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High Energy Physics - Theory

arXiv:1805.00617 (hep-th)
[Submitted on 2 May 2018]

Title:Linearizing extended nonlinear supersymmetry in two dimensional spacetime

Authors:Motomu Tsuda
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Abstract:We linearize nonlinear supersymmetry in the Volkov-Akulov (VA) theory for extended SUSY in two dimensional spacetime ($d = 2$) based on the commutator algebra. Linear SUSY transformations of basic component fields for general vector supermultiplets are uniquely determined from variations of functionals (composites) of Nambu-Goldstone (NG) fermions, which are represented as simple products of powers of the NG fermions and a fundamental determinant in the VA theory. The structure of basic component fields with general auxiliary fields in the vector supermultiplets and transitions to $U(1)$ gauge supermultiplets through recombinations of the functionals of the NG fermions are explicitly shown both in $N = 2$ and $N = 3$ theories as the simplest and general examples for extended SUSY theories in $d = 2$.
Comments: 26 pages
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1805.00617 [hep-th]
  (or arXiv:1805.00617v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.00617
Related DOI: https://doi.org/10.1016/j.nuclphysb.2018.11.013

Submission history

From: Motomu Tsuda [view email]
[v1] Wed, 2 May 2018 04:17:45 UTC (19 KB)
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