Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

IF 5.6 3区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Fortschritte Der Physik-Progress of Physics Pub Date : 2024-11-23 DOI:10.1002/prop.202400161

Abhiram Kidambi, Masaki Okada, Taizan Watari

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引用次数: 0

Abstract

S. Gukov and C. Vafa proposed a characterization of rational $N = (1, 1)$ superconformal field theories (SCFTs) in $1 + 1$ dimensions with Ricci-flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore. The idea is refined, and a conjectural statement on necessary and sufficient conditions for such SCFTs to be rational is obtained, which is indeed proven to be true in the case the target space is $T^{4}$ . In the refined statement, the algebraicity of the geometric data of the target space turns out to be essential, and the Strominger–Yau–Zaslow fibration in the mirror correspondence also plays a vital role.

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来源期刊

Fortschritte Der Physik-Progress of Physics 物理-物理：综合

CiteScore

6.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Fortschritte der Physik - Progress of Physics is a pure online Journal (since 2013). Fortschritte der Physik - Progress of Physics is devoted to the theoretical and experimental studies of fundamental constituents of matter and their interactions e. g. elementary particle physics, classical and quantum field theory, the theory of gravitation and cosmology, quantum information, thermodynamics and statistics, laser physics and nonlinear dynamics, including chaos and quantum chaos. Generally the papers are review articles with a detailed survey on relevant publications, but original papers of general interest are also published.