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 -