Details
| Original language | English |
|---|---|
| Pages (from-to) | 361-373 |
| Number of pages | 13 |
| Journal | Nuclear Physics B |
| Volume | 894 |
| Publication status | Published - 2015 |
Abstract
We consider the Hermitian Yang-Mills (instanton) equations for connections on vector bundles over a 2n-dimensional Kähler manifold X which is a product Y×. Z of p- and q-dimensional Riemannian manifold Y and Z with p+. q=2. n. We show that in the adiabatic limit, when the metric in the Z direction is scaled down, the gauge instanton equations on Y×. Z become sigma-model instanton equations for maps from Y to the moduli space M (target space) of gauge instantons on Z if q≥. 4. For q<. 4 we get maps from Y to the moduli space M of flat connections on Z. Thus, the Yang-Mills instantons on Y×. Z converge to sigma-model instantons on Y while Z shrinks to a point. Put differently, for small volume of Z, sigma-model instantons on Y with target space M approximate Yang-Mills instantons on Y×. Z.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 894, 2015, p. 361-373.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Sigma-model limit of Yang-Mills instantons in higher dimensions
AU - Deser, Andreas
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Funding Information: This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 . Publisher Copyright: © 2015 The Authors. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2015
Y1 - 2015
N2 - We consider the Hermitian Yang-Mills (instanton) equations for connections on vector bundles over a 2n-dimensional Kähler manifold X which is a product Y×. Z of p- and q-dimensional Riemannian manifold Y and Z with p+. q=2. n. We show that in the adiabatic limit, when the metric in the Z direction is scaled down, the gauge instanton equations on Y×. Z become sigma-model instanton equations for maps from Y to the moduli space M (target space) of gauge instantons on Z if q≥. 4. For q<. 4 we get maps from Y to the moduli space M of flat connections on Z. Thus, the Yang-Mills instantons on Y×. Z converge to sigma-model instantons on Y while Z shrinks to a point. Put differently, for small volume of Z, sigma-model instantons on Y with target space M approximate Yang-Mills instantons on Y×. Z.
AB - We consider the Hermitian Yang-Mills (instanton) equations for connections on vector bundles over a 2n-dimensional Kähler manifold X which is a product Y×. Z of p- and q-dimensional Riemannian manifold Y and Z with p+. q=2. n. We show that in the adiabatic limit, when the metric in the Z direction is scaled down, the gauge instanton equations on Y×. Z become sigma-model instanton equations for maps from Y to the moduli space M (target space) of gauge instantons on Z if q≥. 4. For q<. 4 we get maps from Y to the moduli space M of flat connections on Z. Thus, the Yang-Mills instantons on Y×. Z converge to sigma-model instantons on Y while Z shrinks to a point. Put differently, for small volume of Z, sigma-model instantons on Y with target space M approximate Yang-Mills instantons on Y×. Z.
UR - http://www.scopus.com/inward/record.url?scp=84941659619&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2015.03.009
DO - 10.1016/j.nuclphysb.2015.03.009
M3 - Article
AN - SCOPUS:84941659619
VL - 894
SP - 361
EP - 373
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -