HEИндивидуална стипендия2024–2026

HigherSpinCFT · Higher-spin symmetry and duality in (super)conformal field theory

„Хоризонт Европа“ — Действия „Мария Склодовска-Кюри“

Период: 2024-04-08 → 2026-04-07
Финансиране от ЕС: 172 750 €
Участници: 1
Схема: HORIZON-TMA-MSCA-PF-EF

Линиите свързват координатора с партньорите.

Накратко на български

Квантовите полеви теории с разширена симетрия, като суперсиметрията, се анализират чрез нови математически инструменти в различни измерения. Това помага за по-доброто разбиране на елементарните частици, квантовата гравитация и физичните процеси извън Стандартния модел.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Higher-spin symmetry and duality in (super)conformal field theory

Modern physics relies on mathematical frameworks that describe how nature behaves at its most fundamental level. Among the most important of these frameworks are conformal field theories (CFTs) and supersymmetry, which underpin our understanding of elementary particles, critical phenomena in materials, and aspects of quantum gravity. These theories also play a central role in the search for physics beyond the current Standard Model. Despite their importance, many CFTs, especially in higher space-time dimensions, remain poorly understood. CFTs with extended symmetry (such as supersymmetry, higher-spin symmetry and duality invariance) have become a fertile research ground due to their links to string theory and their role as toy models for exploring questions that are otherwise inaccessible in field theories without supersymmetry. Superconformal field theories (SCFTs) have also influenced several branches of pure mathematics, including geometry, topology and integrable systems. This project aims to develop new mathematical tools to formulate these highly symmetric quantum field theories across diverse space-time dimensions. By establishing general frameworks applicable to broad classes of theories, the research will provide new methods for modern theoretical and mathematical physics.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

Conformal symmetry is the maximal spacetime symmetry in relativistic quantum field theory. Such a symmetry is also realised in condensed matter systems at second order phase transitions. Conformal field theories possessing higher-spin and/or duality symmetries, along with their supersymmetric extensions, have recently been the focus of enormous interest worldwide. This proposal puts forward a research program to explore the dynamics and quantum aspects of such theories. Using recent advances in group theoretic formalism to compute correlation functions, the project aims to develop novel, manifestly supersymmetric techniques used for comprehensive analysis of three-point functions for conserved higher-spin current multiplets in superconformal field theories in Minkowski and Anti-de Sitter backgrounds – both playing pivotal roles in deciphering celebrated dualities between quantum field and gravity theories. Another goal is to study, for the first time, the quantum properties of the recently discovered Modified Maxwell (ModMax) theory. The latter is a unique non-linear extension of Maxwell's electrodynamics which is conformal and duality invariant. It has opened new avenues, all to be discovered, to study new classes of non-analytic conformal field theories. The project outcomes will advance our knowledge of scattering amplitudes and their relation to anomalies of superconformal field theories on curved backgrounds, while at the same time giving new insight into the field of non-linear electrodynamics. These results will be of major significance for a wide range of areas of modern mathematical and theoretical high-energy physics including string theory, gravity, cosmology and condensed matter.

Оригинален текст от CORDIS (на английски).

Участници

ISTITUTO NAZIONALE DI FISICA NUCLEARE · FrascatiКоординаторИталия