Details
| Original language | English |
|---|---|
| Article number | 012023 |
| Journal | Journal of Physics: Conference Series |
| Volume | 474 |
| Issue number | 1 |
| Publication status | Published - 2013 |
| Event | 41st International Conference on Integrable Systems and Quantum Symmetries, ISQS 2013 - Prague, Czech Republic Duration: 12 Jun 2013 → 16 Jun 2013 |
Abstract
We survey a new approach to the duality-invariant systems of nonlinear electrodynamics, based on introducing auxiliary bi-spinor fields. In this approach, the entire information about the given self-dual system is encoded in the U(1) invariant interaction of the auxiliary fields, while the standard self-dual Lagrangians appear on shell as a result of eliminating auxiliary fields by their equations of motion. Starting from the simplest U(1) duality, we show how this approach can be generalized to the U(N) duality (with N independent Maxwell field strengths), as well as to self-dual systems of N = 1 supersymmetric electrodynamics. Also, it works perfectly for self-dual systems with higher derivatives in the action.
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In: Journal of Physics: Conference Series, Vol. 474, No. 1, 012023, 2013.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - New approach to duality-invariant nonlinear electrodynamics
AU - Ivanov, E.
AU - Lechtenfeld, O.
AU - Zupnik, B.
N1 - Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - We survey a new approach to the duality-invariant systems of nonlinear electrodynamics, based on introducing auxiliary bi-spinor fields. In this approach, the entire information about the given self-dual system is encoded in the U(1) invariant interaction of the auxiliary fields, while the standard self-dual Lagrangians appear on shell as a result of eliminating auxiliary fields by their equations of motion. Starting from the simplest U(1) duality, we show how this approach can be generalized to the U(N) duality (with N independent Maxwell field strengths), as well as to self-dual systems of N = 1 supersymmetric electrodynamics. Also, it works perfectly for self-dual systems with higher derivatives in the action.
AB - We survey a new approach to the duality-invariant systems of nonlinear electrodynamics, based on introducing auxiliary bi-spinor fields. In this approach, the entire information about the given self-dual system is encoded in the U(1) invariant interaction of the auxiliary fields, while the standard self-dual Lagrangians appear on shell as a result of eliminating auxiliary fields by their equations of motion. Starting from the simplest U(1) duality, we show how this approach can be generalized to the U(N) duality (with N independent Maxwell field strengths), as well as to self-dual systems of N = 1 supersymmetric electrodynamics. Also, it works perfectly for self-dual systems with higher derivatives in the action.
UR - http://www.scopus.com/inward/record.url?scp=84891132671&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/474/1/012023
DO - 10.1088/1742-6596/474/1/012023
M3 - Conference article
AN - SCOPUS:84891132671
VL - 474
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012023
T2 - 41st International Conference on Integrable Systems and Quantum Symmetries, ISQS 2013
Y2 - 12 June 2013 through 16 June 2013
ER -