Abstract
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 H 1 (T, script O signF(-2)), of the twistor space T corresponding to X. They are shown to form a symmetry algebra - a "CP 1-extension" of the gauge symmetry algebra of a 2D sigma model which generalizes the Kac-Moody algebra as well as W ∞.
| Original language | English |
|---|---|
| Pages (from-to) | 105-110 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 257 |
| Issue number | 1-2 |
| Publication status | Published - 1991 Dec 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Self-dual Yang-Mills (+gravity) as a 2D sigma model. / Park, Q Han.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 257, No. 1-2, 01.12.1991, p. 105-110.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Self-dual Yang-Mills (+gravity) as a 2D sigma model
AU - Park, Q Han
PY - 1991/12/1
Y1 - 1991/12/1
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 H 1 (T, script O signF(-2)), of the twistor space T corresponding to X. They are shown to form a symmetry algebra - a "CP 1-extension" of the gauge symmetry algebra of a 2D sigma model which generalizes the Kac-Moody algebra as well as W ∞.
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 H 1 (T, script O signF(-2)), of the twistor space T corresponding to X. They are shown to form a symmetry algebra - a "CP 1-extension" of the gauge symmetry algebra of a 2D sigma model which generalizes the Kac-Moody algebra as well as W ∞.
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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 -