Publications at the Riemann Center

Auxiliary tensor fields for Sp(2, ℝ) self-duality

Authored by

Evgeny A. Ivanov, Olaf Lechtenfeld, Boris M. Zupnik

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.

Details

Organisation(s)
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
External Organisation(s)
Joint Institute for Nuclear Research
Type
Article
Journal
Journal of high energy physics
Volume
2015
ISSN
1126-6708
Publication date
01.03.2015
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Nuclear and High Energy Physics
Electronic version(s)
https://doi.org/10.1007/JHEP03(2015)123 (Access: Open )