TY - JOUR
T1 - Self-dual Yang-Mills (+gravity) as a 2D sigma model
AU - Park, Q. Han
N1 - Funding Information:
t Research supported in part by NSF grant # PHY88-16001.
PY - 1991/3/21
Y1 - 1991/3/21
N2 - The 4D self-dual Yang-Mills gauge theory on a self-dual space X is shown to be equivalent to a 2D sigma model valued in infinite dimensional gauge groups. Infinitesimal symmetries of the self-dual equation are obtained in terms of the sheaf cohomology group H1(T, OF(-2)), of the twistor space T corresponding to X. They are shown to form a symmetry algebra - a "CP1-extension" of the gauge symmetry algebra of a 2D sigma model which generalizes the Kac-Moody algebra as well as Wt8.
AB - The 4D self-dual Yang-Mills gauge theory on a self-dual space X is shown to be equivalent to a 2D sigma model valued in infinite dimensional gauge groups. Infinitesimal symmetries of the self-dual equation are obtained in terms of the sheaf cohomology group H1(T, OF(-2)), of the twistor space T corresponding to X. They are shown to form a symmetry algebra - a "CP1-extension" of the gauge symmetry algebra of a 2D sigma model which generalizes the Kac-Moody algebra as well as Wt8.
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U2 - 10.1016/0370-2693(91)90866-O
DO - 10.1016/0370-2693(91)90866-O
M3 - Article
AN - SCOPUS:9344251489
VL - 257
SP - 105
EP - 110
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -