Details
| Original language | English |
|---|---|
| Article number | 026015 |
| Journal | Physical Review D |
| Volume | 104 |
| Issue number | 2 |
| Publication status | Published - 26 Jul 2021 |
Abstract
We consider the twistor space P6≅R4×CP1 of R4 with a nonintegrable almost complex structure J such that the canonical bundle of the almost complex manifold (P6,J) is trivial. It is shown that J-holomorphic Chern-Simons theory on a real (6|2)-dimensional graded extension P6|2 of the twistor space P6 is equivalent to self-dual Yang-Mills theory on Euclidean space R4 with Lorentz invariant action. It is also shown that adding a local term to a Chern-Simons-type action on P6|2, one can extend it to a twistor action describing full Yang-Mills theory.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D, Vol. 104, No. 2, 026015, 26.07.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A twistor space action for Yang-Mills theory
AU - Popov, Alexander D.
N1 - Funding Information: This work was supported by the Deutsche Forschungsgemeinschaft Grant No. LE 838/19.
PY - 2021/7/26
Y1 - 2021/7/26
N2 - We consider the twistor space P6≅R4×CP1 of R4 with a nonintegrable almost complex structure J such that the canonical bundle of the almost complex manifold (P6,J) is trivial. It is shown that J-holomorphic Chern-Simons theory on a real (6|2)-dimensional graded extension P6|2 of the twistor space P6 is equivalent to self-dual Yang-Mills theory on Euclidean space R4 with Lorentz invariant action. It is also shown that adding a local term to a Chern-Simons-type action on P6|2, one can extend it to a twistor action describing full Yang-Mills theory.
AB - We consider the twistor space P6≅R4×CP1 of R4 with a nonintegrable almost complex structure J such that the canonical bundle of the almost complex manifold (P6,J) is trivial. It is shown that J-holomorphic Chern-Simons theory on a real (6|2)-dimensional graded extension P6|2 of the twistor space P6 is equivalent to self-dual Yang-Mills theory on Euclidean space R4 with Lorentz invariant action. It is also shown that adding a local term to a Chern-Simons-type action on P6|2, one can extend it to a twistor action describing full Yang-Mills theory.
UR - http://www.scopus.com/inward/record.url?scp=85112021845&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.104.026015
DO - 10.1103/PhysRevD.104.026015
M3 - Article
AN - SCOPUS:85112021845
VL - 104
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 026015
ER -