Fetching the paper…
Reading the bibliography…
A non-associative Groenewold-Moyal plane is constructed using quaternion-valued function algebras.
“Supersymmetry and Kahler Manifolds”
B. Zumino · 1979
Earlier work this paper cites.
“The theory of Lie super-algebras: an introduction´´
M. Scheunert · 1979
Earlier work this paper cites.
“Ricci Flat Kahler Manifolds And Supersymmetry”
L. Alvarez-Gaume; D. Z. Freedman · 1980
Earlier work this paper cites.
“Kahler Geometry and the Renormalization of Supersymmetric Sigma Models”
L. Alvarez-Gaume; D. Z. Freedman · 1980
Earlier work this paper cites.
“Geometrical Structure and Ultraviolet Finiteness in the Supersymmetric Sigma Model”
L. Alvarez-Gaume; D. Z. Freedman · 1981
Earlier work this paper cites.
“Supersymmetry and the Division Algebras”
T. Kugo and P. K. Townsend · 1983
Earlier work this paper cites.
“Supersymmetry and non-linear sigma models”
M. Rocek · 1985
Earlier work this paper cites.
“Quaternionic quantum field theory”
S. L. Adler · 1985
Earlier work this paper cites.
“Quaternionic quantum field theory”
S. L. Adler · 1986
Earlier work this paper cites.
“The Dirac equation on the quaternion field”
P. Rotelli · 1989
Earlier work this paper cites.
“Nonstandard signature of space-time, superstrings and the split composition algebras”
R. Foot and G. C. Joshi · 1990
Earlier work this paper cites.
“The Quaternion scalar field”
S. De Leo; P. Rotelli · 1992
Earlier work this paper cites.
“Noncommutative geometry´´
Alain Connes · 1994
Earlier work this paper cites.
“Quaternionic Quantum Mechanics and Quantum Fields”
S. L. Adler · 1995
Earlier work this paper cites.
“An Introduction to Nonassociative Algebras”
R. Schafer · 1996
Earlier work this paper cites.
“Seven sphere and the exceptional N=7 and N=8 superconformal algebras”
M. Gunaydin; S. V. Ketov · 1996
Cited alongside, same era.
“K3 surfaces and string duality”
P. S. Aspinwall · 1996
Cited alongside, same era.
“About Nonassociativity algebras in mathematics and physics”
J. Lohmus; E. Paal; L.Sorgsepp · 1998
Cited alongside, same era.
“Nonassociative geometry and discrete structure of space-time”
A. I. Nesterov; L. V. Sabinin · 1999
Cited alongside, same era.
“Nonassociative geometry: Towards discrete structure of space-time”
A. I. Nesterov; L. V. Sabinin · 2000
Cited alongside, same era.
“Nonassociative geometry of special relativity”
L. Sbitneva · 2001
Cited alongside, same era.
“Modeling multiple M2’s”
J. Bagger and N. Lambert · 2007
Later among the works it cites.
“Generalised hyperKahler manifolds in string theory”
B. Ezhuthachan; D. Ghoshal · 2007
Later among the works it cites.
“Non-associativity, supersymmetry and ’hidden variables’ ”
V. Dzhunushaliev · 2008
Later among the works it cites.
“Gauge Symmetry and Supersymmetry of Multiple M2-Branes”
J. Bagger and N. Lambert · 2008
Later among the works it cites.
“Octonions, G 2 G_{2} and generalized Lie 3 − 3- algebras”
M. Yamazaki · 2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“Principal loop bundles: Toward nonassociative gauge theories”
A. I. Nesterov · 2001
Cited alongside, same era.
“The octonions”
J. C. Baez · 2002
Cited alongside, same era.
“Quantum field theory on noncommutative spaces”
R. J. Szabo · 2003
Cited alongside, same era.
“On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT”
M. Chaichian; P. P. Kulish; K.Nishijima; A. Tureanu · 2004
Cited alongside, same era.
“Introduction to Octonion and Other Non-Associative Algebras in Physics”
S. Okubo · 2005
Cited alongside, same era.
“Quaternions in mathematical physics. 1. Alphabetical bibliography”
A. Gsponer; J.-P. Hurni · 2005
Cited alongside, same era.
A. P. Balachandran; A. Pinzul; B. A. Qureshi · 2008
Later among the works it cites.
“ 3 − 3- algebras and N = 6 N=6 Chern-Simons gauge theories”
J. Bagger and N. Lambert · 2009
Later among the works it cites.
“Algebraic structures on parallel M 2 − M2- branes”
A. Gustavsson · 2009
Later among the works it cites.
“Quantum Theory, Noncommutativity and Heuristics”
E. Akofor · 2010
Later among the works it cites.
“Nonassociative Gravity in String Theory?”
R. Blumenhagen; E. Plauschinn · 2011
Later among the works it cites.
“Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry”
F. R. Blumenhagen; A. Deser; D. Lust; E. Plauschinn; F. Rennecke · 2011
Later among the works it cites.
“Lie 3 − 3- algebra and super-affinization of split-octonions”
S. Giardino; H. L. Carrion · 2011
Later among the works it cites.
“The emergent nature of time and the complex numbers in quantum cosmology”
G. W. Gibbons · 2011
Later among the works it cites.
“Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds”
D. Mylonas; P. Schupp; R. J. Szabo · 2012
Closest in time.