Hyperbolic Superspaces and Super-Riemann Surfaces
| Autor: | Zhi Hu, Runhong Zong |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Hyperbolic geometry Riemann surface 010102 general mathematics FOS: Physical sciences Boundary (topology) Statistical and Nonlinear Physics Mathematical Physics (math-ph) Superspace 01 natural sciences Mathematics - Algebraic Geometry symbols.namesake 0103 physical sciences FOS: Mathematics symbols 010307 mathematical physics 0101 mathematics Algebraic Geometry (math.AG) Mathematical Physics Mathematical physics |
| Zdroj: | Communications in Mathematical Physics. 378:891-915 |
| ISSN: | 1432-0916 0010-3616 |
| Popis: | In this paper, we will generalize some results in Manin's paper "Three-dimensional hyperbolic geometry as $\infty$-adic Arakelov geometry" to the supergeometric setting. More precisely, viewing $\mathbb{C}^{1|1}$ as the boundary of the hyperbolic superspace $\mathcal{H}^{3|2}$, we reexpress the super-Green functions on the supersphere $\hat{\mathbb{C}}^{1|1}$ and the supertorus $T^{1|1}$ by some data derived from the supergeodesics in $\mathcal{H}^{3|2}$. |
| Databáze: | OpenAIRE |
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