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arXiv · 2008.00457

N=3-extended Supersymmetric Schwarzian and Liouville Theories

Shogo Aoyama
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Abstract

N=3 super-Schwarzian and N=(3,0) super-Liouville theories are formulated by the coadjoint orbit method. We study the coadjoint orbit dependence of the respective theories, represented by a superfield b. We show that it is renormalized into the N=3 super-Schwarzian derivative when the b field takes an appropriate configuration at the initial point of the orbit. Then the renormalized actions of the respective theories are invariant under OSp(2$|$3) transformations. If the configuration gets further specified, the initial point of the orbit turns out to be stable under one other kind of OSp(2$|$3) transformations as well.

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Shogo Aoyama. 2020-08-02. N=3-extended Supersymmetric Schwarzian and Liouville Theories. https://doi.org/10.1088/1751-8121%2Fac03c2

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