Details
| Original language | English |
|---|---|
| Pages (from-to) | 65-72 |
| Number of pages | 8 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 473 |
| Issue number | 1-2 |
| Publication status | Published - 27 Jan 2000 |
Abstract
We introduce a new class of gauge field theories in any complex dimension, based on algebra-valued (p,q)-forms on complex n-manifolds. These theories are holomorphic analogs of the well-known Chern-Simons and BF topological theories defined on real manifolds. We introduce actions for different special holomorphic BF theories on complex, Kahler and Calabi-Yau manifolds and describe their gauge symmetries. Candidate observables, topological invariants and relations to integrable models are briefly discussed. (C) 2000 Elsevier Science B.V.
Keywords
- Action functionals, Holomorphic structures, Topological gauge theories
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 473, No. 1-2, 27.01.2000, p. 65-72.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Holomorphic analogs of topological gauge theories
AU - Popov, Alexander D.
PY - 2000/1/27
Y1 - 2000/1/27
N2 - We introduce a new class of gauge field theories in any complex dimension, based on algebra-valued (p,q)-forms on complex n-manifolds. These theories are holomorphic analogs of the well-known Chern-Simons and BF topological theories defined on real manifolds. We introduce actions for different special holomorphic BF theories on complex, Kahler and Calabi-Yau manifolds and describe their gauge symmetries. Candidate observables, topological invariants and relations to integrable models are briefly discussed. (C) 2000 Elsevier Science B.V.
AB - We introduce a new class of gauge field theories in any complex dimension, based on algebra-valued (p,q)-forms on complex n-manifolds. These theories are holomorphic analogs of the well-known Chern-Simons and BF topological theories defined on real manifolds. We introduce actions for different special holomorphic BF theories on complex, Kahler and Calabi-Yau manifolds and describe their gauge symmetries. Candidate observables, topological invariants and relations to integrable models are briefly discussed. (C) 2000 Elsevier Science B.V.
KW - Action functionals
KW - Holomorphic structures
KW - Topological gauge theories
UR - http://www.scopus.com/inward/record.url?scp=17944403449&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(99)01464-1
DO - 10.1016/S0370-2693(99)01464-1
M3 - Article
AN - SCOPUS:17944403449
VL - 473
SP - 65
EP - 72
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 -