RNS superstring measure for genus 3

IF 5.5 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-10-22 DOI:10.1007/JHEP10(2025)193

P. Dunin-Barkowski, I. Fedorov, A. Sleptsov

引用次数: 0

Abstract

We propose a new formula for the RNS superstring measure for genus 3. Our derivation is based on invariant theory. We follow Witten’s idea of using an algebraic parametrization of the moduli space (which he applied to re-derive D’Hoker and Phong’s formula for the RNS superstring measure for genus 2); but the particular parametrization that we use has not been applied to superstring theory before. We prove that the superstring measure is a linear combination (with complex coefficients) of three known functions. Furthermore, we conjecture the values of the coefficients of this linear combination and provide evidence for this conjecture. Unlike the Ansatz of Cacciatori, Dalla Piazza and van Geemen from 2008, our formula has a polar singularity along the hyperelliptic locus; the existence of this singularity was established by Witten in 2015. Moreover, our formula is not an Ansatz but follows from first principles, except for the values of the three coefficients.

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属3的RNS超弦测度

我们提出了一个关于属3的RNS超弦测度的新公式。我们的推导是基于不变理论的。我们遵循Witten使用模空间的代数参数化的想法（他将其应用于重新推导D 'Hoker和Phong的公式，用于RNS超弦测量2）；但是我们使用的特殊参数化以前没有应用到超弦理论中。证明了超弦测度是三个已知函数的线性组合（带复系数）。进一步，我们推测了这个线性组合的系数值，并为这个猜想提供了证据。与2008年的Cacciatori， Dalla Piazza和van Geemen的Ansatz不同，我们的公式沿着超椭圆轨迹有一个极奇点；这个奇点的存在是由Witten在2015年确定的。此外，我们的公式不是一个Ansatz，而是遵循第一原理，除了三个系数的值。

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

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).