Self-Duality of Various Chiral Boson Actions
Yan-Gang Miao, H. J. W. Mueller-Kirsten
TL;DR
This paper explores the duality symmetries of various chiral boson actions across D=2 and D=6 dimensions, revealing self-duality properties and their relation to different formulations and interactions.
Contribution
It identifies the self-duality properties of multiple chiral boson actions and introduces generalized dualization concepts for these formulations.
Findings
Siegel, Floreanini-Jackiw, and Pasti-Sorokin-Tonin actions are self-dual under anti-dualization.
Srivastava action is self-dual under a generalized dualization.
Interacting Floreanini-Jackiw chiral bosons also exhibit self-duality with generalized anti-dualization.
Abstract
The duality symmetries of various chiral boson actions are investigated using D=2 and D=6 space-time dimensions as examples. These actions involve the Siegel, Floreanini-Jackiw, Srivastava and Pasti-Sorokin-Tonin formulations. We discover that the Siegel, Floreanini-Jackiw and Pasti-Sorokin-Tonin actions have self-duality with respect to a common anti-dualization of chiral boson fields in D=2 and D=6 dimensions, respectively, while the Srivastava action is self-dual with respect to a generalized dualization of chiral boson fields. Moreover, the action of the Floreanini-Jackiw chiral bosons interacting with gauge fields in D=2 dimensions also has self-duality but with respect to a generalized anti-dualization of chiral boson fields.
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