear Physics B 169 3–4 (1980) 347-364 [doi:10.1016/0550-3213(80)90037-1]

• S. James Gates Jr., On-shell and conformal $N=4$ supergravity in superspace, Nuclear Physics B 213 3 (1983) 409-444 [doi:10.1016/0550-3213(83)90229-8]

On supersymmetry via superspace:

• Jim Gates Jr, Marcus Grisaru, Martin Roček, Warren Siegel, Superspace, or One thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1-548 [arXiv:hep-th/0108200, inspire:195126]

On Green-Schwarz anomaly cancellation in heterotic supergravity:

• S. James Gates Jr., Hitoshi Nishino: New $D = 10$, $\mathcal{N} = 1$ supergravity coupled to Yang-Mills supermultiplet and anomaly cancellations, Physics Letters B 157 2–3 (1985) 157-163 [doi:10.1016/0370-2693(85)91537-0, spire:16413]

Early consideration of the idea of superstring sigma-models where both the worldsheet as well as the target spacetime are treated as supermanifolds is due (under the name “supersymmetry squared”, cf. the superembedding approach):

• S. James Gates Jr., Hitoshi Nishino: $D = 2$ superfield supergravity, local $(supersymmetry)^2$ and non-linear 2 models, Classical and Quantum Gravity 3 3 (1986) 391-399 [doi:10.1088/0264-9381/3/3/013, spire:217518]

• R. Brooks, F. Muhammad, S. James Gates Jr.: Matter Coupled to $D=2$ Simple Unidexterous Supergravity, Local $(Supersymmetry)^2$ and Strings, Class. Quant. Grav. 3 5 (1986) 745-751 [doi:10.1088/0264-9381/3/5/005, spire:237390]

On type IIA supergravity formulated in superspace:

• James L. Carr, S. James Gates Jr., Robert N. Oerter: $D = 10$, $N = 2a$ Supergravity in Superspace, Physics Letters B 189 1–2 (1987) 68-74 [doi:10.1016/0370-2693(87)91271-8, spire:235791]

On Riemann normal coordinates in supergeometry with application to sigma-models:

• Sylvester James Gates Jr., Marcus Grisaru, Marcia E. Knutt-Wehlau, Warren Siegel, Component actions from curved superspace: Normal coordinates and ectoplasm, Physics Letters B 421 1–4, 5 (1998) 203-210 [doi:10.1016/S0370-2693(97)01557-8]

and to supergravity:

• Marcus Grisaru, Marcia E. Knutt-Wehlau, Warren Siegel, A Superspace normal coordinate derivation of the density formula, Nucl. Phys. B 523 (1998) 663-679 [doi:10.1016/S0550-3213(98)00151-5, arXiv:hep-th/9711120]

Early discussion of coupling the Green-Schwarz superstring to general background fields in $D=4$:

• S. James Gates Jr.: Progress Toward Covariant Formulation of All $D=4$ GS-type $\sigma$-model Actons, in: Superstrings and Particle Theory, Proceedings of the Conference in Tuscaloosa 8–11 November 1989, World Scientific (1990) [doi:10.1142/1051, pdf]

On supersymmetry via adinkras:

• Michael Faux, Jim Gates, Adinkras: A Graphical Technology for Supersymmetric Representation Theory, Phys. Rev. D 71 (2005) 065002 [hep-th/0408004, doi:10.1103/PhysRevD.71.065002]

• 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]

• Jim Gates, J. Gonzales, B. MacGregor, J. Parker, R. Polo-Sherk, V. G. J. Rodgers, L. Wassink, $4D$, $\mathcal{N} = 1$ Supersymmetry Genomics (I), JHEP 0912:008 (2009) [arXiv:0902.3830, doi:10.1088/1126-6708/2009/12/008]

• Jim Gates, Tristan Hübsch, Kory Stiffler, Adinkras and SUSY Holography, Int. J. Mod. Phys. A 29 7 (2014) 1450041 [arXiv:1208.5999, doi;10.1142/S0217751X14500419]

• Jim Gates, Yangrui Hu, S.-N. Hazel Mak, Adinkra Foundation of Component Decomposition and the Scan for Superconformal Multiplets in 11D, $\mathcal{N} = 1$ Superspace [arXiv:2002.08502, doi:10.1007/JHEP09(2020)089]

• Mathew Calkins, D. E. A. Gates, Jim Gates Jr., Kory Stiffler, Adinkras, 0-branes, Holoraumy and the SUSY QFT/QM Correspondence, International Journal of Modern Physics A 30 11 (2015) 1550050 [arXiv:1501.00101, doi:10.1142/S0217751X15500505]

• S. James Gates Jr., Isaiah B. Hilsenrath, Saul Hilsenrath: Modern Tensor-Spinor Symbolic Algebra Algorithms and Computing Non-Closure Geometry & Holoraumy in $11D$, $\mathcal{N} = 1$ Supergravity [arXiv:2212.00614]

Relating adinkras to cellular automata?:

• S. James Gates Jr., Youngik (Tom) Lee: A Précis: Minimal Four Color Holoraumy and Wolfram’s “New Kind of Science” Paradigm [arXiv:2408.09342]

Related entries

• 4d supergravity

• parameterized WZW model

• adinkra

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