Submissions from Yuta T. Kimura
- [1] faKiv:2405.08692 [pdf]
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Fermions and spinorsComments: 6 pages, no figure, v2: typos corrected, two references added, minor changes
We investigate the complex structure of the scalar $\mathcal{N}=2$ superconformal field theory (SCFT) in the presence of spinors. We focus on the case of the $\mathcal{N}=2$ SCFT in the presence of $2$ super-Schwarzschild black holes in a two-dimensional region. We show that the structure of the SCFT in the presence of spinors is quite different from the SCFT in the absence of fermions. We also show that if the case of $\mathcal{N}=2$ SCFT is characterised by a complex structure, the scalar $\mathcal{N}=2$ SCFT behaves like the $2$-vector $\mathcal{N}=2$ SCFT with the $2$-vector $\mathcal{N}=2$ as an operator. We discuss the implications of these results for the $2$-vector $\mathcal{N}=2$ SCFT and the structure of the $\mathcal{N}=2$ SCFT.