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super Yang-Mills theory in spacetime dimension 10.
The equations of motion of 10d super Yang-Mills happen to be equivalent in superspace to the Bianchi identity
subject to the constraint that the bispinorial part of the curvature 2-form vanishes
(e.g. Witten 86, Atick-Dhar-Ratra 86, (4.14), Bonora-Bregola-Lechner-Pasti-Tonin 87, above (2.7)).
After embedding into heterotic supergravity this becomes parts of the torsion constraints of supergravity. See there.
In this superspace formulation the gaugino appears as the even-odd component of the super-curvature form
(where is the super vielbein). This is (Witten 86 (8), Bonora-Pasti-Tonin 87, below (11), Bonora-Bregola-Lechner-Pasti-Tonin 87, (2.27)).
The KK-compactification of super-Yang-Mills to the point is a theory whose fields are simply elements of the gauge Lie algebra, hence matrices if we have a matrix Lie algebra. The theory defined by this reduction is called the IKKT matrix model.
Bengt Nilsson, Off-shell fields for the 10-dimensional supersymmetric Yang–Mills theory, Feb 1981 (Spire)
Riccardo D'Auria, Pietro Fré, A. J. da Silva, Geometric structure of , and , super Yang-Mills theory, Nuclear Physics B 196 2 (1982) 205-239 [doi:10.1016/0550-3213(82)90036-0]
Joseph Atick, Avinash Dhar, and Bharat Ratra, Superspace formulation of ten-dimensional supergravity coupled to super Yang-Mills theory, Phys. Rev. D 33, 2824, 1986 (doi.org/10.1103/PhysRevD.33.2824)
Edward Witten, Twistor-like transform in ten dimensions, Nuclear Physics B Volume 266, Issue 2, 17 March 1986 (spire:214192, doi:10.1016/0550-3213(86)90090-8)
Loriano Bonora, Paolo Pasti, Mario Tonin, Superspace formulation of 10D SUGRA+SYM theory a la Green-Schwarz, Physics Letters B Volume 188, Issue 3, 16 April 1987, Pages 335–339 (doi:10.1016/0370-2693(87)91392-X)
Loriano Bonora, M. Bregola, Kurt Lechner, Paolo Pasti, Mario Tonin, Anomaly-free supergravity and super-Yang-Mills theories in ten dimensions, Nuclear Physics B 296 4 (1988) [doi:10.1016/0550-3213(88)90402-6, inspire:247764]
Martin Cederwall, Bengt Nilsson, Dimitrios Tsimpis, The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections, JHEP 0106:034,2001 (arXiv:hep-th/0102009)
Martin Cederwall, Bengt Nilsson, Dimitrios Tsimpis, Super-Yang-Mills at , JHEP 0107:042,2001 (arXiv:hep-th/0104236)
Mikhail Movshev, Albert Schwarz, On maximally supersymmetric Yang-Mills theories, Nucl. Phys. B681 (2004) 324-350 (arXiv:hep-th/0311132)
On scattering amplitudes in pure spinor-formalism:
Last revised on June 10, 2024 at 06:14:43. See the history of this page for a list of all contributions to it.