Details
| Original language | English |
|---|---|
| Journal | Journal of high energy physics |
| Volume | 2015 |
| Issue number | 3 |
| Publication status | Published - 1 Mar 2015 |
Abstract
The coset Sp(2, ℝ)/U(1) is parametrized by two real scalar fields. We generalize the formalism of auxiliary tensor (bispinor) fields in U(1) self-dual nonlinear models of abelian gauge fields to the case of Sp(2, ℝ) self-duality. In this new formulation, Sp(2, ℝ) duality of the nonlinear scalar-gauge equations of motion is equivalent to an Sp(2, ℝ) invariance of the auxiliary interaction. We derive this result in two different ways, aiming at its further application to supersymmetric theories. We also consider an extension to interactions with higher derivatives.
Keywords
- Duality in Gauge Field Theories, Global Symmetries
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2015, No. 3, 01.03.2015.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Auxiliary tensor fields for Sp(2, ℝ) self-duality
AU - Ivanov, Evgeny A.
AU - Lechtenfeld, Olaf
AU - Zupnik, Boris M.
N1 - Publisher Copyright: © 2015, The Author(s). Copyright: Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - The coset Sp(2, ℝ)/U(1) is parametrized by two real scalar fields. We generalize the formalism of auxiliary tensor (bispinor) fields in U(1) self-dual nonlinear models of abelian gauge fields to the case of Sp(2, ℝ) self-duality. In this new formulation, Sp(2, ℝ) duality of the nonlinear scalar-gauge equations of motion is equivalent to an Sp(2, ℝ) invariance of the auxiliary interaction. We derive this result in two different ways, aiming at its further application to supersymmetric theories. We also consider an extension to interactions with higher derivatives.
AB - The coset Sp(2, ℝ)/U(1) is parametrized by two real scalar fields. We generalize the formalism of auxiliary tensor (bispinor) fields in U(1) self-dual nonlinear models of abelian gauge fields to the case of Sp(2, ℝ) self-duality. In this new formulation, Sp(2, ℝ) duality of the nonlinear scalar-gauge equations of motion is equivalent to an Sp(2, ℝ) invariance of the auxiliary interaction. We derive this result in two different ways, aiming at its further application to supersymmetric theories. We also consider an extension to interactions with higher derivatives.
KW - Duality in Gauge Field Theories
KW - Global Symmetries
UR - http://www.scopus.com/inward/record.url?scp=84961345682&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2015)123
DO - 10.1007/JHEP03(2015)123
M3 - Article
AN - SCOPUS:84961345682
VL - 2015
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 3
ER -