$F$-theory over a Fano threefold built from $A_4$-roots

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Theoretical and Mathematical Physics Pub Date : 2022-12-27 DOI:10.4310/atmp.2022.v26.n2.a3
Herbert Clemens, Stuart Raby
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引用次数: 0

Abstract

In a previous paper, the authors showed the advantages of building a $\mathbb{Z}_2$-action into an $F$-theory model $W_4 / B_3$, namely the action of complex conjugation on the complex algebraic group with compact real form $E_8$. The goal of this paper is to construct the Fano threefold $B_3$ directly from the roots of $SU(5)$ in such a way that the action of complex conjugation is exactly the desired $\mathbb{Z}_2$-action and the quotient of this action on $W_4 / B_3$ and its Heterotic dual have the phenomenologically correct invariants.
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$F$-基于$A_4$-根构建的Fano三重理论
在上一篇文章中,作者证明了将$\mathbb{Z}_2$-作用建立为$F$-理论模型$W_4 / B_3$,即复共轭作用在紧实形式$E_8$的复代数群上的优点。本文的目的是直接从$SU(5)$的根构造Fano三重$B_3$,使复共轭作用正好是期望的$\mathbb{Z}_2$-作用,并且该作用在$W_4 / B_3$及其异偶对偶上的商具有现象学正确的不变量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics 物理-物理:粒子与场物理
CiteScore
2.20
自引率
6.70%
发文量
0
审稿时长
>12 weeks
期刊介绍: Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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